evaluation of reinforced concrete buildings when subjected ...building prototypical designs were...
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Research Report UHM/CEE/14-01 December 2014
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Evaluation of Reinforced Concrete Buildings When Subjected to Tsunami Loads
by
James Yokoyama
and
Ian N. Robertson
Research Report UHM/CEE/14-01
December, 2014
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ACKNOWLEDGMENTS
This report is based on a Master of Science Research Report prepared by James
Yokoyama under the direction of Ian Robertson.
The authors would also like to thank Gary Chock for developing the prototype
buildings used in this report and for providing valuable input and expertise. The authors
also would like to thank Lyle Carden and Guangren Yu for providing the tsunami transect
information for Hilo and Waikiki. The authors also thank Yuriy Mikhaylov for providing
valuable information with his research on tsunami effects on reinforced concrete buildings.
Finally, the authors wish to express their appreciation to Drs. Gaur Johnson and H. Ronald
Riggs for reviewing this report.
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ABSTRACT
The objective of this study was to develop prototypical designs of reinforced concrete
buildings and evaluate them for resistance to tsunami loading following the provisions of
“ASCE 7: Chapter 6 Tsunami Loads and Effects”. The mid-rise reinforced concrete
building prototypical designs were developed according to the wind and seismic provisions
of ASCE 7-10. Two different types of reinforced concrete buildings were considered: a six
story office building and a seven story residential building. Each of these prototype
buildings was considered in three locations: Hilo Hawaii, Waikiki Hawaii and Monterey
California. For each building and location, prototype designs were created for two different
soil types: Soil Type B and Soil Type D. Once the prototype buildings were designed for
wind and seismic loads, they were analyzed for tsunami loads appropriate for each
building location. It was determined that redesign of some structural members was
required for tsunami design of the buildings in Hilo and Waikiki. However, for the Monterey
buildings, no redesign was required for the moment frame building and minimal redesign
was needed for the shear wall building.
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TABLE OF CONTENTS
INTRODUCTION .................................................................................................................................... 1 1
1.1 OVERVIEW .......................................................................................................................................... 1 1.2 TSUNAMI GENERATION ...................................................................................................................... 2 1.3 INDIAN OCEAN TSUNAMI .................................................................................................................... 4 1.4 TOHOKU TSUNAMI .............................................................................................................................. 5
LITERATURE REVIEW ........................................................................................................................ 7 2
2.1 EVALUATION OF TSUNAMI LOADS AND THEIR EFFECT ON REINFORCED CONCRETE BUILDINGS ........... 7 2.2 FEMA P-646 ....................................................................................................................................... 8 2.3 EVALUATION OF PROTOTYPICAL REINFORCED CONCRETE BUILDING PERFORMANCE WHEN
SUBJECTED TO TSUNAMI LOADING ................................................................................................................... 8
TSUNAMI DESIGN PROVISIONS ..................................................................................................... 11 3
3.1 NOTATION ......................................................................................................................................... 11 3.2 LOAD CASES ..................................................................................................................................... 12 3.3 HYDROSTATIC LOADS ...................................................................................................................... 13
3.3.1 Buoyancy .....................................................................................................................................................14 3.4 HYDRODYNAMIC LOADS .................................................................................................................. 14
3.4.1 Overall Drag Force on Buildings and Other Structures .............................................................................14 3.4.2 Drag Force on Components ........................................................................................................................15 3.4.3 Bore Loads on Vertical Structural Components ..........................................................................................15
3.5 DEBRIS IMPACT LOADS .................................................................................................................... 16 3.5.1 Alternative Simplified Debris Impact Static Load .......................................................................................16 3.5.2 Design Instantaneous Debris Impact Force ................................................................................................16
3.6 IMPORTANCE FACTORS ..................................................................................................................... 17 3.7 LOAD COMBINATIONS ...................................................................................................................... 17
ENERGY GRADE LINE METHOD .................................................................................................... 19 4
DESIGN LOADS FOR PROTOTYPE BUILDINGS ......................................................................... 27 5
5.1 DESCRIPTION OF PROTOTYPE BUILDINGS ........................................................................................ 27 5.2 DEAD LOADS .................................................................................................................................... 29
5.2.1 Office Building Dead Loads ........................................................................................................................29 5.2.2 Residential Building Dead Loads ................................................................................................................30
5.3 LIVE LOADS ...................................................................................................................................... 31 5.3.1 Office Building Live Loads ..........................................................................................................................31 5.3.2 Residential Building Live Loads ..................................................................................................................31
5.4 WIND LOADS .................................................................................................................................... 31 5.4.1 Notation .......................................................................................................................................................31 5.4.2 Design Assumptions .....................................................................................................................................32 5.4.3 Wind Loads – Hilo, Hawaii .........................................................................................................................33 5.4.4 Wind Loads – Waikiki, Hawaii ....................................................................................................................34 5.4.5 Wind Loads – Monterey, California ............................................................................................................35
5.5 SEISMIC LOADS ................................................................................................................................. 36 5.5.1 Notation .......................................................................................................................................................36 5.5.2 Seismic Load Distribution ...........................................................................................................................37
PROTOTYPE BUILDING FINAL DESIGNS .................................................................................... 41 6
6.1 ETABS DRIFT ANALYSIS ................................................................................................................. 41 6.1.1 Special Moment Frame Office Building Design ..........................................................................................43 6.1.2 Intermediate Moment Frame Office Building Design ..................................................................................44
6.2 OFFICE BUILDING ............................................................................................................................. 44
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6.3 RESIDENTIAL BUILDING ................................................................................................................... 46 6.3.1 Hilo Residential Building Design ................................................................................................................46 6.3.2 Hilo Residential Building Design ................................................................................................................47
TSUNAMI DESIGN LOADS ................................................................................................................ 51 7
7.1 OVERALL BUILDING DRAG FORCE ................................................................................................... 51 7.2 COMPONENT DRAG FORCE ............................................................................................................... 53
7.2.1 Drag Force on Components ........................................................................................................................53 7.2.2 Bore Loads on Vertical Structural Components ..........................................................................................53
7.3 DEBRIS IMPACT LOADS .................................................................................................................... 53
TSUNAMI BUILDING DESIGNS ........................................................................................................ 55 8
8.1 OFFICE BUILDING TSUNAMI DESIGNS .............................................................................................. 55 8.1.1 Moment Frame Analysis ..............................................................................................................................55 8.1.2 Beam Designs ..............................................................................................................................................57 8.1.3 Column Designs ...........................................................................................................................................58
8.2 RESIDENTIAL BUILDING TSUNAMI DESIGNS .................................................................................... 64 8.2.1 Shear Wall Analysis .....................................................................................................................................64 8.2.2 Elevator Shear Wall Designs .......................................................................................................................67 8.2.3 Stairwell Shear Wall Designs ......................................................................................................................69 8.2.4 External Gravity Column Designs ...............................................................................................................70
MATERIAL QUANTITY COMPARISON ......................................................................................... 73 9
9.1 MATERIAL QUANTITY COMPARISON ................................................................................................ 73
CONCLUSIONS ................................................................................................................................. 77 10
REFERENCES ................................................................................................................................... 79 11
APPENDIX A – HILO TSUNAMI DESIGN LOADS SAMPLE CALCULATION ................................ 81
APPENDIX B – ETABS MOMENT AND SHEAR DIAGRAMS ............................................................. 91
APPENDIX C – ENERGY GRADE LINE TRANSECT PROFILE PLOTS ......................................... 167
APPENDIX
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LIST OF FIGURES
Figure 1-1: Tsunami Generation ......................................................................................................................... 4 Figure 4-1: Transect Lines for Hilo Building Location .................................................................................... 20 Figure 4-2: Transect Lines for Waikiki Building Location .............................................................................. 21 Figure 4-3: Transect Lines for Monterey Building Location ........................................................................... 22 Figure 4-4: Inundation Depths for Hilo Transect Lines ................................................................................... 24 Figure 4-5: Inundation Depths for Waikiki Transect Lines .............................................................................. 25 Figure 4-6: Flow Velocities Based on Distance from Shoreline for Hilo Transect Lines ................................ 25 Figure 4-7: Flow Velocities Based on Distance from Shoreline for Waikiki Transect Lines .......................... 26 Figure 5-1: Prototype Office Building Plan and Elevation Views ................................................................... 28 Figure 5-2: Prototype Residential Building Plan and Elevation Views ............................................................ 29 Figure 6-1: ETABS Model of Special Moment Frame Building with Hilo Soil D Seismic Loads .................. 42 Figure 6-2: ETABS Model of Special Shear Wall Building with Hilo Soil D Seismic Loads ......................... 43 Figure 8-1: ETABS Model of Special Moment Frame Building with Hilo Tsunami Overall Building Drag
Force ................................................................................................................................................................. 55 Figure 8-2: ETABS North-South Special Moment Frame Column Moment Diagram Due to Hilo Tsunami
Overall Building Drag Force ............................................................................................................................ 56 Figure 8-3: RISA 2-D Special Moment Frame Column Moment Diagram Due to Hilo Tsunami
Hydrodynamic Component Drag Force ........................................................................................................... 57 Figure 8-4: Location of Moment Frame Columns Affected by Overall Building Drag Force ......................... 59 Figure 8-5: Hilo SMRF Beam Flexural Reinforcing Due to Tsunami Building Forces - Soil D ..................... 61 Figure 8-6: Boundary reinforcing (left) and midspan reinforcing (right) for the Hilo Seismic Soil D first floor
moment frame beams........................................................................................................................................ 63 Figure 8-7: Boundary reinforcing (left) and midspan reinforcing (right) for the Hilo Tsunami Overall
Building Drag Force first floor moment frame beams. .................................................................................... 63 Figure 8-8: Boundary reinforcing the Hilo Seismic Soil D first floor moment frame columns. ...................... 64 Figure 8-9: Boundary reinforcing for the Hilo Tsunami Overall Building Drag Force first floor moment
frame columns. ................................................................................................................................................. 64 Figure 8-10: ETABS Model of Special Shear Wall Building with Hilo Tsunami Overall Building Drag Force
.......................................................................................................................................................................... 65 Figure 8-11: ETABS Stairwell Shear Wall Moment Diagram Due to Hilo Tsunami Overall Building Drag
Force ................................................................................................................................................................. 66 Figure 8-12: RISA 2-D 12” Width Elevator Shear Wall Segment Moment Diagram Due to Hilo Tsunami
Hydrodynamic Component Drag Force ........................................................................................................... 67 Figure 8-13: Reinforcing for the Hilo Seismic Soil D first floor elevator shear walls. .................................... 69 Figure 8-14: Reinforcing for the Hilo Tsunami Component Force first floor elevator shear walls. ................ 69
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LIST OF TABLES Table 3-1: Velocity and Flow Depths for Each Load Case .............................................................................. 13 Table 3-2: Tsunami Importance Factors ........................................................................................................... 17 Table 5-1: Wind Loads for Hilo Office Building ............................................................................................. 33 Table 5-2: Wind Loads for Hilo Residential Building ..................................................................................... 34 Table 5-3: Wind Loads for Waikiki Office Building ....................................................................................... 34 Table 5-4: Wind Loads for Waikiki Residential Building ................................................................................ 35 Table 5-5: Wind Loads for Monterey Office Building ..................................................................................... 35 Table 5-6: Wind Loads for Monterey Residential Building ............................................................................. 36 Table 5-7: Moment Frame Building Seismic Design Criteria .......................................................................... 37 Table 5-8: Shear Wall Building Seismic Design Criteria ................................................................................. 37 Table 5-9: Moment Frame Building Seismic Loads – Soil D .......................................................................... 38 Table 5-10: Moment Frame Building Seismic Loads – Soil B ........................................................................ 38 Table 5-11: Shear Wall Building Seismic Loads – Soil D ............................................................................... 38 Table 5-12: Shear Wall Building Seismic Loads – Soil B ............................................................................... 39 Table 6-1: Flexural Reinforcing of Typical Beam Sections – Soil D ............................................................... 45 Table 6-2: Shear Reinforcing of Typical Beam Sections – Soil D ................................................................... 45 Table 6-3: Flexural Reinforcing of Typical Beam Sections – Soil B ............................................................... 45 Table 6-4: Shear Reinforcing of Typical Beam Sections – Soil B ................................................................... 45 Table 6-5: Reinforcing of Typical Special MRF Column Sections – Soil D ................................................... 45 Table 6-6: Reinforcing of Typical Intermediate MRF Column Sections – Soil D ........................................... 46 Table 6-7: Reinforcing of Typical Special MRF Column Sections – Soil B ................................................... 46 Table 6-8: Reinforcing of Typical Intermediate MRF Column Sections – Soil B ........................................... 46 Table 6-9: Reinforcing of Typical Office Building Gravity Columns ............................................................. 46 Table 6-10: Reinforcing of Typical Special Elevator Shear Walls – Soil D .................................................... 47 Table 6-11: Reinforcing of Typical Ordinary Elevator Shear Walls – Soil D.................................................. 47 Table 6-12: Reinforcing of Typical Special Stairwell Shear Walls – Soil D ................................................... 48 Table 6-13: Reinforcing of Typical Ordinary Stairwell Shear Walls – Soil D ................................................. 48 Table 6-14: Reinforcing of Typical Special Elevator Shear Walls – Soil B .................................................... 48 Table 6-15: Reinforcing of Typical Ordinary Elevator Shear Walls – Soil B .................................................. 49 Table 6-16: Reinforcing of Typical Special Stairwell Shear Walls – Soil B ................................................... 49 Table 6-17: Reinforcing of Typical Ordinary Stairwell Shear Walls – Soil B ................................................. 49 Table 6-18: Reinforcing of Typical Residential Building Gravity Columns .................................................... 49 Table 8-1: Hilo SMRF Beam Flexural Reinforcing Due to Overall Building Drag Force - Soil D ................. 57 Table 8-2: Hilo SMRF Beam Flexural Reinforcing Due to Overall Building Drag Force - Soil B ................. 58 Table 8-3: Hilo SMRF Beam Shear Reinforcing Due to Overall Building Drag Force - Soil D ..................... 58 Table 8-4: Hilo SMRF Beam Shear Reinforcing Due to Overall Building Drag Force - Soil B ..................... 58 Table 8-5: Hilo SMRF Column Reinforcing Due to Overall Building Drag Force - Soil D ............................ 59 Table 8-6: Hilo SMRF Column Reinforcing Due to Overall Building Drag Force - Soil B ............................ 60 Table 8-7: Waikiki IMRF Column Reinforcing Due to Overall Building Drag Force - Soil B ....................... 60 Table 8-8: Hilo SMRF Column Reinforcing Due to Tsunami Component Forces - Soil D ............................ 61 Table 8-9: Waikiki IMF Column Reinforcing Due to Tsunami Component Forces - Soil D .......................... 62 Table 8-10: Hilo SMRF Column Reinforcing Due to Tsunami Component Forces - Soil B ........................... 62 Table 8-11: Waikiki IMRF Column Reinforcing Due to Tsunami Component Forces - Soil B ...................... 62 Table 8-12: Hilo Special Elevator Shear Wall Reinforcing Due to Tsunami Component Forces.................... 68 Table 8-13: Waikiki Elevator Shear Wall Reinforcing Due to Tsunami Component Forces .......................... 68 Table 8-14: Monterey Elevator Shear Wall Reinforcing Due to Tsunami Component Forces ........................ 68 Table 8-15: Hilo Special Stairwell Shear Wall Due to Overall Building Drag Force – Soil D ........................ 70 Table 8-16: Hilo Special Stairwell Shear Wall Due to Overall Building Drag Force – Soil B ........................ 70 Table 8-17: Hilo Residential Building Exterior Gravity Column Reinforcing Due to Tsunami Component
Forces ............................................................................................................................................................... 71
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Table 8-18: Oahu Residential Building Exterior Gravity Column Reinforcing Due to Tsunami Component
Forces ............................................................................................................................................................... 71 Table 9-1: Concrete Quantity Comparison ....................................................................................................... 73 Table 9-2: Reinforcement Quantity Comparison ............................................................................................. 74
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Introduction 1
1.1 Overview
All structures in the United States of America are designed for both gravity loads and
lateral loads. The two main categories of lateral loads that are considered during the
structural design phase are wind and seismic loads. Special detailing can be incorporated
into the design of structures to allow the structure to withstand earthquakes and hurricanes
to prevent collapse. However, there are currently limited design provisions provided by
building codes to design structures for tsunami loads.
Tsunamis have the potential to cause widespread destruction and massive loss of life
in coastal areas, as evidenced by recent natural disasters such as the 2004 Indian Ocean
tsunami and the 2011 Tohoku tsunami. With the implementation of a tsunami building code
to guide design of structures to withstand tsunamis, such destruction can possibly be
prevented. Hawaii is particularly at risk for a major tsunami due to its geographical
location. Therefore, Hawaii’s vulnerability emphasizes the importance of its structures
being designed to withstand major tsunamis.
A proposed Chapter 6 of the ASCE 7 Standard (ASCE, 2010) has been developed to
establish a design standard for use in coastal areas in the United States susceptible to
tsunamis, including Hawaii. The objective of this report is to create mid-rise reinforced
concrete buildings designed according to the wind and seismic provisions of ASCE 7-10,
and evaluate them for resistance to tsunami loading following the provisions of “ASCE 7:
New Chapter 6 Tsunami Loads and Effects”.
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1.2 Tsunami Generation
Tsunamis are generated when a significant volume of water in the ocean is displaced
in a short amount of time. In most cases, this displacement is caused by earthquakes on
the ocean floor.
A subduction zone is an area on the earth’s crust where two tectonic plates move
toward one another, with one plate riding over the other. The overriding plate forces the
subduction plate down into the mantle of the earth with plate tectonic forces. Due to
roughness of the plate surfaces, friction causes the overriding plate to become stuck on
the subduction plate. Continued motion between the plates increases stress in the
overriding plate over time, thereby deforming the overriding plate. Eventually, the energy
accumulated in the overriding plate exceeds the friction forces, causing the plate to snap
back into its original position, thereby causing an earthquake. Such earthquakes at
subduction zones (as opposed to earthquakes at convergent or transform boundaries) are
particularly dangerous, because these earthquakes cause the vertical deformation
necessary for a tsunami to form in the ocean.
If a subduction zone earthquake occurs on the ocean floor, the overriding plate pushes
water up as it snaps back to its original position (Fig. 1-1). The deformation of water can
cause a tsunami. When the tsunami is far from shore in deep water, it has a long wave
length and small amplitude. The amplitude of a tsunami in deep water is generally small.
Due to this low amplitude, tsunamis are difficult to detect when far from shore.
As a tsunami approaches shallower water, it increases in height due to wave shoaling.
