hw=3.2 mts, wembedment=.6mt, seismic
TRANSCRIPT
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TensarEarth Retaining Structures
Design Analysis
Output from TensarSoil Version 2.04
Calculations in accordance with: Demo 82 (FHWA 1997) (seismic loading)
Client: Odebrecht
Project: Carretera Constanza-JarabacoaSometido para aprobacin 10 feb. 2011
H=4mts, Embedment=1mts, Slope at toe, Aceleracin Ssmica (a) =.2g.
TensarEarth RetainingStructure
Mesa Std Connector
IMPORTANTNOTES(Preliminary/ConceptualDesign)
(1) This printout contains an Application Suggestion which hasbeen prepared by a Tensaraffiliate or by LICENSEEto enablethe application of TensarGeogrids to beevaluatedby a qualified andexperience professionalengineer. Thecalculations are derived from a standardizedsoftware program which generally follows AASHTO orNCMA design methodologies andwhichhas been modified to incorporate certain properties of Tensar products.
(2) This printout provides certain limited information for preliminary or conceptual designonly, anddoes notitself constitute a designor plan suitable for construction. A finalengineered designand plan, with drawings andinstallation details andconstructionrequirements,signed andsealed by a registered professionalengineer, is required priorto actual construction.
(3) Any mechanically-stabilized earthstructureinvolves various engineering, design, material, construction and end-use considerations.Many of theseare site specific, such
as (but notlimited to) terrain andgrading,watertable,the natureand strengthof thefoundationand backfill soils, thequality andcompaction of thebackfill, surface andsubsurface water control anddrainage, thepresence of utilities andotherelementsin or aroundthe structure, useof proper equipmentand constructionpractices duringinstallation, neighboringconstructionactivity, load factors, other environmental factors and the like. Final determinationof the suitability of any information or material for theusecontemplated andthe mannerof useis thesole responsibility of theuser andits professionaladvisors, whomust assumeall risk andliability in connection therewith.Tensarassumes no responsibility or liability to therecipient or anythird party for thewhole or any part of thecontentof anyApplication Suggestion or other work product.
Tensaris a registered trademark.
Method ofanalysis
The calculation method used in this Design Analysis is the tie-back wedge method for MSE walls given inChapter 4 of Mechanically Stabilized Earth Walls and Reinforced Soil Slopes, Design & ConstructionGuidelines, Federal Highway Administration, Demonstration Project 82, Publication No FHWA-SA-96-071(August, 1997).
Reference Date PageFeb 10 2011 1 of 9
Design analysisprepared by
Designer
.
Tensar International Corporation Atlanta Office
5883 Glenridge Drive, Suite 200
Tel: +1 404 2501290 Atlanta
Fax: +1 404 2509185 GA 30328
E-mail: [email protected] United States of America
www.tensar-international.com
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TensarEarth Retaining Structures
Design Analysis
TensarSoil Version 2.04
Calculations in accordance with: Demo 82 (FHWA 1997) (seismic loading)
Reference Date PageFeb 10 2011 2 of 9
Input data and Section Project: Carretera Constanza-Jarabacoa
1
90 90
30
0.60
1.20
3.20
3.00
Datum
Tensar earth retaining structure Mesa Std Connector
All dimensions in metres Scale 1:50Seismic loading case
Fill/foundationpropertiesDesign soilstrengthparameters arepeak values
Soil zone c' ' bulk
(kN/m) () (kN/m)
Reinforced soil 0.0 30.0 19.0
Retained soil 5.0 35.0 19.0
Foundation soil 5.0 30.0 17.6
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TensarEarth Retaining Structures
Design Analysis
TensarSoil Version 2.04
Calculations in accordance with: Demo 82 (FHWA 1997) (seismic loading)
Reference Date PageFeb 10 2011 3 of 9
Seismicdesign datag =accelerationdue to gravity
Input Limiting External mechanisms Internal mechanismsdeformation
Ah= 0.20g 50 mm kh(ext) = 0.11g kh(int) = 0.25g
Av= 0.00g 50 mm kv(ext) = 0.00g kv(int) = 0.00g
Vertical accelerations may act either downwards or upwards
Soil-geogridinteractionfactors
Sliding coefficient Cds Pullout scale factor0.80 1.00
Pullout coefficient Ciis given in
reinforcement layout table
Surchargesx values aremeasured from thetop of thereinforced fillblock.
No Load acts from x (m) To x (m) Load (kN/m) Live load/Dead load
1 0.01 6.01 12 Live load
Waterpressure data
Location Height of water level above datum (m) r u
In front of structure No water pressures
Within fill No water pressures NA
Externalstabilityresults
Mechanism Result Min/Max Critical load case OK?
Eccentricity 0.500 m max0.049 m Static OK
Overturning OK2.00 minFS = 15.66 Static
Sliding on base 1.50 minFS = 5.12 Static OK
Bearing capacity 2.500 minFS = 7.132 Static OK
Internalstabilityresults
Mechanism OK? Mechanism OK?
Rupture check OK Pullout check OK
Internal sliding OK Connection check OK
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TensarEarth Retaining Structures
Design Analysis
TensarSoil Version 2.04
Calculations in accordance with: Demo 82 (FHWA 1997) (seismic loading)
Reference Date PageFeb 10 2011 4 of 9
ReinforcementlayoutStarting andfinishing levelsare related todatum
Tensar No of Starting Vertical Finishing Coverage