As a tsunami gets closer to shore increased friction from the ocean floor due to shallower
waters cause wave speed and wave length to decrease. However, the energy of the wave
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must remain constant, so this reduction in speed and wave length is compensated with a
significant increase in wave height.
In major tsunamis, waves tend to break offshore before approaching land as bores
(powerful walls of turbulent water). These bores run deep inland and can cause major
damage to whatever exists in their path. After the bore reaches its maximum run up, the
water then recedes back into the ocean, causing even more damage. In most cases,
tsunamis come in sets of waves. After each consecutive wave, the water that runs inland
recedes preparing for inundation of the next wave. As this cycle repeats itself, more and
more damage is caused to the tsunami inundation zone. Debris from damages structures
that recedes into the ocean can be launched back inland with the next wave, behaving as
a projectile and further magnifying the damage caused by each successive wave.
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Figure 1-1: Tsunami Generation
1.3 Indian Ocean Tsunami
On December 26th 2004, a 9.3 magnitude earthquake occurred along a subduction
zone at the Northeast edge of the Indian Ocean. The earthquake resulted in a major
tsunami which hit many countries in the Indian Ocean, including Indonesia, Sri Lanka,
India, Thailand, and Malaysia. The tsunami resulted in widespread damage of structures in
the affected countries.
The Canadian Association for Earthquake Engineering (CAEE) wrote a
reconnaissance report following the Indian Ocean Tsunami (CAEE, 2005). A team of
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engineers visited Thailand and Indonesia to examine the performance of coastal
structures. It was determined that lateral forces generated by the tsunami waves were
much larger than design wind forces. The lateral forces from the tsunami waves were large
enough to damage unreinforced masonry walls within the height of the wave. In addition to
unreinforced masonry buildings, it was also determined that low rise non-engineered
reinforced concrete frame buildings and low-rise timber frame structures suffered major
damage due to tsunami wave forces. These buildings were also damaged extensively by
impact forces from floating debris. However, the report also determined that engineered
reinforced concrete frames appeared to have sufficient strength to withstand tsunami
forces. The engineers observed that structural components of engineered reinforced
concrete buildings sustained little damage. It was observed that nonstructural elements of
these buildings would often fail before critical loads were achieved on structural members.
The failure of the nonstructural members thereby relieved some pressure on the structural
elements of the building.
1.4 Tohoku Tsunami
On March 11th 2011, a 9.0 magnitude subduction earthquake hit approximately 100
kilometers off the northeast (Tohoku) coast of Honshu, the main island of Japan. The
earthquake generated a major tsunami which affected much of the Tohoku region of
Japan. According to the Japan Meteorological Agency, the movement of ocean floor was
estimated to be 3 meters upward and 24 meters laterally at the megathrust fault (Chock et
al. 2011). The Japanese government estimates that 264,468 buildings either collapsed or
partially collapsed primarily from tsunami inundation. It was also estimated that the
disaster caused over $217 billion in damages. There were over 20,000 fatalities or missing
persons in the tsunami-affected coastal areas of Honshu (Chock et al. 2011).
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From April 15 to May 1 2011, a team from the ASCE 7 Subcommittee on Tsunami
Loads & Effects performed a reconnaissance visit to survey the effects of the Tohoku
tsunami. The team focused on tsunami effects on coastal buildings, bridges, port facilities,
and coastal protective structures.
It was observed that nearly all residential light frame buildings completely collapsed in
areas with a tsunami inundation of a story height or more. In coastal inundation areas,
75%-95% of low rise buildings collapsed. However, several taller multistory buildings
survived the disaster and retained structural integrity in their vertical load carrying
members and foundation. A significant number of the surviving buildings did not seem to
have significant structural damage from either the earthquake or tsunami forces. Mid-rise
buildings with robust columns or shear walls also performed relatively well if the building
was high enough. This lack of structural damage in a number of the buildings shows
potential tsunami resistance of larger modern buildings with robust seismic designs and
uplift-resistant foundations. The results of this study proved that it is very realistic for taller
structures to be designed to withstand tsunami events, thereby allowing the buildings to
serve as vertical evacuation refuges.
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Literature Review 2
2.1 Evaluation of Tsunami Loads and Their Effect on Reinforced Concrete Buildings
In Evaluation of Tsunami Loads and Their Effect on Reinforced Concrete Buildings
(Pacheco and Robertson, 2005), the performance of typical reinforced concrete buildings
was analyzed under tsunami loads. The analysis was used to determine the buildings’
potential for vertical evacuation. Tsunami forces were calculated based on guidelines from
the City and County of Honolulu Building Code (CCH, 2000) and the Federal Emergency
Management Agency Coastal Construction Manual, (FEMA 2000). The buildings that were
analyzed were prototype buildings designed by S.K. Ghosh and David Fanella in Seismic
and Wind Design of Concrete Buildings (Ghosh and Fanella, 2003). It was determined
from this study that the moment resisting frame building and shear wall frame building
design for high seismic design categories were able to resist the tsunami forces.
However, individual shear walls subjected to out of plane tsunami forces could
possibly fail, leading to progressive collapse. The prototype bearing wall structure
performed poorly under tsunami loads. However, this research had some shortcomings.
The prototype reinforced concrete buildings were oversimplified and not representative of
typical coastal buildings which would be at risk for tsunamis. Also, the tsunami load
calculation guidelines in CCH and FEMA 2000 were oversimplified and did not adequately
model tsunami flow force. It was concluded in the study that experimental validation of
tsunami velocity and flow depth was needed and that wave tank studies needed to be
performed to verify debris and hydrodynamic tsunami loading.
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2.2 FEMA P-646
In 2004, the Federal Emergency Management Agency (FEMA) began a project to
develop design guidelines for structures to withstand both tsunami and earthquake loads.
FEMA addressed this issue due to the multitude of areas on the west coast of the United
States that are vulnerable to a major tsunami. These communities are extremely
vulnerable to a tsunami caused by an earthquake on the Cascadia subduction zone. Such
a tsunami could potentially reach to the coastline within 20 minutes after the earthquake,
making horizontal evacuation extremely difficult in at-risk communities on the west coast.
In such cases, the best chance for survival would be to evacuate vertically up a building
designed to withstand tsunami loads. This concept was shown to be effective in the Indian
Ocean tsunami, where many people were able to survive by evacuating to upper floors of
engineered reinforced concrete buildings.
In 2008, Guidelines for Design of Structures for Vertical Evacuation from Tsunamis
(FEMA P-646) was published, which provides guidance on tsunami structural design for
coastal regions (FEMA 2008). FEMA P-646 includes information on tsunami assessment,
load determination, structural design criteria, and options for vertical evacuation. In 2012,
the second edition of FEMA P-646 was published (FEMA 2012). The second edition
updated reference documents to current versions, provided observations and lessons
learned based on the 2011 Tohoku tsunami, and revised debris impact load equations.
2.3 Evaluation of Prototypical Reinforced Concrete Building Performance When Subjected to Tsunami Loading
In Evaluation of Prototypical Reinforced Concrete Building Performance When
Subjected to Tsunami Loading (Mikhaylov and Robertson, 2009), multi-story reinforced
concrete residential and office buildings were designed for three different seismic
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conditions using IBC 2006. The seismic conditions were chosen such that they
represented conditions common to different locations in Hawaii. Each of these buildings
was then analyzed under tsunami loads calculated using the first edition of FEMA P-646
(FEMA 2008) to determine if it could be used for tsunami evacuation. If the building was
deemed inadequate according to tsunami design standards, the amount of additional
concrete and reinforcement needed to make the structure tsunami resistant was
determined.
The study concluded that multi-story reinforced concrete office and residential
buildings can be realistically designed to survive major tsunamis and can be used for
vertical evacuation. It was determined that the prototype buildings in the study would need
less than an 8% increase in reinforcing steel weight and less than a 3% increase in
concrete volume in order to become tsunami resistant. It was also determined that special
moment-resisting frame structures designed for high seismic conditions may not need
upgrades to resist tsunami loads. However, structural walls subject to out-of-plane shear
from tsunami loads may need additional shear reinforcement. Also, it was concluded that
debris impact loads from shipping containers would likely lead to shear and/or bending
failure of individual reinforced concrete columns. Therefore, tsunami- resistant buildings
should be designed to prevent progressive collapse in case of an individual column failure.
From the study, shortcomings of the first edition of FEMA P-646 were discovered. It
was concluded that the maximum water depth and bore velocity as calculated by FEMA P-
646 were very low and did not accurately represent a typical tsunami bore. In
Characterization of Tsunami-Like Bores in Support of Loading on Structures (Mohamed,
2008), small tsunami waves were tested on wet and dry beds and equations were created
to determine the velocity of a tsunami bore. It was concluded that Mohamed’s equation for
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tsunami wave velocity on a wet bed better represented the actual velocity of an expected
tsunami bore in Waikiki than FEMA P-646’s wave velocity equation. Therefore, Mohamed’s
flow velocity equation was used for the determination of tsunami forces on the building.
According to Mikhaylov and Robertson, another shortcoming of the first edition of
FEMA P-646 was an inaccurate estimation of the stiffness of shipping containers. FEMA
P-646 suggested that the mass of an empty shipping container should be used in the
design process. However, in the event of a major tsunami, there exists a possibility that a
filled shipping container could act as a floating projectile force. A filled shipping container
would have greater mass, possibly resulting in larger debris loads. The report also
concluded that the shipping container stiffness values provided by FEMA P-646 were
considered too high. For the tsunami design in the report, more accurate container
stiffness was estimated by examining and measuring several different shipping containers.
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Tsunami Design Provisions 3
For this report, “ASCE 7: Chapter 6 Tsunami Loads and Effects” will be used to
calculate the tsunami loads used in the analysis of the prototype buildings. This document
consists of a set of proposals to establish the first national design standard for tsunami
design. This chapter of the ASCE 7 code would be used for tsunami design in Alaska,
Washington, Oregon, California and Hawaii, where there exists a quantifiable tsunami risk.
According to the draft chapter, structural engineers in these states are being asked to
incorporate tsunami-resilient designs in critical structures, thereby creating a need for an
engineering standard for tsunami design. The proposed ASCE 7 Chapter 6 categorizes
tsunami loads into hydrostatic loads, hydrodynamic loads, and debris impact loads.
3.1 Notation
𝐴𝑏𝑒𝑎𝑚 – Vertical projected area of a beam element
𝐴𝑐𝑜𝑙 – Vertical projected area of a column element
𝐴𝑤𝑎𝑙𝑙 – Vertical projected area of a wall
b – Width subject to force
B – Building width
𝐶𝑐𝑥 – Ratio of solid element area to the overall building area or closure coefficient
𝐶𝑑 – Drag coefficient, from Table 6.10-1 in Chapter 6
𝐹𝑑 – Drag force on a component
𝐹𝑑𝑥 – Drag force on a structure at each level
𝐹𝑖 – Debris impact design force
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𝐹𝑛𝑖 – Nominal maximum instantaneous debris impact force
𝐹𝑣 – Buoyancy force
𝐹𝑤 – Tsunami load on vertical structural components
h – Tsunami inundation depth
ℎ𝑒 – Inundated height of an element
ℎ𝑚𝑎𝑥 – Maximum inundation depth
ℎ𝑠 – Top of floor slab elevation
ℎ𝑠𝑥 – Story height of a given story x
𝐼𝑡𝑠𝑢 – Importance factor of tsunami forces
𝑘 – Effective stiffness of the impacting debris
𝑚𝑑 – Mass of debris object
u – Tsunami flow velocity
𝑢𝑚𝑎𝑥 – Maximum tsunami flow velocity
𝑉𝑤 – Displaced water volume
𝛾𝑠 – Fluid weight density
𝜌𝑠 – Fluid mass density
3.2 Load Cases
For calculation of tsunami loads, three load cases need to be analyzed. Each load
case represents different critical design stages of structural loading.
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Load Case 1 is the loading situation associated with maximum buoyancy. The
structure is designed with a maximum buoyant force and the associated hydrodynamic
forces. The main purpose of checking this load case is to check the stability of the
structure and its foundation against net uplift. Load Case 2 is associated with maximum
flow velocity of the tsunami, thereby resulting in maximum hydrodynamic forces on the
structure. Load Case 2 uses two-thirds of the max inundation depth. Load Case 3 is
associated with maximum inundation depth. For Load Case 3, velocity is assumed to be
one-third the maximum velocity. The maximum flow depth and velocity at each site were
determined using the Energy Grade Line Method proposed in ASCE 7 Chapter 6. Table 3-
1 lists the velocity and flow depth for each load case at each building location.
Table 3-1: Velocity and Flow Depths for Each Load Case
Flow Parameters Hilo Waikiki Monterey
Max. Inundation Depth, hmax (ft) 55 25 13
Max. Flow Velocity, umax (fps) 35.8 28 18
3.3 Hydrostatic Loads
Hydrostatic tsunami loads occur in structures due to standing or slowly moving water.
Hydrostatic loads imparted on structures can be split into three main categories: buoyancy,
unbalanced lateral hydrostatic forces, and residual water surcharge loads. For the
purposes of this project, only the buoyant forces were calculated for the design of the
structures. However, we are assuming the slab-on-grade of both the office and residential
buildings to be non-structural. A non-structural slab implies that the grade beams are not
tied into the slab-on-grade. Therefore it was assumed that buoyancy forces would not
result in building uplift.
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3.3.1 Buoyancy
Uplift due to buoyancy is an upward force that results from air being trapped in an
enclosed inundated portion of a structure. Buoyancy needs to be considered in enclosed
spaces without breakaway walls that have an opening area of less than 25% of the exterior
wall area. Buoyant force equals the weight of the water being displaced, and can be
calculated using Equation 3-1.
𝐹𝑣 = 𝛾𝑠𝑉𝑤
Equation 3-1: Buoyant Force
3.4 Hydrodynamic Loads
Hydrodynamic tsunami loads are caused by water flowing around structural
components at a moderate to high velocity. These forces can be caused by either
incoming or outgoing flow. According to the proposed ASCE 7 Chapter 6, a structure’s
lateral force resisting system and all structural components below the tsunami inundation
elevation must be designed for hydrodynamic forces.
3.4.1 Overall Drag Force on Buildings and Other Structures
The lateral force resisting system of the building must be designed to resist
hydrodynamic tsunami drag forces at each level. This force can be caused by either
incoming or outgoing flow. The overall drag force on a building can be calculated with
Equation 3-2.
𝐹𝑑𝑥 =1
2𝜌𝑠𝐼𝑡𝑠𝑢𝐶𝑑𝐶𝑐𝑥𝐵(ℎ𝑢2)
Equation 3-2: Tsunami Overall Building Drag Force
Ccx is defined as the closure ratio and can be calculated with Equation 3-3.
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𝐶𝑐𝑥 =∑(𝐴𝑐𝑜𝑙 + 𝐴𝑤𝑎𝑙𝑙) + 1.5𝐴𝑏𝑒𝑎𝑚
𝐵ℎ𝑠𝑥
Equation 3-3: Closure Ratio
Cd, the drag coefficient for the building, is determined from ASCE 7 Chapter 6 Table 6.10-
1, and is based on the width to inundation depth ratio.
3.4.2 Drag Force on Components
For designing components of the building, a design hydrodynamic drag force on
components was also used. The drag force, calculated with Equation 3-4, was applied as a
pressure on the projected inundated height of all structural components below the
inundation depth.
𝐹𝑑 =1
2𝜌𝑠𝐼𝑡𝑠𝑢𝐶𝑑𝑏(ℎ𝑒𝑢2)
Equation 3-4: Component Drag Force
For exterior components, debris accumulation was included with a Cd value of 2.0. For
interior components, ASCE 7 Chapter 6 Table 6.10-2 gives a Cd value of 2 for
square/rectangular columns.
3.4.3 Bore Loads on Vertical Structural Components
Where the flow at a site has a Froude number greater than 1.0, and the vertical
component width to inundation ratio is three or more, the foce on the wall is 50% larger
than the drag force and is given by Equation 3-5.
𝐹𝑤 =3
4𝜌𝑠𝐼𝑡𝑠𝑢𝐶𝑑𝑏(ℎ𝑒𝑢2)𝑏𝑜𝑟𝑒
Equation 3-5: Hydrodynamic Bore Load
Out of the three locations studied, the Waikiki and Hilo locations were determined to have
the potential for tsunami bores. Hilo was determined to have potential for tsunami bores
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due to recorded historical evidence of bores during a past tsunami. Waikiki was
determined to have potential for tsunami bores due to its fringing reef.
3.5 Debris Impact Loads
Structural components on the structure were also designed for debris impact loads.
Debris impact loads are caused by large debris (such as shipping containers and logs)
striking the component during a tsunami. Debris impact forces must be considered when
the minimum inundation depth is three feet or greater. Both static and dynamic analyses
can be performed to determine the debris impact on a component.
3.5.1 Alternative Simplified Debris Impact Static Load
The alternative simplified debris impact static load method from ASCE 7 Chapter 6
was used as the maximum static debris load on the components of the structure. The
simplified debris impact static load can be determined from Equation 3-6.
𝐹𝑖 = 330𝐶𝑜𝐼𝑡𝑠𝑢
Equation 3-6: Simplified Debris Impact Static Load
Co is the orientation coefficient and is equal to 0.65 in all cases. When the building site
is not in an impact zone for shipping containers, ships, and barges, the simplified debris
impact load from equation 3-6 can be reduced by 50%. It was assumed that the Hilo
location was in an impact zone for shipping containers. However, the Oahu and Monterey
locations were not in an impact zone for shipping containers. The alternative simplified
debris impact load controlled the debris loading for the Hilo and Waikiki locations.
3.5.2 Design Instantaneous Debris Impact Force
The design instantaneous debris impact force from ASCE 7 Chapter 6 was used to
determine the static debris load on components of the structure. The nominal
instantaneous debris impact force was determined from Equation 3-7.
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𝐹𝑛𝑖 = 𝑢𝑚𝑎𝑥(𝑘𝑚𝑑)0.5
Equation 3-7: Nominal Instantaneous Debris Impact Force
The design instantaneous debris impact force was determined from Equation 3-8.
𝐹𝑖 = 𝐼𝑡𝑠𝑢𝐶𝑜𝐹𝑛𝑖
Equation 3-8: Design Instantaneous Debris Impact Force
Co is the orientation coefficient and is equal to 0.65 in all cases. In Hilo and Waikiki,
equation 3-8 calculated debris impact forces which were greater than the value determined
with the simplified debris impact load equation, which acts as the maximum static debris
load for design. Therefore, the design instantaneous debris impact force was only used as
the controlling debris impact force for the Monterey location.
3.6 Importance Factors
The importance factors from ASCE 7 Chapter 6 Section 6.8.3.2, given in Table 3-1,
were considered when determining tsunami loads. For both the office and residential
buildings, Tsunami Risk Category II was assumed.
Table 3-2: Tsunami Importance Factors
Tsunami Risk Category ITSU
II 1.0
III 1.25
Tsunami Risk Category IV, Vertical Evacuation Refuges, and Tsunami Risk
Category III Critical Facilities 1.25
3.7 Load Combinations
The following load combinations from ASCE 7 Chapter 6 Section 6.8.3.3, given by
Equations 3-9 and 3-10, were considered when designing for tsunami loads.
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0.9D + FTSU + HTSU
Equation 3-9: Tsunami Load Combination 1
1.2D + FTSU + 0.5L + 0.2S + HTSU
Equation 3-10: Tsunami Load Combination 2
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Energy Grade Line Method 4
In order to determine the tsunami forces on the structures, the maximum tsunami
inundation depth and maximum tsunami flow velocity are required. The Energy Grade Line
Method is a stepwise procedure that can be used to determine the maximum inundation
depth and maximum flow velocity at any site between the shoreline and the inundation
limit. Starting from the runup elevation at the inundation limit, the flow parameters are
determined progressing shoreward to get the tsunami velocity and inundation depth at the
site of the building. The following are the steps that were taken for the Energy Grade Line
Method:
Runup and Inundation Limit values were obtained. For the Monterey building, a site
specific analysis was used to determine the Runup and Inundation Limit values.
For the Hilo and Waikiki locations, the Runup and Inundation Limit values were
obtained from maps created by Prof. Fai Cheung based on the Great Aleutian
Tsunami (Cheung).
The transect lines were approximated by a series of x-z grid coordinates of the
points, which create a series of segmented slopes. X is the horizontal distance
measured from the shoreline, and z is the topographic elevation. For each of the
locations of the buildings, transect lines were created for tsunami flow acting
perpendicular to the shoreline, flow acting 22.5 degrees clockwise from the
perpendicular line, and flow acting 22.5 degrees counterclockwise from the
perpendicular line. This allows for variation of the direction of the tsunami within a
45 degree envelope. See Figures 4-1, 4-2, and 4-3 for the transect lines for Hilo,
Oahu, and Monterey, respectively.
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Figure 4-1: Transect Lines for Hilo Building Location
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Figure 4-2: Transect Lines for Waikiki Building Location
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Figure 4-3: Transect Lines for Monterey Building Location
The topographic slope, ∅𝑖, of each segment, or pair of consecutive points, was
determined along the transect line. The topographic slope is calculated as the ratio
of elevation difference and distance between two adjacent points on the transect.
∅𝑖 =𝑧𝑖 − 𝑧𝑖+1
𝑥𝑖 − 𝑥𝑖+1
The Manning’s Coefficient, n, was determined based on the terrain along the
transect line. The Manning’s Coefficient can be obtained from the draft Chapter 6
Table 6.6-1. An n value of 0.03 was assumed for all three locations.
The Froude number, 𝐹𝑟𝑖, was calculated for each point along the transect. The
Froude number can be calculated with the draft Chapter 6 Equation 6.6.2-3.
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𝐹𝑟𝑖 =∝ (1 −𝑥
𝑥𝑅)
0.5
The hydraulic friction slope, 𝑠𝑖 was calculated the draft Chapter 6 Equation 6.6.2-2.
The calculation for the slope began at the runup point and progressed toward the
shoreline. At the runup point, a nominally small value of hi (0.1 feet) was used to
avoid a singularity.
𝑠𝑖 =𝑔𝐹𝑟𝑖
2
((1.49
𝑛 )2
ℎ𝑖1 3⁄
)
The hydraulic energy head, 𝐸𝑖+1, was calculated at successive points progressing
toward the shoreline.
𝐸𝑔,𝑖+1 = 𝐸𝑔,𝑖 + (∅𝑖 + 𝑠𝑖)∆𝑥𝑖
The inundation depth, ℎ𝑖+1, was determined at each point along the transect line.
ℎ𝑖+1 =𝐸𝑔,𝑖+1
(1 + 0.5𝐹𝑟𝑖2 )
The velocity of flow at each point was calculated. The equation for velocity is
derived from the equation for the Froude number.
𝑢𝑖+1 = 𝐹𝑟𝑖(𝑔ℎ)0.5
Section 6.6.1 states that flow velocity used in the tsunami load equations may not
be less than 10 ft/s but it need not be greater than 50 ft/s. The flow velocity and flow depth
were calculated for each point along the three transect lines for each location. See Figures
4-4 through 4-7 for the flow depths and flow velocities for Hilo and Waikiki along the
transect lines. The critical h and u values out of the three transect lines at the project site
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were chosen as the design hmax and umax values. From the Energy Grade Line Method
analysis, it was determined that the maximum inundation depths to be used for design at
the building locations in Hilo and Waikiki would be 55 feet and 25 feet, respectively. The
EGL method also determined that the maximum flow velocity to be used for design in Hilo
and Waikiki would be 35.8 ft/s and 28 ft/s, respectively.
Figure 4-4: Inundation Depths for Hilo Transect Lines
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Figure 4-5: Inundation Depths for Waikiki Transect Lines
Figure 4-6: Flow Velocities Based on Distance from Shoreline for Hilo Transect Lines
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Figure 4-7: Flow Velocities Based on Distance from Shoreline for Waikiki Transect Lines
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Design Loads for Prototype Buildings 5
5.1 Description of Prototype Buildings
For this project, two different types of reinforced concrete buildings with different
structural systems are to be analyzed. The two buildings are a six story office building and
a seven story residential building. Each of these prototype buildings are to be analyzed in
three locations: Hilo, Hawaii, Waikiki, Hawaii and Monterey, California.
The six story office building consists of moment resisting frames, a flat plate floor
system, and interior gravity load resisting columns. The Hilo and Monterey buildings have
perimeter and interior special moment frames, while the Waikiki building has perimeter
intermediate moment frames. The seven story residential building consists of shear walls
at elevators and stairwells, a flat plate floor system, and gravity load resisting columns.
The Hilo and Monterey buildings have special reinforced concrete shear walls, while the
Waikiki building has ordinary reinforced concrete shear walls.
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Figure 5-1: Prototype Office Building Plan and Elevation Views
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Figure 5-2: Prototype Residential Building Plan and Elevation Views
5.2 Dead Loads
5.2.1 Office Building Dead Loads
The following dimensions were used for the self-weight of the office building:
Building Plan Dimensions: 88’ x 254’
Assumed Interior Column Dimensions: 24” x 24”
Assumed Exterior Column Dimensions: 30” x 30”
Assumed Beam Dimensions: 24”x30”
Slab Thickness: 8”
The following gravity loads were assumed:
8” Slab: 100 psf
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Floor Finish/Tapered Roofing: 5 psf
Ceiling/Insulation: 5 psf
Mechanical, Electrical and Plumbing (MEP): 10 psf
Perimeter Window Wall: 10 psf x 12 ft = 120 plf (at each level except the roof)
Using these values, an assumed concrete unit weight of 150 pcf, and an assumed
25% sustained live load, a typical floor weight of 4202 kips and a roof weight of 4107 kips
was calculated. These values result in a total building seismic weight of approximately
25100 kips for the office building.
5.2.2 Residential Building Dead Loads
The following dimensions were used for the self-weight of the residential building:
Building Plan Dimensions: 64’ x 254’
Assumed Column Dimensions: 20” x 20”
Assumed Shear Wall Thickness: 10”
Slab Thickness: 8”
The following gravity loads were assumed:
8” Slab: 100 psf
Floor Finish/Tapered Roofing: 10 psf (typical floor), or 5 psf (roof)
Ceiling/Insulation: 8 psf
Mechanical, Electrical and Plumbing (MEP): 10 psf
Perimeter Window Wall: 10 psf x 12 ft = 120 plf (at each level except the roof)
Using these values, an assumed concrete unit weight of 150 pcf, and an assumed
25% sustained live load, a typical floor weight of 2771 kips and a roof weight of 2999 kips
was calculated. These values result in a total weight of approximately 19600 kips for the
residential building.
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5.3 Live Loads
5.3.1 Office Building Live Loads
The following live loads were assumed for the office building based on Table 4-1 of
ASCE 7-10:
Corridors: 80 psf
Offices: 50 psf
Stairs: 100 psf
Partitions: 15 psf
Roof: 20 psf
It was assumed that the corridor is 10 feet wide down the long direction center line of
each floor.
5.3.2 Residential Building Live Loads
The following live loads were assumed for the residential building based on Table 4-1
of ASCE 7-10:
Typical Floor Area: 40 psf
Stairs: 100 psf
Partitions: 15 psf
Roof: 20 psf
Live load reductions were taken using ASCE 7-10 Section 4.8, which allows up to a
60% reduction in live load for members supporting two or more floors. Live load reductions
were taken into account for the design of the columns and shear walls.
5.4 Wind Loads
5.4.1 Notation
V – Effective wind speed, from ASCE 7-10 Figure 26.5-1 (mph)
I – Importance factor, from ASCE 7-10
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Z – Height above ground level (ft)
𝐾𝑑 – Wind directionality factor, from the Hawaii State Building Code Amendments
𝐾𝑧 – Velocity pressure exposure coefficient evaluated at height Z, from ASCE 7-10
Table 27.3-1
𝐾ℎ – Velocity pressure exposure coefficient evaluated at height Z=h, from ASCE 7-
10 Table 27.3-1
𝐾𝑧𝑡 – Topographic Factor from the Hawaii State Building Code Amendments
G – Gust effect factor, from ASCE 7-10 Section 26.9
𝐶𝑝 – External pressure coefficient, from ASCE 7-10 Figure 27.4-1
𝐶𝑝𝑖 – Internal pressure coefficient, from ASCE 7-10 Figure 27.4-1
𝑞𝑧 – Velocity pressure evaluated at height Z (psf)
𝑞ℎ – Velocity pressure evaluated at height Z=h (psf)
P – Design wind pressure (psf)
𝑃𝑊 – Design wind pressure acting on windward face (psf)
𝑃𝐿 – Design wind pressure acting on leeward face (psf)
5.4.2 Design Assumptions
– The Directional Procedure from ASCE 7-10 Chapter 27 was used for
determination of wind loads.
– Based on Figure 26.5-1, V=130 miles per hour for Hawaii.
– The importance factor = 1.0 for residential and office buildings.
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– Both the reinforced concrete office building and residential buildings are assumed
to be rigid structures, resulting in G=0.85 from ASCE 7-10 Section 26.9.
– According to ASCE 7-10 Figure 27.4-1, the external pressure coefficient Cp for
the windward wall is 0.8, while the external pressure coefficient Cp for the leeward
wall is -0.5 for north-south winds, and -0.256 for east-west winds.
5.4.3 Wind Loads – Hilo, Hawaii
A) Office Building
Table 5-1 gives the wind loads determined for the Office Building located in Hilo.
Table 5-1: Wind Loads for Hilo Office Building
B) Residential Building
Table 5-2 gives the wind loads determined for the Residential Building located in Hilo.
Pw (psf) PL (psf) P (psf) Fstory (k) Pw (psf) PL (psf) P (psf) Fstory (k)
6 74 22.1 -13.8 35.8 54.6 22.1 -7.1 29.1 15.4
5 62 21.1 -13.8 34.9 107.8 21.1 -7.1 28.2 30.3
4 50 20.2 -13.8 34.0 105.0 20.2 -7.1 27.3 29.3
3 38 19.1 -13.8 32.9 101.9 19.1 -7.1 26.1 28.2
2 26 17.6 -13.8 31.4 97.9 17.6 -7.1 24.7 26.8
1 14 15.8 -13.8 29.5 100.4 15.8 -7.1 22.8 27.1
Base 585.9 171.1
NS Direction EW DirectionFloor Z (ft)
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Table 5-2: Wind Loads for Hilo Residential Building
5.4.4 Wind Loads – Waikiki, Hawaii
A) Office Building
Table 5-3 gives the wind loads determined for the Office Building located in Waikiki.
Table 5-3: Wind Loads for Waikiki Office Building
B) Residential Building
Table 5-4 gives the wind loads determined for the Residential Building located in Waikiki.
Pw (psf) PL (psf) P (psf) Fstory (k) Pw (psf) PL (psf) P (psf) Fstory (k)
7 66 21.3 -13.3 34.6 39.6 21.3 -5.3 26.6 7.7
6 57 20.8 -13.3 34.1 78.5 20.8 -5.3 26.1 15.2
5 48 20.0 -13.3 33.3 77.1 20.0 -5.3 25.3 14.8
4 39 19.1 -13.3 32.4 75.2 19.1 -5.3 24.4 14.3
3 30 18.2 -13.3 31.5 73.0 18.2 -5.3 23.5 13.8
2 21 16.9 -13.3 30.2 70.5 16.9 -5.3 22.2 13.2
1 12 15.8 -13.3 29.1 78.8 15.8 -5.3 21.1 14.5
Base 537.0 101.5
Floor Z (ft)NS Direction EW Direction
Pw (psf) PL (psf) P (psf) Fstory (k) Pw (psf) PL (psf) P (psf) Fstory (k)
6 74 27.0 -16.8 43.8 66.8 27.0 -8.6 35.6 18.8
5 62 25.8 -16.8 42.7 131.8 25.8 -8.6 34.5 37.0
4 50 24.7 -16.8 41.5 128.3 24.7 -8.6 33.3 35.8
3 38 23.3 -16.8 40.2 124.5 23.3 -8.6 32.0 34.5
2 26 21.5 -16.8 38.4 119.7 21.5 -8.6 30.1 32.8
1 14 19.3 -16.8 36.1 122.7 19.3 -8.6 27.9 33.1
Base 716.0 209.1
NS Direction EW DirectionFloor Z (ft)
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Table 5-4: Wind Loads for Waikiki Residential Building
5.4.5 Wind Loads – Monterey, California
A) Office Building
Table 5-5 gives the wind loads determined for the Office Building located in Monterey.
Table 5-5: Wind Loads for Monterey Office Building
B) Residential Building
Table 5-6 gives the wind loads determined for the Residential Building located in
Monterey.
Pw (psf) PL (psf) P (psf) Fstory (k) Pw (psf) PL (psf) P (psf) Fstory (k)
7 66 26.1 -16.3 42.3 48.4 26.1 -6.5 32.6 9.4
6 57 25.4 -16.3 41.7 96.0 25.4 -6.5 31.9 18.6
5 48 24.5 -16.3 40.7 94.2 24.5 -6.5 31.0 18.1
4 39 23.3 -16.3 39.6 91.9 23.3 -6.5 29.8 17.5
3 30 22.2 -16.3 38.5 89.3 22.2 -6.5 28.7 16.9
2 21 20.6 -16.3 36.9 86.2 20.6 -6.5 27.1 16.1
1 12 19.3 -16.3 35.5 96.3 19.3 -6.5 25.8 17.7
Base 656.3 124.1
Floor Z (ft)NS Direction EW Direction
Pw (psf) PL (psf) P (psf) Fstory (k) Pw (psf) PL (psf) P (psf) Fstory (k)
6 74 21.3 -13.3 34.6 52.8 21.3 -6.8 28.1 14.8
5 62 20.4 -13.3 33.7 104.2 20.4 -6.8 27.2 29.2
4 50 19.5 -13.3 32.8 101.4 19.5 -6.8 26.3 28.3
3 38 18.4 -13.3 31.8 98.4 18.4 -6.8 25.3 27.2
2 26 17.0 -13.3 30.3 94.6 17.0 -6.8 23.8 25.9
1 14 15.2 -13.3 28.5 97.0 15.2 -6.8 22.0 26.2
Base 565.9 165.2
NS Direction EW DirectionFloor Z (ft)
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Table 5-6: Wind Loads for Monterey Residential Building
5.5 Seismic Loads
To determine the design seismic loads, the Equivalent Lateral Force Procedure from
ASCE 7-10 Section 12.8 was used. All seismic design coefficients for the respective sites
were obtained from the USGS online seismic design tool. Occupancy Category II was
assumed for all sites. Seismic design provisions for Soil Type B and D were obtained to
compare seismic designs for both poor soil and good soil conditions.
5.5.1 Notation
𝑆𝑆 – 0.2 second response acceleration
𝑆1 – 1.0 second response acceleration
𝑆𝐷𝑆 – Design spectral acceleration parameter based on SS
𝑆𝐷1 – Design spectral acceleration parameter based on S1
𝐹𝑎 – Site coefficient based on SS
𝐹𝑉 – Site coefficient based on S1
I – Importance factor, from ASCE 7-10 Table 11.5-1
𝐶𝑆 – Seismic response coefficient, from ASCE 7-10 Section 12.8.1.1
Pw (psf) PL (psf) P (psf) Fstory (k) Pw (psf) PL (psf) P (psf) Fstory (k)
7 66 20.6 -12.9 33.5 38.2 20.6 -5.1 25.7 7.4
6 57 20.1 -12.9 32.9 75.9 20.1 -5.1 25.2 14.7
5 48 19.3 -12.9 32.2 74.4 19.3 -5.1 24.5 14.3
4 39 18.4 -12.9 31.3 72.6 18.4 -5.1 23.6 13.8
3 30 17.5 -12.9 30.4 70.6 17.5 -5.1 22.7 13.3
2 21 16.3 -12.9 29.2 68.1 16.3 -5.1 21.4 12.7
1 12 15.2 -12.9 28.1 76.1 15.2 -5.1 20.4 14.0
Base 518.7 98.1
Floor ZNS Direction EW Direction
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𝑇𝑎 – Approximate fundamental period, from ASCE 7-10 Section 12.8.2.1
R – Response modification factor, from ASCE 7-10 Table 12.2-1
SDC – Seismic Design Category, from ASCE 7-10 Section 11.6
W – Seismic dead weight (kips)
V – Seismic base shear (kips)
Table 5-7: Moment Frame Building Seismic Design Criteria
Table 5-8: Shear Wall Building Seismic Design Criteria
5.5.2 Seismic Load Distribution
Using the Equivalent Lateral Force Procedure, the base shears of the respective
buildings were obtained and distributed throughout the floors of the buildings. After
completing both the seismic and wind load analysis, it was determined that the seismic
loading would control the lateral force demand for all buildings and locations.
Location Soil Type SDC Ss SDS S1 SD1 Ta (s) R Cs
Hilo - Special MF B D 1.5 1 0.6 0.4 0.77 8 0.065
Hilo - Special MF D D 1.5 1 0.6 0.6 0.77 8 0.097
Monterey - Special MF B D 1.513 1.009 0.554 0.369 0.77 8 0.06
Monterey - Special MF D D 1.513 1.009 0.554 0.554 0.77 8 0.09
Oahu - Intermediate MF B C 0.579 0.386 0.17 0.113 0.77 5 0.029
Oahu - Intermediate MF D C 0.579 0.516 0.17 0.24 0.77 5 0.062
Office Moment Frame Building Seismic Design Criteria
Location Soil Type SDC Ss SDS S1 SD1 Ta (s) R Cs
Hilo - Special SW B D 1.5 1 0.6 0.4 0.463 6 0.144
Hilo - Special SW D D 1.5 1 0.6 0.6 0.463 6 0.167
Monterey - Special SW B D 1.513 1.009 0.554 0.369 0.463 6 0.133
Monterey - Special SW D D 1.513 1.009 0.554 0.554 0.463 6 0.168
Oahu - Ordinary SW B C 0.579 0.386 0.17 0.113 0.463 5 0.049
Oahu - Ordinary SW D C 0.579 0.516 0.17 0.24 0.463 5 0.103
Residential Shear Wall Building Seismic Design Criteria
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Table 5-9: Moment Frame Building Seismic Loads – Soil D
Table 5-10: Moment Frame Building Seismic Loads – Soil B
Table 5-11: Shear Wall Building Seismic Loads – Soil D
Level Wx (k) hx (ft) hxk (ft) wxhx
k (ft-k) CvxFxHILO (k) FxWAIKIKI (k) FxMONTEREY (k)
Roof 3993 74 132.306 528336 0.284 692 445 642
5 4216 62 108.234 456359 0.246 598 384 555
4 4216 50 84.787 357497 0.192 468 301 435
3 4216 38 62.095 261816 0.141 343 220 318
2 4216 26 40.364 170191 0.092 223 143 207
1 4216 14 19.992 84294 0.045 110 71 102
SUM 25075 1858493 1 2435 1565 2259
Level Wx (k) hx (ft) hxk (ft) wxhx
k (ft-k) CvxFxHILO (k) FxWAIKIKI (k) FxMONTEREY (k)
Roof 3993 74 132.3055 528336 0.284 463 209 428
5 4216 62 108.2342 456359 0.246 400 181 369
4 4216 50 84.78733 357497 0.192 314 142 289
3 4216 38 62.09468 261816 0.141 230 104 212
2 4216 26 40.36405 170191 0.092 149 67 138
1 4216 14 19.99196 84294 0.045 74 33 68
SUM 25075 1858493 1 1630 737 1504
Level Wx (k) hx (ft) hxk (ft) wxhx
k (ft-k) CvxFxHILO (k) FxWAIKIKI (k) FxMONTEREY (k)
Roof 2788 66 66 184021 0.240 787 486 792
6 2808 57 57 160028 0.209 685 423 689
5 2808 48 48 134760 0.176 576 356 580
4 2808 39 39 109493 0.143 468 289 471
3 2808 30 30 84225 0.110 360 223 362
2 2808 21 21 58958 0.077 252 156 254
1 2808 12 12 33690 0.044 144 89 145
SUM 19633 765174 1 3273 2023 3293
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Table 5-12: Shear Wall Building Seismic Loads – Soil B
Level Wx (k) hx (ft) hxk (ft) wxhx
k (ft-k) CvxFxHILO (k) FxWAIKIKI (k) FxMONTEREY (k)
Roof 2788 66 66 184021 0.240 678 230 626
6 2808 57 57 160028 0.209 590 200 544
5 2808 48 48 134760 0.176 497 168 458
4 2808 39 39 109493 0.143 404 137 372
3 2808 30 30 84225 0.110 311 105 287
2 2808 21 21 58958 0.077 217 74 201
1 2808 12 12 33690 0.044 124 42 115
SUM 19633 765174 1 2821 956 2603
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Prototype Building Final Designs 6
6.1 ETABS Drift Analysis
ETABS was used to determine the final design dimensions the lateral force resisting
members of both the moment frame and shear wall buildings (Fig 6-1 and 6-2). The lateral
loads were applied to the buildings to determine the drift of the structure. The member
sizes were then optimized by comparing the inelastic story drift values to the seismic
allowable story drift calculated using ASCE 7-10 Table 12.12-1.
A lateral drift limit of H/400 was also checked for the lateral displacement at the roof of
the structure when subjected to wind loads. For this case, elastic cracked section
properties based on ACI 318-11 Section 10.10.4.1 were used. In order to model elastic
cracked section properties, a modification factor of 0.7 was applied to the flexural stiffness
of the columns and walls and a modification factor of 0.35 was applied to the flexural
stiffness of the beams.
From this analysis, the special moment frame building required 28” square columns
with 30” wide by 24” deep beams. Moment frames are provided on the perimeter of the
special moment frame building with two additional moment frames spanning in the short
direction in the interior of the building. The intermediate moment frame building required
20” square columns with 20” wide by 26” deep beams. The special shear wall buildings
were determined to have 10” thick shear walls. Although the drift analyses determined that
thinner walls could be permitted for the ordinary shear wall buildings, walls thinner than 10”
were deemed not to be practical.
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Figure 6-1: ETABS Model of Special Moment Frame Building with Hilo Soil D Seismic Loads
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Figure 6-2: ETABS Model of Special Shear Wall Building with Hilo Soil D Seismic Loads
6.1.1 Special Moment Frame Office Building Design
For the design of the special reinforced concrete moment frame, provisions of ACI
Chapter 21 were used. Controlling shear and moment values obtained from the ETABS
analysis for seismic loading were combined with gravity shear and moment values using
the appropriate load combinations.
For the purposes of this project, two typical special moment frame beam designs were
performed: a typical 28’ beam design and a typical 10’ beam design. The 28’ beam design
was chosen because of its likelihood to control flexural reinforcing design. Likewise, the 10’
beam was chosen because it was assumed that the shortest beam would control shear
design for the special moment frame. These assumptions proved to be correct for the
special moment frame design. One typical column was designed for the special reinforced
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moment frame. PCA Column was used to assist in the design of the column longitudinal
reinforcing. Tables 6-1 through 6-4 show the flexural and shear reinforcing for the beams
and Tables 6-5 and 6-7 show the reinforcing of the column.
6.1.2 Intermediate Moment Frame Office Building Design
For the ordinary reinforced concrete moment frame, simple beam and column design
was performed. Controlling values for both shear and moment were obtained from the
Oahu ETABS model to create a typical beam and column design. PCA Column was used
to assist in the design of the longitudinal reinforcing of the column. See Tables 6-1 through
6-4 for the flexural and shear reinforcing for the beams and Tables 6-6 and 6-8 for the
reinforcing of the column.
6.2 Office Building
Tables 6-1 through 6-4 display the flexural and shear reinforcing designs of typical
beam sections for the office building. Tables 6-5 through 6-9 display the reinforcing
designs of typical columns for the office building.
The seismic force values of both the Hilo and Monterey building were very similar, with
the Hilo moment frame building having slightly larger seismic forces. Therefore, it was
determined that all special moment frame calculations would use the values obtained from
the Hilo seismic load calculations. Due to the similarity of forces between the two cases,
two different special moment frame designs were not necessary. The intermediate moment
frame building was designed using the Waikiki seismic loads.
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Table 6-1: Flexural Reinforcing of Typical Beam Sections – Soil D
Table 6-2: Shear Reinforcing of Typical Beam Sections – Soil D
Table 6-3: Flexural Reinforcing of Typical Beam Sections – Soil B
Table 6-4: Shear Reinforcing of Typical Beam Sections – Soil B
Table 6-5: Reinforcing of Typical Special MRF Column Sections – Soil D
Beam Type Length Width Height Midspan Reinf (bot) Midspan Reinf (top) End Reinf. (bot) End Reinf. (top)
Special MRF 28' 30" 24" (2) #10's (2) #10's (5) #10's (5) #10's
Special MRF 10' 30" 24" (2) #10's (2) #10's (4) #10's (4) #10's
Intermediate MRF 28' 24" 28" (3) #8's (2) #10's (2) #8's (5) #10's
Intermediate MRF 10' 24" 28" (2) #10's (2) #10's (2) #10's (3) #10's
MRF BEAM FLEXURAL REINFORCING - SOIL D
Beam Type Length Width Height Shear Reinf. (mid) Shear Reinf. (end)
Special MRF 28' 30" 24" (2) #3 legs @ 5" (3) #4 legs @ 5"
Special MRF 10' 30" 24" (4) #4 legs @ 4" (4) #4 legs @ 4"
Intermediate MRF 28' 24" 28" (2) #3 legs @ 8" (2) #3 legs @ 6"
Intermediate MRF 10' 24" 28" (2) #3 legs @ 6" (2) #3 legs @ 6"
MRF BEAM SHEAR REINFORCING - SOIL D
Beam Type Length Width Height Midspan Reinf (bot) Midspan Reinf (top) End Reinf. (bot) End Reinf. (top)
Special MRF 28' 26" 22" (2) #10's (2) #10's (5) #10's (5) #10's
Special MRF 10' 26" 22" (2) #9's (2) #9's (4) #9's (4) #9's
Intermediate MRF 28' 20" 26" (2) #9's (2) #9's (2) #9's (5) #9's
Intermediate MRF 10' 20" 26" (2) #8's (2) #8's (2) #8's (2) #8's
MRF BEAM FLEXURAL REINFORCING - SOIL B
Beam Type Length Width Height Shear Reinf. (mid) Shear Reinf. (end)
Special MRF 28' 26" 22" (2) #3 legs @ 5" (3) #4 legs @ 4"
Special MRF 10' 26" 22" (4) #4 legs @ 4" (4) #4 legs @ 4"
Intermediate MRF 28' 20" 26" (2) #3 legs @ 8" (2) #3 legs @ 5"
Intermediate MRF 10' 20" 26" (2) #3 legs @ 5" (2) #3 legs @ 5"
MRF BEAM SHEAR REINFORCING - SOIL B
Floor Height Size Longitudinal Reinf. Boundary Reinf. Shear Reinf.
1 14' 28"x28" (8) #10's (3) #4 legs @ 4" (2) #3 legs @ 6"
Rem. Floors 12' 28"x28" (8) #9's (3) #4 legs @ 4" (2) #3 legs @ 6"
SPECIAL MRF COLUMNS SOIL D
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Table 6-6: Reinforcing of Typical Intermediate MRF Column Sections – Soil D
Table 6-7: Reinforcing of Typical Special MRF Column Sections – Soil B
Table 6-8: Reinforcing of Typical Intermediate MRF Column Sections – Soil B
Table 6-9: Reinforcing of Typical Office Building Gravity Columns
6.3 Residential Building
6.3.1 Hilo Residential Building Design
Tables 6-10 and 6-11 display the flexural and shear reinforcing details of typical
elevator shear wall sections for the residential building. All shear walls for each building
have a thickness of 10”.
The seismic force values of both the Hilo and Monterey building were again very
similar, with the Monterey moment frame building having slightly larger seismic forces for
Soil D, and the Hilo shear wall building having slightly larger seismic forces for Soil B. The
Floor Height Size Longitudinal Reinf. Boundary Reinf. Shear Reinf.
1 14' 24"x24" (8) #8's (2) #3 legs @ 9" (2) #3 legs @ 14"
Rem. Floors 12' 24"x24" (8) #8's (2) #3 legs @ 9" (2) #3 legs @ 14"
INTERMEDIATE MRF COLUMNS SOIL D
Floor Height Size Longitudinal Reinf. Boundary Reinf. Shear Reinf.
1 14' 24"x24" (8) #8's (3) #4 legs @ 4" (2) #3 legs @ 6"
Rem. Floors 12' 24"x24" (8) #8's (3) #4 legs @ 4" (2) #3 legs @ 6"
SPECIAL MRF COLUMNS SOIL B
Column Type Height Size Longitudinal Reinf. Boundary Reinf. Shear Reinf.
1 14' 20"x20" (8) #7's (2) #3 legs @ 9" (2) #3 legs @ 18"
Rem. Floors 12' 20"x20" (8) #7's (2) #3 legs @ 9" (2) #3 legs @ 18"
INTERMEDIATE MRF COLUMNS SOIL B
Floor Height Size Longitudinal Reinf. Boundary Reinf. Shear Reinf.
1 14' 24"x24" (8) #7's (3) #4 legs @ 4" (3) #3 legs @ 5"
Rem. Floors 12' 24"x24" (8) #7's (3) #4 legs @ 4" (3) #3 legs @ 5"
GRAVITY COLUMNS - ALL OFFICE BUILDINGS
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soil D special shear wall building was designed with the Monterey loads, and the soil B
special shear wall building was designed with the Hilo loads. Due to the similarity of forces
between the two cases, two different special moment frame designs were not necessary.
The ordinary shear wall buildings were designed using the Waikiki seismic loads.
6.3.2 Hilo Residential Building Design
Table 6-10: Reinforcing of Typical Special Elevator Shear Walls – Soil D
Table 6-11: Reinforcing of Typical Ordinary Elevator Shear Walls – Soil D
Wall Type Portion Length Vert. Reinf. Horiz. Reinf. Boundary Vert. Reinf. Ties Required
1st Floor Flange 132" #8's @ 18" E.F. #6's @9" E.F. (16) #10's Y
1st Floor Web 336" #8's @ 18" E.F. #6's @9" E.F. (4) #8's Y
2nd Floor Flange 132" #7's @ 18" E.F. #6's @9" E.F. (10) #9's Y
2nd Floor Web 336" #7's @ 18" E.F. #6's @9" E.F. (4) #7's Y
Rem. Floors Flange 132" #6's @ 18" E.F. #6's @9" E.F. (10) #7's N
Rem. Floors Web 336" #6's @ 18" E.F. #6's @9" E.F. (4) #6's N
SPECIAL ELEVATOR SHEAR WALLS - SOIL D
Wall Type Portion Length Vert. Reinf. Horiz. Reinf. Boundary Vert. Reinf. Ties Required
1st Floor Flange 132" #8's @ 18" E.F. #5's @12" E.F. (16) #8's Y
1st Floor Web 336" #8's @ 18" E.F. #5's @12" E.F. (4) #8's Y
2nd Floor Flange 132" #7's @ 18" E.F. #5's @12" E.F. (10) #7's N
2nd Floor Web 336" #7's @ 18" E.F. #5's @12" E.F. (4) #7's N
Rem. Floors Flange 132" #6's @ 18" E.F. #5's @12" E.F. (10) #6's N
Rem. Floors Web 336" #6's @ 18" E.F. #5's @12" E.F. (4) #6's N
ORDINARY ELEVATOR SHEAR WALLS - SOIL D
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Table 6-12: Reinforcing of Typical Special Stairwell Shear Walls – Soil D
Table 6-13: Reinforcing of Typical Ordinary Stairwell Shear Walls – Soil D
Table 6-14: Reinforcing of Typical Special Elevator Shear Walls – Soil B
Wall Type Portion Length Vert. Reinf. Horiz. Reinf. Boundary Vert. Reinf. Ties Required
1st Floor Flange 120" #9's @ 12" E.F. #7's @9" E.F. (8) #10's Y
1st Floor Web 192" #9's @ 18" E.F. #7's @9" E.F. (12) #10's Y
1st Floor Door Wall 146" #9's @ 18" E.F. #7's @9" E.F. (8) #10's Y
2nd Floor Flange 120" #9's @ 18" E.F. #7's @9" E.F. (6) #10's Y
2nd Floor Web 192" #9's @ 18" E.F. #7's @9" E.F. (8) #10's Y
2nd Floor Door Wall 146" #9's @ 18" E.F. #7's @9" E.F. (6) #10's Y
3rd Floor Flange 120" #8's @ 18" E.F. #7's @9" E.F. (4) #10's Y
3rd Floor Web 192" #8's @ 18" E.F. #7's @9" E.F. (4) #10's Y
3rd Floor Door Wall 146" #8's @ 18" E.F. #7's @9" E.F. (4) #10's Y
4th Floor Flange 120" #7's @ 18" E.F. #7's @9" E.F. (4) #7's N
4th Floor Web 192" #7's @ 18" E.F. #7's @9" E.F. (4) #7's N
4th Floor Door Wall 146" #7's @ 18" E.F. #7's @9" E.F. (4) #7's N
Rem. Floors Flange 120" #6's @ 18" E.F. #7's @9" E.F. (4) #6's N
Rem. Floors Web 192" #6's @ 18" E.F. #7's @9" E.F. (4) #6's N
Rem. Floors Door Wall 146" #6's @ 18" E.F. #7's @9" E.F. (4) #6's N
SPECIAL STAIRWELL SHEAR WALLS - SOIL D
Wall Type Portion Length Vert. Reinf. Horiz. Reinf. Boundary Vert. Reinf. Ties Required
1st Floor Flange 120" #7's @ 18" E.F. #6's @12" E.F. (4) #7's N
1st Floor Web 192" #7's @ 18" E.F. #6's @12" E.F. (4) #7's N
1st Floor Door Wall 146" #7's @ 18" E.F. #6's @12" E.F. (4) #7's N
Rem. Floors Flange 120" #6's @ 18" E.F. #6's @12" E.F. (4) #6's N
Rem. Floors Web 192" #6's @ 18" E.F. #6's @12" E.F. (4) #6's N
Rem. Floors Door Wall 146" #6's @ 18" E.F. #6's @12" E.F. (4) #6's N
ORDINARY STAIRWELL SHEAR WALLS - SOIL D
Wall Type Portion Length Vert. Reinf. Horiz. Reinf. Boundary Vert. Reinf. Ties Required
1st Floor Flange 132" #7's @ 18" E.F. #5's @8" E.F. (10) #10's Y
1st Floor Web 336" #7's @ 18" E.F. #5's @8" E.F. (4) #7's Y
2nd Floor Flange 132" #6's @ 18" E.F. #5's @8" E.F. (10) #8's N
2nd Floor Web 336" #6's @ 18" E.F. #5's @8" E.F. (4) #6's N
Rem. Floors Flange 132" #6's @ 18" E.F. #5's @8" E.F. (10) #7's N
Rem. Floors Web 336" #6's @ 18" E.F. #5's @8" E.F. (4) #6's N
SPECIAL ELEVATOR SHEAR WALLS - SOIL B
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Table 6-15: Reinforcing of Typical Ordinary Elevator Shear Walls – Soil B
Table 6-16: Reinforcing of Typical Special Stairwell Shear Walls – Soil B
Table 6-17: Reinforcing of Typical Ordinary Stairwell Shear Walls – Soil B
Table 6-18: Reinforcing of Typical Residential Building Gravity Columns
Wall Type Portion Length Vert. Reinf. Horiz. Reinf. Boundary Vert. Reinf. Ties Required
All Floors Flange 132" #6's @ 18" E.F. #4's @18" E.F. (10) #6's N
All Floors Web 336" #6's @ 18" E.F. #4's @18" E.F. (4) #6's N
ORDINARY ELEVATOR SHEAR WALLS - SOIL B
Wall Type Portion Length Vert. Reinf. Horiz. Reinf. Boundary Vert. Reinf. Ties Required
1st Floor Flange 120" #9's @ 18" E.F. #6's @8" E.F. (8) #10's Y
1st Floor Web 192" #9's @ 18" E.F. #6's @8" E.F. (12) #10's Y
1st Floor Door Wall 146" #9's @ 18" E.F. #6's @8" E.F. (8) #10's Y
2nd Floor Flange 120" #9's @ 18" E.F. #6's @8" E.F. (4) #10's Y
2nd Floor Web 192" #9's @ 18" E.F. #6's @8" E.F. (4) #10's Y
2nd Floor Door Wall 146" #9's @ 18" E.F. #6's @8" E.F. (4) #10's Y
3rd Floor Flange 120" #8's @ 18" E.F. #6's @8" E.F. (4) #8's N
3rd Floor Web 192" #8's @ 18" E.F. #6's @8" E.F. (4) #8's N
3rd Floor Door Wall 146" #8's @ 18" E.F. #6's @8" E.F. (4) #8's N
Rem. Floors Flange 120" #6's @ 18" E.F. #6's @8" E.F. (4) #6's N
Rem. Floors Web 192" #6's @ 18" E.F. #6's @8" E.F. (4) #6's N
Rem. Floors Door Wall 146" #6's @ 18" E.F. #6's @8" E.F. (4) #6's N
SPECIAL STAIRWELL SHEAR WALLS - SOIL B
Wall Type Portion Length Vert. Reinf. Horiz. Reinf. Boundary Vert. Reinf. Ties Required
All Floors Flange 120" #6's @ 18" E.F. #4's @18" E.F. (4) #6's N
All Floors Web 192" #6's @ 18" E.F. #4's @18" E.F. (4) #6's N
All Floors Door Wall 146" #6's @ 18" E.F. #4's @18" E.F. (4) #6's N
ORDINARY STAIRWELL SHEAR WALLS - SOIL B
Floor Height Size Longitudinal Reinf. Boundary Reinf. Shear Reinf.
1st Floor 12' 20"x20" (8) #7's (3) #4 legs @ 4" (3) #3 legs @ 5"
Rem. Floors 9' 20"x20" (8) #7's (3) #4 legs @ 4" (3) #3 legs @ 5"
GRAVITY COLUMNS - ALL RESIDENTIAL BUILDINGS
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Tsunami Design Loads 7
The lateral force resisting system of the building must be designed to resist
hydrodynamic tsunami drag forces at each level, hydrodynamic drag component loads,
and debris impact loads. From the Energy Grade Line Method analysis, it was determined
that the maximum inundation depths to be used for design in Hilo and Waikiki would be 55
feet and 25 feet, respectively. The EGL method also determined that the maximum flow
velocity to be used for design in Hilo and Waikiki would be 35.8 ft/s and 28 ft/s,
respectively. With these maximum inundation depth and velocity values, the lateral
tsunami loads for each building were calculated for each of the three load cases.
Component loads were also calculated for the columns and walls of each of the buildings.
See Table 7-1 for a summary of the design loads.
7.1 Overall Building Drag Force
The overall tsunami building drag force was determined for the office and residential
buildings for the Hilo, Waikiki, and Monterey locations using Equation 3-2. This force was
then compared with the base shear due to seismic forces.
Section 6.8.3.4 of ASCE 7 Chapter 6 allows the overall building drag force to be
compared to the Horizontal Seismic Load Effect, Emh. If Fd > Emh, the overall building drag
force must be considered for the structural design. The Horizontal Seismic Load Effect,
Emh, includes 75 percent of the system’s Overstrength Factor, Ω0, for Seismic Design
Category D, E, or F for the life safety performance level and is given by Equation 7-1. This
provision applied to the buildings at Monterey and Hilo, which had Seismic Design
Category D.
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𝐸𝑚ℎ = 0.75Ω𝑜𝐸ℎ
Equation 7-1: Horizontal Seismic Load Effect Including Overstrength Factor
Table 7-1: Tsunami Loading Summary
Office Building Residential Building
Flow Parameters Hilo Waikiki Monterey Hilo Waikiki Monterey
Max. Inundation Depth, hmax (ft) 55 25 13 55 25 13
Max. Flow Velocity, umax (fps) 35.8 28 18 35.8 28 18
Overall Building Lateral Loading
(kips)
Load Case 1 1047 874 974 1429 1554 974
Load Case 2 11490 3297 769 11490 3297 769
Load Case 3 1947 424 119 1915 424 119
Hydrodynamic Drag
Component Loading
Exterior Column Hydrodynamic
Drag (kips/ft)
55.3 33.8 14.0 55.3 33.8 14.0
Interior Column Hydrodynamic
Drag (kips/ft)
5.6 3.45 1.4 4.7 2.9 1.2
Exterior Wall Hydrodynamic
Drag (kips/ft)
- - - 79.0 48.3 27.9
Interior Wall Hydrodynamic
Drag (kips/ft)
- - - 28.2 17.2 7.1
Exterior Wall Bore Force
(kips/ft)
- - - 50.1 53.2 -
Debris Loading
Ext. Column Debris Impact (kips) 214.5 107.3 102.8 214.5 107.3 102.8
Ext. Wall Debris Impact (kips) - - - 214.5 107.3 102.8
For Seismic Design Category A, B and C, the value of the seismic base shear must be
directly compared to the overall building drag force. When comparing the tsunami loads to
the seismic loads of each building, it was determined that the base shear due to tsunami
loading was larger than the seismic base shear values at the Hilo and Waikiki locations.
Therefore, overall building drag force had to be considered to redesign the members of the
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buildings in Hilo and Waikiki. In the Hilo and Waikiki locations, Load Case 2 controlled the
overall building drag force. In Monterey, Load Case 1 controlled the overall building drag
force.
7.2 Component Drag Force
7.2.1 Drag Force on Components
The component hydrodynamic drag force was computed for components of each
building. For the office building, the hydrodynamic component drag was calculated for the
exterior moment frame columns and the interior gravity columns. Exterior columns
experience increased drag due to debris blockage. Therefore, b was taken as the tributary
width of the column multiplied by a closure ratio value of 0.7. For the residential building,
the hydrodynamic drag was calculated for the broad side (web) of the elevator shear wall,
the narrow side (flange) of the stairwell shear wall and the interior and exterior gravity
columns.
7.2.2 Bore Loads on Vertical Structural Components
The bore hydrodynamic load was calculated for the exterior facing elevator shear walls
in the Waikiki residential building, due to the fringing reefs in Waikiki. In areas where bores
are possible, the bore force must be calculated for vertical components with a width to
inundation depth ratio of three or more. Therefore, the bore load on the elevator shear wall
was calculated for an inundation depth of 9.33 feet (1/3 of the elevator wall width or 28
feet).
7.3 Debris Impact Loads
The debris impact loads were calculated for design of components in each building.
Because of their location away from shipping ports, the Waikiki and Monterey building sites
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were not in impact zones for shipping containers. Therefore, only logs were considered
using the simplified debris impact load from equation 3-6 reduced by 50%.
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Tsunami Building Designs 8
8.1 Office Building Tsunami Designs
8.1.1 Moment Frame Analysis
ETABS was used to apply the tsunami overall building drag forces to the broad side of
the moment frame building (Fig 8-1).
Figure 8-1: ETABS Model of Special Moment Frame Building with Hilo Tsunami Overall Building Drag Force
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Figure 8-2: ETABS North-South Special Moment Frame Column Moment Diagram Due to Hilo Tsunami Overall Building Drag Force
The moment and shear values from ETABS were used to redesign the beams and
columns in the north-south moment frames.
RISA-2D was used to determine the moment and shear values due to component
loading (which includes hydrodynamic drag component forces and impact forces) on
structural members. For the moment frame building, only exterior and interior columns
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were analyzed for component loading. Figure 8-3 shows an example of the hydrodynamic
component loading and moment diagram of a portion of an exterior column on RISA-2D.
Figure 8-3: RISA 2-D Special Moment Frame Column Moment Diagram Due to Hilo Tsunami Hydrodynamic Component Drag Force
8.1.2 Beam Designs
Tables 8-1 through 8-4 display the beam flexural and shear reinforcing designs due to
the tsunami overall building drag force for the Hilo special moment frame. The overall
building drag force resulted in larger beam moments and shears than the seismic
moments and shears in the lower portion of the office building. The tsunami forces resulted
in an increase in beam size for the first floor of the Hilo Soil Type D buildings and the first
and second floors of the Hilo Soil Type B buildings. Reinforcing was also increased in
various beams in the Hilo building. Due to the relatively small overall building drag forces
in the Waikiki and Monterey buildings, redesign of the beams was not needed in those
locations.
Table 8-1: Hilo SMRF Beam Flexural Reinforcing Due to Overall Building Drag Force - Soil D
Note: Reinforcing for seismic designed members in brackets [ ]
Location Length Width Height Midspan Reinf (bot) Midspan Reinf (top) End Reinf. (bot) End Reinf. (top)
1st Floor - Typ. 28' 36" 32" (3) #10's [(2) #10's] (3) #10's [(2) #10's] (8) #10's [(5) #10's] (8) #10's [(5) #10's]
1st Floor - 10' Beam 10' 36" 32" (8) #10's [(2) #10's] (8) #10's [(2) #10's] (8) #10's [(4) #10's] (8) #10's [(4) #10's]
2nd Floor - Typ. 28' 30" 26" (2) #10's (2) #10's (5) #10's (8) #10's [(5) #10's]
2nd Floor - 10' Beam 10' 30" 26" (6) #10's [(2) #10's] (6) #10's [(2) #10's] (6) #10's [(4) #10's] (6) #10's [(4) #10's]
Rem. Floors - Typ. 28' 30" 24" (2) #10's (2) #10's (5) #10's (6) #10's [(5) #10's]
Rem. Floors - 10' Beam 10' 30" 24" (5) #10's [(2) #10's] (5) #10's [(2) #10's] (5) #10's [(4) #10's] (5) #10's [(4) #10's]
HILO TSUNAMI BULDING FORCES SMF BEAM FLEXURAL REINFORCING - SOIL D
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Table 8-2: Hilo SMRF Beam Flexural Reinforcing Due to Overall Building Drag Force - Soil B
Note: Reinforcing for seismic designed members in brackets [ ]
Table 8-3: Hilo SMRF Beam Shear Reinforcing Due to Overall Building Drag Force - Soil D
Note: Reinforcing for seismic designed members in brackets [ ]
Table 8-4: Hilo SMRF Beam Shear Reinforcing Due to Overall Building Drag Force - Soil B
Note: Reinforcing for seismic designed members in brackets [ ]
8.1.3 Column Designs
Tables 8-5 through 8-7 display the beam flexural and shear reinforcing designs due to
the tsunami overall building drag force for the Hilo and Waikiki moment frames. Because
the building was oriented such that the broad side faces the flow, the columns in the north-
south moment frames were designed with the overall building drag force as indicated in
Figure 8-4.
Location Length Width Height Midspan Reinf (bot) Midspan Reinf (top) End Reinf. (bot) End Reinf. (top)
1st Floor - Typ. 28' 36" 32" (3) #10's [(2) #10's] (3) #10's [(2) #10's] (8) #10's [(5) #10's] (8) #10's [(5) #10's]
1st Floor - 10' Beam 10' 36" 32" (8) #10's [(2) #9's] (8) #10's [(2) #9's] (8) #10's [(4) #9's] (8) #10's [(4) #9's]
2nd Floor - Typ. 28' 30" 26" (2) #10's (2) #10's (5) #10's (8) #10's [(5) #10's]
2nd Floor - 10' Beam 10' 30" 26" (6) #10's [(2) #10's] (6) #10's [(2) #10's] (6) #10's [(4) #9's] (6) #10's [(4) #9's]
Rem. Floors - Typ. 28' 26" 22" (2) #10's (2) #10's (5) #10's (5) #10's
Rem. Floors - 10' Beam 10' 26" 22" (2) #10's (2) #10's (5) #10's [(4) #9's] (5) #10's [(4) #9's]
HILO TSUNAMI BUILDING FORCES SMF BEAM FLEXURAL REINFORCING - SOIL B
Beam Type Length Width Height Shear Reinf. (mid) Shear Reinf. (end)
1st Floor - Typ. 28' 36" 32" (2) #4 legs @ 4" [(2) #3's@5"] (5) #3 legs @ 4" [(3) #4's@5"]
1st Floor - 10' Beam 10' 36" 32" (6) #4 legs @ 4" [(4) #4's@4"] (6) #4 legs @ 4" [(4) #4's@4"]
Rem. Floors - Typ. 28' 30" 26" (2) #4 legs @ 6" [(2) #3's@5"] (4) #4 legs @ 5" [(3) #4's@5"]
Rem. Floors - 10' Beam 10' 30" 26" (5) #4 legs @ 4" [(4) #4's@4"] (5) #4 legs @ 4" [(4) #4's@4"]
Rem. Floors - Typ. 28' 30" 24" (2) #4 legs @ 6" [(2) #3's@5"] (4) #4 legs @ 5" [(3) #4's@5"]
Rem. Floors - 10' Beam 10' 30" 24" (5) #4 legs @ 4" [(4) #4's@4"] (5) #4 legs @ 4" [(4) #4's@4"]
HILO TSUNAMI BULDING FORCES SMF BEAM SHEAR REINFORCING - SOIL D
Beam Type Length Width Height Shear Reinf. (mid) Shear Reinf. (end)
1st Floor - Typ. 28' 36" 32" (2) #4 legs @ 4" [(2) #3's@5"] (5) #3 legs @ 4" [(3) #4's@4"]
1st Floor - 10' Beam 10' 36" 32" (6) #4 legs @ 4" [(4) #4's@4"] (6) #4 legs @ 4" [(4) #4's@4"]
2nd Floor - Typ. 28' 30" 26" (2) #4 legs @ 6" [(2) #3's@5"] (4) #4 legs @ 5" [(3) #4's@4"]
2nd Floor - 10' Beam 10' 30" 26" (5) #4 legs @ 4" [(4) #4's@4"] (5) #4 legs @ 4" [(4) #4's@4"]
Rem. Floors - Typ. 28' 26" 22" (2) #3 legs @ 5" [(2) #3's@5"] (3) #4 legs @ 4" [(3) #4's@4"]
Rem. Floors - 10' Beam 10' 26" 22" (4) #4 legs @ 4" [(4) #4's@4"] (4) #4 legs @ 4" [(4) #4's@4"]
HILO TSUNAMI BULDING FORCES SMF BEAM SHEAR REINFORCING - SOIL B
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Figure 8-4: Location of Moment Frame Columns Affected by Overall Building Drag Force
The tsunami forces resulted in an increase in moment frame column size for the first floor
of the Hilo Soil Type D buildings and the first and second floors of the Hilo Soil Type B
buildings. Flexural reinforcement was also increased in several columns in the Hilo
building. Moment frame column size and reinforcing also needed increasing in the first
floor of the Oahu Soil Type B building. However, the columns in the Oahu Soil Type D
columns were adequate for tsunami building forces. Due to the relatively small overall
building drag forces in the Monterey building redesign of the columns was not needed.
Table 8-5: Hilo SMRF Column Reinforcing Due to Overall Building Drag Force - Soil D
Note: Reinforcing for seismic designed members in brackets [ ]
Floor Height Size Longitudinal Reinf. Boundary Reinf. Shear Reinf.
1 14' 36"x36" (24) #10's [(8) #10's] (5) #4's @4" [(3) #4's@4"] (5) #4's @5" [(2) #3's@6"]
2 12' 30"x30" (16) #10's [(8) #9's] (4) #4's @4" [(3) #4's@4"] (3) #4's @5" [(2) #3's@6"]
Rem. Floors 12' 28"x28" (8) #9's (3) #4's @ 4" (3) #3's @ 6"
HILO SPECIAL MRF COLUMNS SOIL D, TSUNAMI BUILDING FORCES
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Table 8-6: Hilo SMRF Column Reinforcing Due to Overall Building Drag Force - Soil B
Note: Reinforcing for seismic designed members in brackets [ ]
Table 8-7: Waikiki IMRF Column Reinforcing Due to Overall Building Drag Force - Soil B
Note: Reinforcing for seismic designed members in brackets [ ]
Tables 8-8 through 8-11 display the beam flexural and shear reinforcing designs due
to the tsunami component forces for the Hilo and Waikiki moment frames. Because the
building was oriented such that the broad side faces the flow, the columns on the broad
side of the building, as indicated in Figure 8-5, are exposed to component forces.
Floor Height Size Longitudinal Reinf. Boundary Reinf. Shear Reinf.
1 14' 36"x36" (24) #10's [(8) #8's] (5) #4's @4" [(3) #4's@4"] (5) #4's @5" [(2) #3's@6"]
2 12' 30"x30" (16) #10's [(8) #8's] (4) #4's @4" [(3) #4's@4"] (3) #4's @5" [(2) #3's@6"]
Rem. Floors 12' 24"x24" (8) #8's (3) #4's @ 4" (3) #3's @ 6"
HILO SPECIAL MRF COLUMNS SOIL B, TSUNAMI BUILDING FORCES
Floor Height Size Longitudinal Reinf. Boundary Reinf. Shear Reinf.
1 14' 24"x24" (8) #8's [(8) #7's] (2) #3's @ 9" (2) #3's @14" [(2) #3's@18"]
Rem. Floors 12' 20"x20" (8) #7's (2) #3's @ 9" (2) #3's @ 18"
OAHU INTERMEDIATE MRF COLUMNS SOIL B, TSUNAMI BUILDING FORCES
Floor Height Size Flexural Reinf. Boundary Reinf. Shear Reinf.
1 14' 24" (8) #8's [(8) #7's] (2) #3's @ 9" (2) #3's @14" [(2) #3's@18"]
Rem. Floors 12' 20" (8) #7's (2) #3's @ 9" (2) #3's @ 18"
OAHU INTERMEDIATE MRF COLUMNS SOIL B, TSUNAMI BUILDING FORCES
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Figure 8-5: Hilo SMRF Beam Flexural Reinforcing Due to Tsunami Building Forces - Soil D
Therefore, the columns on the broad side of the building were designed with either the
hydrodynamic drag component force or the impact force, whichever was larger. Because
the corner columns are both exposed to component forces and are also part of the
moment frame that resists overall building forces, the corner columns were designed
based on the controlling loading between the overall building force and the component
forces. Several columns in both the Hilo and Waikiki buildings needed an increase in
reinforcement due to the tsunami component forces. The columns in the Monterey building
were adequate for hydrodynamic component forces.
Table 8-8: Hilo SMRF Column Reinforcing Due to Tsunami Component Forces - Soil D
Note: Reinforcing for seismic designed members in brackets [ ]
Floor Height Size Flexural Reinf. Boundary Reinf. Shear Reinf. Controlling Load
1 14' 28" (16) #10's [(8) #10's] (4) #5's @ 4" [(3) #4's@4"] (3) #4's @ 4" [(2) #3's@6"] HYDRODYNAMIC
2 AND 3 12' 28" (12) #10's [(8) #9's] (4) #5's @ 4" [(3) #4's@4"] (3) #4's @ 4" [(2) #3's@6"] HYDRODYNAMIC
Rem. Floors 12' 28" (8) #10's [(8) #9's] (3) #4's @ 4" [(3) #4's@4"] (3) #4's @ 4" [(2) #3's@6"] IMPACT
HILO SPECIAL MRF COLUMNS SOIL D, TSUNAMI COMPONENT FORCES
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Table 8-9: Waikiki IMF Column Reinforcing Due to Tsunami Component Forces - Soil D
Note: Reinforcing for seismic designed members in brackets [ ]
Table 8-10: Hilo SMRF Column Reinforcing Due to Tsunami Component Forces - Soil B
Note: Reinforcing for seismic designed members in brackets [ ]
Table 8-11: Waikiki IMRF Column Reinforcing Due to Tsunami Component Forces - Soil B
Note: Reinforcing for seismic designed members in brackets [ ]
Figures 8-6 and 8-7 show the typical first floor beam reinforcement layouts for the
seismic designed Hilo Soil D building and the tsunami designed Hilo building, respectively.
Each figure has the beam reinforcing layout for the boundary and the midspan of the
beam.
Floor Height Size Flexural Reinf. Boundary Reinf. Shear Reinf. Controlling Load
1 14' 24" (8) #8's (3) #5's @ 5" [(3) #3's@9"] (3) #3's @ 4" [(2) #3's@14"] HYDRODYNAMIC
2 12' 24" (8) #8's (3) #4's @ 5" [(3) #3's@9"] (3) #3's @ 4" [(2) #3's@14"] HYDRODYNAMIC
Rem. Floors 12' 24" (8) #7's (2) #3's @ 9" (2) #3's @ 14" SEISMIC
OAHU INTERMEDIATE MRF COLUMNS SOIL D, TSUNAMI COMPONENT FORCES
Floor Height Size Flexural Reinf. Boundary Reinf. Shear Reinf. Controlling Load
1 14' 28" (16) #10's [(8) #8's] (4) #5's @ 4" [(3) #4's@4"] (3) #4's @ 4" [(2) #3's@6"] HYDRODYNAMIC
2 AND 3 12' 28" (12) #10's [(8) #8's] (4) #5's @ 4"[(3) #4's@4"] (3) #4's @ 4" [(2) #3's@6"] HYDRODYNAMIC
Rem. Floors 12' 24" (8) #8's (3) #5's @ 5" [(3) #4's@4"] (3) #5's @ 5" [(2) #3's@6"] IMPACT
HILO SPECIAL MRF COLUMNS SOIL B, TSUNAMI COMPONENT FORCES
Column Type Height Size Flexural Reinf. Boundary Reinf. Shear Reinf. Controlling Load
1 14' 24" (8) #8's [(8) #7's] (3) #5's @ 5" [(2) #3's@9"] (3) #3's @ 4" [(2) #3's@18"] HYDRODYNAMIC
2 12' 24" (8) #8's [(8) #7's] (3) #4's @ 5" [(2) #3's@9"] (3) #3's @ 4" [(2) #3's@18"] HYDRODYNAMIC
Rem. Floors 12' 20" (8) #7's (2) #3's @ 9" (2) #3's @ 18" SEISMIC
OAHU INTERMEDIATE MRF COLUMNS SOIL B, TSUNAMI COMPONENT FORCES
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Figure 8-6: Boundary reinforcing (left) and midspan reinforcing (right) for the Hilo Seismic Soil D first floor moment frame beams.
Figure 8-7: Boundary reinforcing (left) and midspan reinforcing (right) for the Hilo Tsunami Overall Building Drag Force first floor moment frame beams.
Figures 8-8 and 8-9 show the typical first floor column reinforcement layouts for the
seismic designed Hilo Soil D building and the Hilo tsunami designed building, respectively.
The figures display the boundary column reinforcing layout.
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Figure 8-8: Boundary reinforcing the Hilo Seismic Soil D first floor moment frame columns.
Figure 8-9: Boundary reinforcing for the Hilo Tsunami Overall Building Drag Force first floor moment frame columns.
8.2 Residential Building Tsunami Designs
8.2.1 Shear Wall Analysis
ETABS was used to apply the tsunami overall building drag forces to the broad side of
the shear wall building (Fig 8-10).
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Figure 8-10: ETABS Model of Special Shear Wall Building with Hilo Tsunami Overall Building Drag Force
The moment and shear values from ETABS were used to redesign the elevator shear
walls, which provide the main resistance against lateral loads perpendicular to the broad
side of the building. Figure 8-11 shows the ETABS moment distribution on an elevator
shear wall caused by the overall building drag force.
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Figure 8-11: ETABS Stairwell Shear Wall Moment Diagram Due to Hilo Tsunami Overall Building Drag Force
RISA-2D was used to determine the moment and shear values due to component
loading (which includes hydrodynamic drag component forces and impact forces) on
structural members. For the shear wall building, exterior columns, interior columns, and the
exterior portion of the elevator shear walls were analyzed for component loading. For
analysis of the elevator shear walls, the load was determined for a one-foot width section
of the wall. Figure 8-12 shows an example the hydrodynamic component loading and
moment diagram of a portion of the exterior elevator shear wall on RISA-2D.
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Figure 8-12: RISA 2-D 12” Width Elevator Shear Wall Segment Moment Diagram Due to Hilo Tsunami Hydrodynamic Component Drag Force
8.2.2 Elevator Shear Wall Designs
Tables 8-12, 8-13, and 8-14 display the shear wall flexural and shear reinforcing
designs due to the tsunami component forces for the Hilo, Waikiki, and Monterey elevator
shear walls. Because the building was oriented such that the broad side faces the flow, the
shear walls on the exterior of the building were designed with component forces. It was
determined that the debris impact loads controlled over the hydrodynamic component drag
forces. The vertical reinforcing was increased in the exterior (web) portion of the elevator
shear walls to resist out of plane bending. The width of this portion of the wall was also
increased from 10” to 12” to help resist out of plane shear. Due to the out of plane shear
force in the exterior portion of the elevator shear walls due to component forces, the
original shear wall design would fail in shear. Therefore, headed shear studs are needed to
resist the out of plane shear forces due to components on the exterior portion of the
elevator walls.
For the tsunami component design of the exterior (web) portion of the elevator shear
walls, note that the horizontal reinforcing, boundary reinforcing, and tie reinforcing do not
change from the seismic designed shear walls. Therefore, those respective columns have
been left out of Tables 8-12, 8-13, and 8-14.
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Table 8-12: Hilo Special Elevator Shear Wall Reinforcing Due to Tsunami Component Forces
Note: Reinforcing for seismic designed members in brackets [ ]
Table 8-13: Waikiki Elevator Shear Wall Reinforcing Due to Tsunami Component Forces
Note: Reinforcing for seismic designed members in brackets [ ]
Table 8-14: Monterey Elevator Shear Wall Reinforcing Due to Tsunami Component Forces
Note: Reinforcing for seismic designed members in brackets [ ]
Figures 8-13 and 8-14 show the typical first floor elevator shear wall reinforcement
layouts for the seismic designed Hilo Soil D building and the tsunami designed Hilo
building, respectively.
Location Portion Length Width Vert. Reinf. Headed Studs Stud Row Spacing
All Floors Flange 132" 10" No Change n/a n/a
1st Floor Web 336" 12" #10's @ 10" E.F. [#8's @18" E.F.] #5's @ 4" 12"
2nd Floor Web 336" 12" #10's @ 10" E.F. [#7's @18" E.F.] #5's @ 4" 12"
Rem. Floors Web 336" 12" #10's @ 10" E.F. [#6's @18" E.F.] #5's @ 4" 12"
HILO SPECIAL ELEVATOR SHEAR WALL- TSUNAMI COMPONENT FORCES (DEBRIS IMPACT CONTROL)
Location Portion Length Width Vert. Reinf. Headed Studs Stud Row Spacing
All Floors Flange 132" 10" No Change n/a n/a
1st Floor Web 336" 12" #10's @ 16" E.F. [#8's @18" E.F.] #4's @ 5" 12"
2nd Floor Web 336" 12" #10's @ 16" E.F. [#7's @18" E.F.] #4's @ 5" 12"
3rd Floor Web 336" 12" #10's @ 16" E.F. [#6's @18" E.F.] #4's @ 5" 12"
Rem. Floors Web 336" 12" No Change n/a n/a
WAIKIKI ORDINARY ELEVATOR SHEAR WALL - TSUNAMI COMPONENT FORCES (DEBRIS IMPACT CONTROL)
Location Portion Length Width Vert. Reinf. Headed Studs Stud Row Spacing
All Floors Flange 132" 10" No Change n/a n/a
1st Floor Web 336" 12" #10's @ 16" E.F. [#8's @18" E.F.] #4's @ 5" 12"
2nd Floor Web 336" 12" #10's @ 16" E.F. [#7's @18" E.F.] #4's @ 5" 12"
Rem. Floors Web 336" 12" No Change n/a n/a
MONTEREY SPECIAL ELEVATOR SHEAR WALL - TSUNAMI COMPONENT FORCES (DEBRIS IMPACT CONTROL)
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Figure 8-13: Reinforcing for the Hilo Seismic Soil D first floor elevator shear walls.
Figure 8-14: Reinforcing for the Hilo Tsunami Component Force first floor elevator shear walls.
8.2.3 Stairwell Shear Wall Designs
Table 8-15 displays the shear wall flexural and shear reinforcing designs due to the
tsunami overall building drag forces for the Hilo special stairwell shear walls. Because the
building was oriented such that the broad side faces the flow, the stairwell shear walls on
the east and west side of the building was designed to resist the overall building drag
forces. The seismic designs of the Waikiki ordinary stairwell and the Monterey special
shear wall are adequate to resist tsunami overall building forces.
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Table 8-15: Hilo Special Stairwell Shear Wall Due to Overall Building Drag Force – Soil D
Note: Reinforcing for seismic designed members in brackets [ ]
Table 8-16: Hilo Special Stairwell Shear Wall Due to Overall Building Drag Force – Soil B
Note: Reinforcing for seismic designed members in brackets [ ]
8.2.4 External Gravity Column Designs
Tables 8-17 and 8-18 display the gravity column flexural and shear reinforcing designs
due to the tsunami component forces for the Hilo and Waikiki buildings. Because the
building was oriented such that the broad side faces the flow, the gravity on the exterior of
the building were designed with component forces. It was determined that the gravity
columns on the interior of the building would not need to be redesigned due to small
Location Portion Length Vert. Reinf. Horiz. Reinf. Boundary Vert. Reinf. Ties Req'd
1st Floor Flange 120" (2) #9's @ 12" E.F. #7's @9" E.F. (14) #10's [(8) #10's] Y
1st Floor Web 192" #9's @ 12" E.F. [#9's @ 18" E.F.] #9's @9" E.F. [#7's @9" E.F.] (24) #10's [(12) #10's] Y
1st Floor Door Wall 146" #9's @ 12" E.F. [#9's @ 18" E.F.] #9's @9" E.F. [#7's @9" E.F.] (14) #10's [(8) #10's] Y
2nd Floor Flange 120" #9's @ 18" E.F. #7's @9" E.F. (6) #10's Y
2nd Floor Web 192" #9's @ 18" E.F. #8's @9" E.F. [#7's @9" E.F.] (8) #10's Y
2nd Floor Door Wall 146" #9's @ 18" E.F. #8's @9" E.F. [#7's @9" E.F.] (6) #10's Y
3rd Floor Flange 120" #9's @ 18" E.F. [#8's @ 18" E.F.] #7's @9" E.F. (6) #10's [(4) #10's] Y
3rd Floor Web 192" #9's @ 18" E.F. [#8's @ 18" E.F.] #7's @9" E.F. (8) #10's [(4) #10's] Y
3rd Floor Door Wall 146" #9's @ 18" E.F. [#8's @ 18" E.F.] #7's @9" E.F. (6) #10's [(4) #10's] Y
4th Floor Flange 120" #9's @ 18" E.F. [#7's @ 18" E.F.] #7's @9" E.F. (6) #10's [(4) #7's] Y [N]
4th Floor Web 192" #9's @ 18" E.F. [#7's @ 18" E.F.] #7's @9" E.F. (8) #10's [(4) #7's] Y [N]
4th Floor Door Wall 146" #9's @ 18" E.F. [#7's @ 18" E.F.] #7's @9" E.F. (6) #10's [(4) #7's] Y [N]
Rem. Floors Flange 120" #9's @ 18" E.F. [#6's @ 18" E.F.] #7's @9" E.F. (6) #10's [(4) #6's] Y [N]
Rem. Floors Web 192" #9's @ 18" E.F. [#6's @ 18" E.F.] #7's @9" E.F. (8) #10's [(4) #6's] Y [N]
Rem. Floors Door Wall 146" #9's @ 18" E.F. [#6's @ 18" E.F.] #7's @9" E.F. (6) #10's [(4) #6's] Y [N]
HILO SPECIAL STAIRWELL SHEAR WALL - TSUNAMI BUILDING FORCES - SOIL D
Location Portion Length Vert. Reinf. Horiz. Reinf. Boundary Vert. Reinf. Ties Req'd
1st Floor Flange 120" (2) #9's @ 12" E.F. #7's @9" E.F. [#6's @8" E.F.] (14) #10's [(8) #10's] Y
1st Floor Web 192" #9's @ 12" E.F. [#9's @ 18" E.F.] #9's @9" E.F. [#6's @8" E.F.] (24) #10's [(12) #10's] Y
1st Floor Door Wall 146" #9's @ 12" E.F. [#9's @ 18" E.F.] #9's @9" E.F. [#6's @8" E.F.] (14) #10's [(8) #10's] Y
2nd Floor Flange 120" #9's @ 18" E.F. #7's @9" E.F. [#6's @8" E.F.] (6) #10's [(4) #10's] Y
2nd Floor Web 192" #9's @ 18" E.F. #8's @9" E.F. [#6's @8" E.F.] (8) #10's [(4) #10's] Y
2nd Floor Door Wall 146" #9's @ 18" E.F. #8's @9" E.F. [#6's @8" E.F.] (6) #10's [(4) #10's] Y
3rd Floor Flange 120" #9's @ 18" E.F. [#8's @ 18" E.F.] #7's @9" E.F. [#6's @8" E.F.] (6) #10's [(4) #8's] Y [N]
3rd Floor Web 192" #9's @ 18" E.F. [#8's @ 18" E.F.] #7's @9" E.F. [#6's @8" E.F.] (8) #10's [(4) #8's] Y [N]
3rd Floor Door Wall 146" #9's @ 18" E.F. [#8's @ 18" E.F.] #7's @9" E.F. [#6's @8" E.F.] (6) #10's [(4) #8's] Y [N]
Rem. Floors Flange 120" #9's @ 18" E.F. [#6's @ 18" E.F.] #7's @9" E.F. [#6's @8" E.F.] (6) #10's [(4) #6's] Y [N]
Rem. Floors Web 192" #9's @ 18" E.F. [#6's @ 18" E.F.] #7's @9" E.F. [#6's @8" E.F.] (8) #10's [(4) #6's] Y [N]
Rem. Floors Door Wall 146" #9's @ 18" E.F. [#6's @ 18" E.F.] #7's @9" E.F. [#6's @8" E.F.] (6) #10's [(4) #6's] Y [N]
HILO SPECIAL STAIRWELL SHEAR WALL - TSUNAMI BUILDING FORCES - SOIL B
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hydrodynamic component forces on the interior columns. The original design of the
Monterey gravity columns was adequate to resist tsunami component forces.
Table 8-17: Hilo Residential Building Exterior Gravity Column Reinforcing Due to Tsunami Component Forces
Note: Reinforcing for seismic designed members in brackets [ ]
Table 8-18: Oahu Residential Building Exterior Gravity Column Reinforcing Due to Tsunami Component Forces
Note: Reinforcing for seismic designed members in brackets [ ]
Column Height Size Flexural Reinf. Boundary Reinf. Shear Reinf. Load Type
1st Floor 12' 24" (12) #10's [(8) #7's] (4) #5's @ 4" [(3) #4's@4"] (3) #5's @ 5" [(3) #3's@5"] Hydrodynamic
2nd Floor 9' 24" (12) #9's [(8) #7's] (4) #5's @ 4" [(3) #4's@4"] (3) #5's @ 5" [(3) #3's@5"] Hydrodynamic
Rem. Floors 9' 24" (12) #8's [(8) #7's] (3) #5's @ 4" [(3) #4's@4"] (3) #5's @ 5" [(3) #3's@5"] Impact
EXTERIOR GRAVITY COLUMNS - HILO RESIDENTIAL BUILDING (TSUNAMI COMPONENT LOADING)
Column Height Size Flexural Reinf. Boundary Reinf. Shear Reinf. LOAD TYPE
1st Floor 12' 22" (12) #8's [(8) #7's] (3) #5 legs @ 4" (3) #4's @ 5" [(3) #3's@5"] Hydrodynamic
2nd Floor 9' 20" (8) #8's [(8) #7's] (3) #4 legs @ 4" (3) #4's @ 5" [(3) #3's@5"] Hydrodynamic
Rem. Floors 9' 20" (8) #7's (3) #4 legs @ 4" (3) #3's @ 5" Seismic
EXTERIOR GRAVITY COLUMNS - OAHU RESIDENTIAL BUILDING (TSUNAMI COMPONENT LOADING)
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Material Quantity Comparison 9
9.1 Material Quantity Comparison
Tables 9-1 and 9-2 display the amount of concrete and steel required for the seismic
designed buildings and the tsunami designed buildings. The increase in volume of
concrete between the seismic buildings and tsunami buildings were minimal. However, the
designs for all buildings needed an increase in reinforcement tonnage for the tsunami
designs.
Table 9-1: Concrete Quantity Comparison
Building Seis. Conc Vol. (CY) TSU Conc Vol. (CY) % Increase
Hilo Special Moment Frame - D 5286 5405 2.25
Hilo Special Moment Frame - B 4908 5342 8.84
Intermediate Moment Frame - D 5057 5150 1.86
Intermediate Moment Frame - B 4696 5042 7.37
Monterey Special Moment Frame - D 5286 5286 0
Monterey Special Moment Frame - B 4908 4908 0
Hilo Special Shear Wall - D 3415 3483 1.99
Hilo Special Shear Wall - B 3415 3483 1.99
Ordinary Shear Wall - D 3415 3420 0.121
Ordinary Shear Wall - B 3415 3420 0.121
Monterey Special Shear Wall - D 3415 3420 0.121
Monterey Special Shear Wall - B 3415 3420 0.121
Concrete Quantity Comparison
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Table 9-2: Reinforcement Quantity Comparison
For the Hilo special moment frame buildings, an increase concrete volume of 2.3%
and 8.8% was required for the tsunami design of the Soil D and Soil B buildings,
respectively. An increase of reinforcement weight of 22.2% and 27.5% was also required
for the tsunami design of the Soil D and Soil B moment frame buildings, respectively. The
increase of concrete volume between both Hilo special shear wall buildings was only 2.2%.
However, an increase in reinforcement weight of 38.3% and 39.9% was also required for
the tsunami design of the Soil D and Soil B shear wall buildings, respectively. Much of the
reinforcement increase was due to the significant increase in reinforcing required for the
exterior portion of the elevator shear walls due to impact loads.
For the Waikiki intermediate moment frame buildings, an increase concrete volume of
1.86% and 7.37% was required for the tsunami design of the Soil D and Soil B buildings,
respectively. An increase in reinforcement weight of 3.21% and 4.24% was also required
for the tsunami design of the Soil D and Soil B moment frame buildings, respectively. The
increase of concrete volume between both Waikiki ordinary shear wall buildings was only
0.12%. However, an increase in reinforcement weight of 8.41% and 10.4% was also
Building Seis. Reinf. Wt (Ton) TSU Reinf. Wt (Ton) % Increase
Hilo Special Moment Frame - D 304 371 22.2
Hilo Special Moment Frame - B 284 362 27.5
Intermediate Moment Frame - D 220 228 3.41
Intermediate Moment Frame - B 201 210 4.24
Monterey Special Moment Frame - D 304 304 0
Monterey Special Moment Frame - B 284 284 0
Hilo Special Shear Wall - D 135 187 38.9
Hilo Special Shear Wall - B 132 184 39.9
Ordinary Shear Wall - D 120 130 8.41
Ordinary Shear Wall - B 112 124 10.4
Monterey Special Shear Wall - D 135 144 7.24
Monterey Special Shear Wall - B 132 139 5.53
Reinforcing Steel Quantity Comparison
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required for the tsunami design of the Soil D and Soil B shear wall buildings, respectively.
The increases in concrete and reinforcement were smaller in the Waikiki buildings than in
the Hilo buildings due to the smaller tsunami forces in the Waikiki location.
Due to the relatively low tsunami forces in Monterey, there was no difference in
concrete or reinforcement volume in the moment frame building. There was also a minimal
increase in concrete in the Monterey shear wall building. However, an increase in
reinforcing weight of 7.24% and 5.53% was required for the tsunami design of the Soil D
and Soil B shear wall buildings, respectively. This increase in reinforcement was primarily
due to the impact forces on the exterior shear walls and the exterior gravity columns on the
lower floors of the Monterey residential building.
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Conclusions 10
After analyzing these prototype buildings for tsunami loads, the following conclusions
were made:
Tsunami forces resulted in redesign for members in Waikiki and Hilo buildings.
For the Monterey buildings, no redesign was required for the moment frame
building and minimal redesign was needed for the shear wall building.
The increase in concrete volume was small for each building analyzed. The
greatest required increase of concrete volume for the moment frame buildings
due to tsunami forces was 8.8%. For the shear wall buildings, the greatest
required concrete volume increase was 1.99%.
An increase in reinforcing weight of 7.24% and 5.53% was required for the
tsunami design of the Monterey Soil D and Soil B special shear wall buildings,
respectively.
An increase of reinforcement weight of 22.2% and 27.5% was also required for
the tsunami design of the Soil D and Soil B moment frame buildings,
respectively. In the lower floors of the building, column and beam size were
greatly increased due to overall building drag forces.
Impact loading on the Hilo and Waikiki exterior elevator shear walls resulted in
an increase of wall thickness, an increase in longitudinal steel and also required
the addition of shear studs.
An increase in reinforcement weight of 38.3% and 39.9% was required for the
tsunami design of the Hilo Soil D and Soil B shear wall buildings, respectively.
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Due to out of plane tsunami impact forces from shipping containers, the exterior
portion of the elevator shear wall required an increase in thickness of 2” and the
addition of shear headed studs.
In, Waikiki, an increase in reinforcement weight of 3.21% and 4.24% was also
required for the tsunami design of the Soil D and Soil B intermediate moment
frame buildings, respectively. An increase in reinforcement weight of 8.41% and
10.4% was also required for the tsunami design of the Waikiki Soil D and Soil B
ordinary shear wall buildings, respectively. The addition of shear headed studs
was required for the inundated floors of the shear wall buildings due to out of
plane impact forces.
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References 11
ACI, 2011, Building Code Requirements for Structural Concrete, American Concrete Institute, Farmington Hills, Michigan ASCE, 2010, Minimum Design Loads for Buildings and Other Structures, American Society of Civil Engineers, Reston, Virginia. ASCE, 2014, ASCE 7 Chapter 6 Draft Tsunami Loads and Effects, ASCE 7 Tsunami Loads and Effects Subcommittee. CAEE, 2005, The December 26, 2004 Sumatra Earthquake and Tsunami, The Canadian Association for Earthquake Engineering, The University of Ottawa, Ottawa, ON, Canada. CCH 2000. Department of Planning and Permitting of Honolulu Hawai'i. City and County of Honolulu Building Code. Chapter 16 Article 11 Chock, G., Robertson, I.N., Kriebel D., Francis, M., and Nistor, I., 2011, Tohoku Japan Tsunami of March 11, 2011 Performance of Structures, American Society of Civil Engineers Structural Engineering Institute. FEMA 2000. Coastal Construction Manual. FEMA 55, Federal Emergency Management Agency FEMA, 2008, Guidelines for Design of Structures for Vertical Evacuation from Tsunamis, FEMA P646 Report, Federal Emergency Management Agency, Washington D.C. Ghosh, S.K., and David A. Fanella (2003). Seismic and Wind Design of Concrete Buildings. Illinois: Country Club Hills IBC, 2012, International Building Code, International Code Council, Country Club Hills, Illinois. Mikhaylov, Y. and Robertson, I., 2009, Evaluation of Prototypical Reinforced Concrete Building Performance When Subjected to Tsunami Loading, Research Report UHM/CEE/09-01, University of Hawai’i at Mānoa, Honolulu, Hawai’i. (http://www.cee.hawaii.edu/reports/UHM-CEE-09-01.pdf) Mohamed, A., 2008, Characterization of Tsunami-Like Bores in Support of Loading on Structures, University of Hawai’i at Mānoa, Honolulu, Hawai’i. Pacheco, K. and Robertson, I., 2005, Evaluation of Tsunami Loads and Their Effect on Reinforced Concrete Buildings, Research Report UHM/CEE/05-06, University of Hawai’i at Mānoa, Honolulu, Hawai’i. (http://www.cee.hawaii.edu/reports/UHM-CEE-05-06.pdf)
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Appendix A – Hilo Tsunami Design Loads Sample Calculation
Prototype Concrete Buildings - Hilo
6-Story Office Building
Special Moment Resisting Frame on perimeter and interior frames; interior gravity columns with posttensioned floor slabs
Seismic Design Criteria: Ss = 1.5, S1 = 0.6; Seismic site class D; R = 8, o = 3, Cd = 5.5
Tsunami Risk Category II building located in Tsunami Design Zone per Figure 6.1-1. Mean height above grade plane = 74 ft > 65 ft, therefore tsunami design is required (per Section 6.1.1a).
7-Story Residential Building
Building Frame System with special reinforced concrete shear walls at exit stairs and elevator core, with concrete floor slabs on gravity columns
Seismic Design Criteria: Ss = 1.5, S1 = 0.6; Seismic site class D; R = 6, o = 2.5, Cd = 5
Tsunami Risk Category II building located in Tsunami Design Zone per Figure 6.1-1. Mean height above grade plane = 66 ft > 65 ft, therefore tsunami design is required (per Section 6.1.1a)
Assumed Conditions
A. Building oriented with longitudinal axis parallel to shoreline.
B. Building has no basement.
C. Foundation system is deep piles with pile caps supporting all shear walls and all exterior columns.
D. Ground floor – slab on grade with isolation joints at columns.
E. Top of first floor windows – 8 ft. above grade (window sill at 3 ft).
F. Section 6.6.4 - Tsunami Bores: Shall be considered where any of the following conditions exist:
1. Prevailing nearshore bathymetric slope is 1/100 or milder – Does not apply
2. Shallow fringing reefs or other similar step discontinuities – Does not apply
3. Where historically documented – Applies
4. As described in the Recognized Literature – Does not apply
5. As determined by a site-specific inundation analysis – not required for these buildings
Therefore bore loading must be considered in this design. G. Section 6.11 - Debris Impact Loads: Subject to shipping containers, ships or barges.
H. Exterior cladding spans vertically between floors.
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Tsunami Loading Summary
Table gives a summary of the tsunami loads determined for each of the two buildings located at each of the selected sites. Note that these values include the loading values for the Monterey and Waikiki locations. This sample calculation will only use the loading values for the Hilo location.
Table 1: Summary of Tsunami Loading for Office and Residential Buildings
Office Building Residential Building
Flow Parameters Hilo Waikiki Monterey Hilo Waikiki Monterey
Max. Inundation Depth, hmax (ft)
55 25 13 55 25 13
Max. Flow Velocity, umax (fps) 35.8 28 18 35.8 28 18
Overall Building Lateral Loading (kips)
Load Case 1 1047 874 974 1429 1554 974
Load Case 2 11490 3297 769 11490 3297 769
Load Case 3 1947 424 119 1915 424 119
Hydrodynamic Drag Component Loading
Exterior Column Hydrodynamic Drag (kips/ft)
55.3 33.8 14.0 55.3 33.8 14.0
Interior Column Hydrodynamic Drag (kips/ft)
5.6 3.45 1.4 4.7 2.9 1.2
Exterior Wall Hydrodynamic Drag (kips/ft)
- - - 79.0 48.3 27.9
Interior Wall Hydrodynamic Drag (kips/ft)
- - - 28.2 17.2 7.1
Exterior Wall Bore Force (kips/ft)
- - - 50.1 53.2 -
Debris Loading
Exterior Column Debris Impact (kips)
214.5 107.3 102.8 214.5 107.3 102.8
Exterior Wall Debris Impact (kips)
- - - 214.5 107.3 102.8
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Tsunami Design for Hilo Office Building
Overall Building Forces
Section 6.8.3.1 defines the following three Load Cases, which must be considered in the design.
Load Case 1: Maximum buoyancy and associated hydrodynamic drag.
The exterior inundation depth need not exceed the lesser of
hext < hmax = 55.0 ft
< 10 ft
< top of first story windows = 8 ft. CONTROLS
Because the ground floor consists of a slab-on-grade that is isolated from the building columns, any uplift pressures developed below the slab will cause localized slab failure but will not result in buoyancy of the building. Therefore overall buoyancy is not a consideration.
For the sake of illustration, if we had assumed that the ground floor consists of structural grade beams and integral slab on grade without isolation joints, and that the soil allowed ground water pressure increase below the building (ie. sandy or gravely subsoil), the buoyancy would need to be considered as follows:
Section 6.9.1, Eqn. 6.9.1-1 𝐹𝑣 = 𝛾𝑠𝑉𝑤 = (1.1x64.0)(254’ x 88’ x 8’)/1000 = 12,588 kips
Apply load combination: 0.9D + FTSU + 1.2 HTSU
where HTSU = 0 since scour is assumed uniform around the building perimeter.
and building dead weight, D = 25,100 kips, including foundation.
Therefore net uplift = - 0.9 x 25,100 + 12,588 = -10002 kips, downward.
Overall uplift would therefore not be a concern, even if the ground floor were a structural slab capable of resisting the associated buoyancy pressures. This example also ignores any uplift resistance provided by the deep foundations.
In combination with buoyancy, Load Case 1 requires application of the associated hydrodynamic drag on the entire building.
Section 6.10.2, Eqn. 6.10.2-1 gives 𝐹𝑑𝑥 =1
2𝜌𝑠𝐼𝑡𝑠𝑢𝐶𝑑𝐶𝑐𝑥𝐵(ℎ𝑢2)
Where s = 1.1 x 2.0 = 2.2 slugs/cuft
Itsu = 1.0 (Table 6.8-1 – TRC II)
Cd = 1.45 (Table 6.10-1 based on B/hsx = 254/8 = 31.8)
𝐶𝑐𝑥 = 1.0 since the exterior walls are assumed to be intact for Load Case 1
B = 254’ overall width of building
h = 8’
Figure 6.8-1 is used to determine the flow velocity corresponding to an inundation depth of 8 ft. For h = 8’, h/hmax = 8/55.0 = 0.145. Identifying this point on the inflow side of Figure 6.8-1(a) indicates that this inundation depth occurs at t/(TTSU) = 0.04. At the same time in Figure 6.8-1(b) the flow velocity ratio is u/umax = 0.98. Therefore the flow velocity is u = 0.6 x 35.8 = 21.48 fps.
So 𝐹𝑑𝑥 =1
2𝜌𝑠𝐼𝑡𝑠𝑢𝐶𝑑𝐶𝑐𝑥𝐵(ℎ𝑢2) =
1
2× 2.2 × 1.0 × 1.45 × 1.0 × 254(8 × 21.482)/1000 = 1495 𝑘𝑖𝑝𝑠
This load is compared with the seismic base shear to determine if the lateral force resisting system has ample capacity to resist the overall tsunami loads. For the redesign of the lateral force resisting
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system, if needed, the force is distributed to each inundated floor and is applied to an ETABS model.
Load Case 2: Maximum Flow Velocity
According to Figure 6.8-1, LC2 occurs when the inundation depth is 2/3hmax = 2/3 x 55.0 = 36.67 ft.
Section 6.10.2, Eqn. 6.10.2-1 gives 𝐹𝑑𝑥 =1
2𝜌𝑠𝐼𝑡𝑠𝑢𝐶𝑑𝐶𝑐𝑥𝐵(ℎ𝑢2)
Where all parameters are the same as for LC1 except:
Cd = 1.25 (Table 6.10-1 based on B/hsx = 254/36.67 = 6.93)
𝐶𝑐𝑥(𝑡𝑦𝑝) =∑(𝐴𝑐𝑜𝑙+𝐴𝑤𝑎𝑙𝑙)+1.5𝐴𝑏𝑒𝑎𝑚
𝐵ℎ𝑠𝑥=
∑((2.5′×36.67′×40+2′×36.67′×16)+0+1.5∗2′∗254′)
254′×36.67′= 0.601 < 0.7
Therefore 𝐶𝑐𝑥 = 0.7 controls per Section 6.8.7
Due to differing floor heights, the Ccx calculation was repeated for all floors. The Ccx value of the top inundated floor is also different due to the fact that the top inundated floor is only partially inundated by the tsunami. It was determined that Ccx = 0.7 controlled for all floors. For simplicity, only the Ccx calculation for the typical floor is shown.
h = 36.67 ft.
u = umax = 35.8 fps
So 𝐹𝑑𝑥 =1
2𝜌𝑠𝐼𝑡𝑠𝑢𝐶𝑑𝐶𝑐𝑥𝐵(ℎ𝑢2) =
1
2× 2.2 × 1.0 × 1.25 × 0.7 × 254(36.67 × 35.82)/1000 = 11489 𝑘𝑖𝑝𝑠
This load is compared with the seismic base shear to determine if the lateral force resisting system has ample capacity to resist the overall tsunami loads. For the redesign of the lateral force resisting system, if needed, the force is distributed to each inundated floor and is applied to an ETABS model.
Load Case 3: Maximum Inundation Depth
According to Figure 6.8-1, LC3 occurs when the inundation depth is hmax = 55.0 ft. and the flow velocity is 1/3umax = 1/3 x 35.8 = 11.93 fps.
Section 6.10.2, Eqn. 6.10.2-1 gives 𝐹𝑑𝑥 =1
2𝜌𝑠𝐼𝑡𝑠𝑢𝐶𝑑𝐶𝑐𝑥𝐵(ℎ𝑢2)
All other parameters are the same as LC2 parameters.
So 𝐹𝑑𝑥 =1
2𝜌𝑠𝐼𝑡𝑠𝑢𝐶𝑑𝐶𝑐𝑥𝐵(ℎ𝑢2) =
1
2× 2.2 × 1.0 × 1.25 × 0.7 × 254(55 × 11.932)/1000 = 1914 𝑘𝑖𝑝𝑠
This load is compared with the seismic base shear to determine if the lateral force resisting system has ample capacity to resist the overall tsunami loads. For the redesign of the lateral force resisting system, if needed, the force is distributed to each inundated floor and is applied to an ETABS model.
Although LC3 does not control design of the lateral force resisting system, the intent of LC3 is to ensure evaluation of components up to the maximum inundation depth.
Evaluation of Lateral Force Resisting System
Because the structure has been designed for Seismic Design Category D, Section 6.8.3.4 permits
the use of 0.75oEh to evaluate the lateral force resisting system (LFRS), where Eh is the seismic base shear. From the seismic design of this structure, Eh = 2,435 kips. Therefore:
0.75Ω𝑜𝐸ℎ = 0.75 × 3 × 2,435 = 5,479 𝑘𝑖𝑝𝑠
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For this example, the controlling load case for overall building tsunami lateral load is LC2, with Fdx = 11490 kip.
0.75Ω𝑜𝐸ℎ = 5,479 𝑘𝑖𝑝𝑠 < 11490 𝑘𝑖𝑝𝑠 ∴ 𝑁𝐺
So the lateral force resisting system does not have ample capacity to resist the overall tsunami loads.
Component Loads
Drag Force on Components - Section 6.10.2.2
Exterior Columns
The exterior columns are assumed to have accumulated debris resulting in an increased tributary width of hydrodynamic load. Section 6.10.2.2 will require that Cd = 2.0 and the width dimension, b, be taken as the tributary width multiplied by the closure ratio value, Ccx, given in Section 6.8.7. Therefore b = 0.70x28’ = 19.6 ft.
The controlling load case will be LC2, when the inundated height of the element is he = 12 ft and umax = 35.8 fps.
The hydrodynamic drag is computed using Eqn 6.10.2-3 as:
𝐹𝑑 =1
2𝜌𝑠𝐼𝑡𝑠𝑢𝐶𝑑𝑏(ℎ𝑒𝑢2) =
1
2× 2.2 × 1.0 × 2.0 × 19.6(12 × 35.82)/1000 = 663 𝑘𝑖𝑝𝑠
This load is applied to the column as an equivalent uniformly distributed lateral load of 663/12 = 55.3 kips/ft over the entire length of the column. The column must be designed for this load combined with gravity loads using the load combinations in Section 6.8.3.3.
Interior Columns
Interior columns are 24” (2 ft) square R.C. columns. The controlling load case will be LC2, when the inundation height of the element is he = 12 ft and umax = 35.8 fps.
The hydrodynamic drag is computed using Eqn. 6.10.2-3 as:
𝐹𝑑 =1
2𝜌𝑠𝐼𝑡𝑠𝑢𝐶𝑑𝑏(ℎ𝑒𝑢2)
Where Cd = 2.0 for square columns (Table 6.10-2)
Therefore 𝐹𝑑 =1
2𝜌𝑠𝐼𝑡𝑠𝑢𝐶𝑑𝑏(ℎ𝑒𝑢2) =
1
2× 2.2 × 1.0 × 2.0 × 2.0(12 × 35.82)/1000 = 67.7 𝑘𝑖𝑝𝑠
This load is applied to the column as an equivalent uniformly distributed lateral load of 67.7/12 = 5.64 kips/ft over the height of the column. This load must be combined with gravity loads using the load combinations in Section 6.8.3.3 and the column capacity. Debris Impact Loads - Section 6.11
The inundation depth at the site exceeds 3 feet, therefore exterior structural elements below the flow depth must be designed for debris impact loads per Section 6.11.
Alternative Simplified Debris Impact Static Load - Section 6.11.1
In lieu of detailed debris impact analysis, the member can be designed for the maximum static load given by Eqn. 6.11.1-1:
𝐹𝑖 = 330𝐶𝑜𝐼𝑡𝑠𝑢 = 330 × 0.65 × 1.0 = 214.5 𝑘𝑖𝑝𝑠
Since the building location is in an impact zone for shipping containers, ships, and barges, this entire force is used, and cannot be reduced by 50%. This load must be applied to the exterior
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columns as a static lateral load at points critical for flexure and shear, in combination with gravity loads on the column. It is not combined with other tsunami loads and it need not be applied to interior columns.
In the event that this load exceeds the column capacity, a detailed debris impact analysis can be performed. This detailed analysis may result in a smaller debris impact load.
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Tsunami Design for Residential Building
Overall Building Forces
Section 6.8.3.1 defines the following three Load Cases, which must be considered in the design. Because the calculation procedures for the overall building force for the three load cases were shown for the Hilo office building, only the calculations for the controlling load case (Load Case 2) will be shown for the residential building for simplicity.
Load Case 2: Maximum Flow Velocity
According to Figure 6.8-1, LC2 occurs when the inundation depth is 2/3hmax = 2/3 x 55.0 = 36.67 ft.
Section 6.10.2, Eqn. 6.10.2-1 gives 𝐹𝑑𝑥 =1
2𝜌𝑠𝐼𝑡𝑠𝑢𝐶𝑑𝐶𝑐𝑥𝐵(ℎ𝑢2)
Where all parameters are the same as for LC1 except:
Cd = 1.25 (Table 6.10-1 based on B/hsx = 254/36.67 = 6.93)
𝐶𝑐𝑥(𝑡𝑦𝑝) =∑(𝐴𝑐𝑜𝑙+𝐴𝑤𝑎𝑙𝑙)+1.5𝐴𝑏𝑒𝑎𝑚
𝐵ℎ𝑠𝑥=
∑((2′×36.67′×32)+(48′×36.67′)+1.5∗0.67′∗254′)
254′×36.67′= 0.468 < 0.7
Therefore 𝐶𝑐𝑥 = 0.7 controls per Section 6.8.7
Due to differing floor heights, the Ccx calculation was repeated for all floors. The Ccx value of the top inundated floor is also different due to the fact that the top inundated floor is only partially inundated by the tsunami. It was determined that Ccx = 0.7 controlled for all floors. For simplicity, only the Ccx calculation for the typical floor is shown.
h = 36.67 ft.
u = umax = 35.8 fps
So 𝐹𝑑𝑥 =1
2𝜌𝑠𝐼𝑡𝑠𝑢𝐶𝑑𝐶𝑐𝑥𝐵(ℎ𝑢2) =
1
2× 2.2 × 1.0 × 1.25 × 0.7 × 254(36.67 × 35.82)/1000 = 11489 𝑘𝑖𝑝𝑠
This load is compared with the seismic base shear to determine if the lateral force resisting system has ample capacity to resist the overall tsunami loads. For the redesign of the lateral force resisting system, if needed, the force is distributed to each inundated floor and is applied to an ETABS model.
Evaluation of Lateral Force Resisting System
Because the structure has been designed for Seismic Design Category D, Section 6.8.3.4 permits
the use of 0.75oEh to evaluate the lateral force resisting system (LFRS), where Eh is the seismic base shear. From the seismic design of this structure, Eh = 3,273 kips. Therefore;
0.75Ω𝑜𝐸ℎ = 0.75 × 3 × 3,273 = 7,364 𝑘𝑖𝑝𝑠
For this example, the controlling load case for overall building tsunami lateral load is LC2, with Fdx = 11490 kips.
0.75Ω𝑜𝐸ℎ = 7,364 𝑘𝑖𝑝𝑠 < 11490 𝑘𝑖𝑝𝑠 ∴ 𝑁𝐺
So the lateral force resisting system does not have ample capacity to resist the overall tsunami loads.
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Component Loads
Drag Force on Components - Section 6.10.2.2
Exterior Wall
Exterior walls are assumed to have accumulated debris resulting in an increase tributary width of hydrodynamic load. Section 6.10.2.2 requires that Cd = 2.0 and the width dimension, b, be taken as the tributary width multiplied by the closure ratio value, Ccx, given in Section 6.8.7. However, Ccx should be taken as 1.0, because the exterior shear wall has no openings over 28’.Therefore b = 1.0x28’ = 28.0 ft.
The controlling load case will be LC2, when the inundation depth is he = 36.67 ft and umax = 35.8 fps.
The hydrodynamic drag is computed using Eqn 6.10.2-3 as:
𝐹𝑑 =1
2𝜌𝑠𝐼𝑡𝑠𝑢𝐶𝑑𝑏(ℎ𝑒𝑢2) =
1
2× 2.2 × 1.0 × 2.0 × 28.0(36.67 × 35.82)/1000 = 2895 𝑘𝑖𝑝𝑠
This load is applied to the wall as an equivalent uniformly distributed lateral load of 2895/(36.67*28) = 2.82 kips/ft over 36.67’ of a 1 ft section of wall. The wall must be designed for this load combined with gravity loads per Section 6.8.3.3.
Exterior Gravity Columns
Interior columns are 20” (1.67 ft) square R.C. columns. The controlling load case will be LC2, when the inundation depth is is he = 36.67 ft and umax = 35.8 fps. . Section 6.10.2.2 requires that Cd = 2.0 and the width dimension, b, be taken as the tributary width multiplied by the closure ratio value, Ccx, given in Section 6.8.7. Therefore b = 0.7x28’ = 19.6 ft.
The hydrodynamic drag is computed using Eqn. 6.10.2-3 as:
𝐹𝑑 =1
2𝜌𝑠𝐼𝑡𝑠𝑢𝐶𝑑𝑏(ℎ𝑒𝑢2)
Therefore 𝐹𝑑 =1
2𝜌𝑠𝐼𝑡𝑠𝑢𝐶𝑑𝑏(ℎ𝑒𝑢2) =
1
2× 2.2 × 1.0 × 2.0 × 19.6(36.67 × 35.82)/1000 = 2027 𝑘𝑖𝑝𝑠
This load is applied to the column as an equivalent uniformly distributed lateral load of 2027/36.67 = 55.3 kips/ft over the lower 36.67 feet of the column. This load must be combined with gravity loads per Section 6.8.3.3 and the column capacity verified.
Tsunami Loads on Structural Walls, Fw – Section 6.10.2.3
Since tsunami bores are anticipated at this location, the lateral load on the structural walls given by Eqn. 6.10.2-4b must also be checked, and is given as:
𝐹𝑑 =3
4𝜌𝑠𝐼𝑡𝑠𝑢𝐶𝑑𝑏(ℎ𝑒𝑢2)
Where Cd = 2.0 for a wall per Table 6.10-2, and
b = 28’ and 10’ for the elevator and stairwell walls respectively.
Because the wall to inundation depth ratio must be three or more, the inundation depth is limited to 28’/3=9.33’. Therefore, h/hmax = 9.33/55 = 0.17. From Figure 6.8-1(a) and 6.8-1(b), the corresponding u/umax = 0.65. Therefore, u = (0.65)(35.8) = 23.3 fps. Therefore:
𝐹𝑑 =3
4× 2.2 × 1.0 × 2.0 × 28(9.33 × 23.32)/1000 = 468 𝑘𝑖𝑝𝑠
These loads are applied to the walls as a uniformly distributed load of 468/(9.33*28) = 1.79 kips/ft < 2.82 kips/ft over the lower 9.33 ft of a 1 ft section of wall. Therefore, bore loads will not control the hydrodynamic tsunami loading on the shear walls.
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Debris Impact Loads - Section 6.11
The inundation depth exceeds 3 feet, therefore exterior structural elements below the flow depth must be
Alternative Simplified Debris Impact Static Load - Section 6.11.1
In lieu of detailed debris impact analysis, the member can be designed for the maximum static load given by Eqn. 6.11.1-1:
𝐹𝑖 = 330𝐶𝑜𝐼𝑡𝑠𝑢 = 330 × 0.65 × 1.0 = 214.5 𝑘𝑖𝑝𝑠
Since the building location is in an impact zone for shipping containers, ships, and barges, this entire force is used, and cannot be reduced by 50%. This load must be applied to the exterior columns as a static lateral load at points critical for flexure and shear, in combination with gravity loads on the column. It is not combined with other tsunami loads and it need not be applied to interior columns.
In the event that this load exceeds the column capacity, a detailed debris impact analysis can be performed. This detailed analysis may result in a smaller debris impact load.
This equivalent static impact load of 214.5 kips must also be applied to any structural walls on the perimeter of the building. This applies to the 28 ft wide elevator walls on both exterior sides of the building (GLs A and D) since impact must be considered during inflow and outflow conditions
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Appendix B – ETABS Moment and Shear Diagrams
SEISMIC LOADING DIAGRAMS – SOIL D
Hilo Soil D– Elevator Shear Walls EW Seismic Loading (Moment Diagrams)
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Hilo Soil D – Elevator Shear Walls NS Seismic Loading (Moment Diagrams)
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Oahu Soil D– Elevator Shear Walls EW Seismic Loading (Moment Diagrams)
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Oahu Soil D – Elevator Shear Walls NS Seismic Loading (Moment Diagrams)
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Monterey Soil D – Elevator Shear Walls EW Seismic Loading (Moment Diagrams)
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Monterey Soil D – Elevator Shear Walls NS Seismic Loading (Moment Diagrams)
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Hilo Soil D – Stairwell Shear Walls EW Seismic Loading (Moment Diagrams)
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Hilo Soil D – Stairwell Shear Walls NS Seismic Loading (Moment Diagrams)
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Oahu Soil D – Stairwell Shear Walls EW Seismic Loading (Moment Diagrams)
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Oahu Soil D – Stairwell Shear Walls NS Seismic Loading (Moment Diagrams)
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Monterey Soil D – Stairwell Shear Walls EW Seismic Loading (Moment Diagrams)
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Monterey Soil D – Stairwell Shear Walls NS Seismic Loading (Moment Diagrams)
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Hilo Soil D – Elevator Shear Walls EW Seismic Loading (Shear Diagrams)
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Hilo Soil D – Elevator Shear Walls NS Seismic Loading (Shear Diagrams)
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Oahu Soil D – Elevator Shear Walls EW Seismic Loading (Shear Diagrams)
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Oahu Soil D – Elevator Shear Walls NS Seismic Loading (Shear Diagrams)
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Monterey Soil D – Elevator Shear Walls EW Seismic Loading (Shear Diagrams)
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Monterey Soil D – Elevator Shear Walls NS Seismic Loading (Shear Diagrams)
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Hilo Soil D – Stairwell Shear Walls EW Seismic Loading (Shear Diagrams)
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Hilo Soil D – Stairwell Shear Walls NS Seismic Loading (Shear Diagrams)
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Oahu Soil D – Stairwell Shear Walls EW Seismic Loading (Shear Diagrams)
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Oahu Soil D – Stairwell Shear Walls NS Seismic Loading (Shear Diagrams)
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Monterey Soil D – Stairwell Shear Walls EW Seismic Loading (Shear Diagrams)
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Monterey Soil D – Stairwell Shear Walls NS Seismic Loading (Shear Diagrams)
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SEISMIC LOADING DIAGRAMS – SOIL B
Hilo Soil B– Elevator Shear Walls EW Seismic Loading (Moment Diagrams)
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Hilo Soil B – Elevator Shear Walls NS Seismic Loading (Moment Diagrams)
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Oahu Soil B– Elevator Shear Walls EW Seismic Loading (Moment Diagrams)
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Oahu Soil B – Elevator Shear Walls NS Seismic Loading (Moment Diagrams)
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Hilo Soil B – Stairwell Shear Walls EW Seismic Loading (Moment Diagrams)
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Hilo Soil B – Stairwell Shear Walls NS Seismic Loading (Moment Diagrams)
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Oahu Soil B – Stairwell Shear Walls EW Seismic Loading (Moment Diagrams)
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Oahu Soil B – Stairwell Shear Walls NS Seismic Loading (Moment Diagrams)
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Hilo Soil B – Elevator Shear Walls EW Seismic Loading (Shear Diagrams)
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Hilo Soil B – Elevator Shear Walls NS Seismic Loading (Shear Diagrams)
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Oahu Soil B – Elevator Shear Walls EW Seismic Loading (Shear Diagrams)
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Oahu Soil B – Elevator Shear Walls NS Seismic Loading (Shear Diagrams)
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Hilo Soil B – Stairwell Shear Walls EW Seismic Loading (Shear Diagrams)
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Hilo Soil B – Stairwell Shear Walls NS Seismic Loading (Shear Diagrams)
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Oahu Soil B – Stairwell Shear Walls EW Seismic Loading (Shear Diagrams)
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Oahu Soil B – Stairwell Shear Walls NS Seismic Loading (Shear Diagrams)
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SEISMIC LOADING DIAGRAMS – SOIL D MOMENT FRAME
Hilo EW Seismic Loading – 24x28 Beams (Controlling Beam and Column Moment)
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Hilo EW Seismic Loading – 24x28 Beams (Controlling Beam Shear)
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Hilo NS Seismic Loading – 10’ Beams (Controlling Beam Moment)
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Hilo NS Seismic Loading – 10’ Beams (Controlling Column Moment)
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Hilo NS Seismic Loading – 10’ Beams (Controlling Beam Shear)
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Hilo NS Seismic Loading – 10’ Beams (Controlling Column Shear)
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Oahu EW Seismic Loading – 24x28 Beams (Controlling Beam and Column Moment)
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Oahu EW Seismic Loading – 24x24 Columns (Controlling Beam and Column Shear)
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Oahu NS Seismic Loading – 24x28 Beams (Controlling Beam Moment)
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Oahu NS Seismic Loading – 24x24 Columns (Controlling Column Moment)
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Oahu NS Seismic Loading – 24x28 Beams (Controlling Beam Shear)
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Oahu NS Seismic Loading – 24x24 Columns (Controlling Column Shear)
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SEISMIC LOADING DIAGRAMS – SOIL B MOMENT FRAME
Hilo EW Seismic Loading – 22x26 Beams (Controlling Beam and Column Moment)
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Hilo EW Seismic Loading – 22x26 Beams (Controlling Beam and Column Shear)
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Hilo NS Seismic Loading – 10’ Beams (Controlling Beam Moment)
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Hilo NS Seismic Loading – 10’ Beams (Controlling Column Moment)
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Hilo NS Seismic Loading – 10’ Beams (Controlling Beam Shear)
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Hilo NS Seismic Loading – 10’ Beams (Controlling Column Shear)
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Oahu EW Seismic Loading – 26x20 Beams (Controlling Beam and Column Moment)
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Oahu EW Seismic Loading – 20x20 Columns (Controlling Beam and Column Shear)
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Oahu NS Seismic Loading – 26x20 Beams (Controlling Beam Moment)
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Oahu NS Seismic Loading – 20x20 Columns (Controlling Column Moment)
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Oahu NS Seismic Loading – 26x20 Beams (Controlling Beam Shear)
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Oahu NS Seismic Loading – 20x20 Columns (Controlling Column Shear)
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TSUNAMI LOADING DIAGRAMS – MOMENT FRAME BUILDING
Hilo Office Building Tsunami Loading – (Controlling Beam Moment)
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Hilo Office Building Tsunami Loading – (Controlling Column Moment)
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Waikiki Office Building Tsunami Loading – (Controlling Beam Moment)
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Waikiki Office Building Tsunami Loading – (Controlling Column Moment)
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Hilo Office Building Tsunami Loading – (Controlling Beam Shear)
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Hilo Office Building Tsunami Loading – (Controlling Column Shear)
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Waikiki Office Building Tsunami Loading – (Controlling Beam Shear)
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Waikiki Office Building Tsunami Loading – (Controlling Column Shear)
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TSUNAMI LOADING DIAGRAMS – SHEAR WALL BUILDING
Hilo Residential Building Tsunami Loading – (Controlling Moment)
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Hilo Residential Building Tsunami Loading – (Controlling Shear)
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Waikiki Residential Building Tsunami Loading – (Controlling Moment)
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Waikiki Residential Building Tsunami Loading – (Controlling Shear)
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Appendix C – Energy Grade Line Transect Profile Plots
0.0
5.0
10.0
15.0
20.0
25.0
30.0
35.0
40.0
45.0
50.0
55.0
0 200 400 600 800 1000 1200 1400 1600 1800 2000 2200 2400 2600
Elev
atio
n (
m)
Distance to shore (m)
Transect Profile Plots - Hilo
22.5 Clockwise
Center
22.5 Counterclockwise
0.01.02.03.04.05.06.07.08.09.0
10.011.012.013.014.015.016.017.018.019.020.0
0 200 400 600 800 1000 1200 1400 1600 1800 2000 2200 2400 2600
Elev
atio
n (
m)
Distance to shore (m)
Transect Profile Plots - Waikiki
22.5 Clockwise
Center
22.5 Counterclockwise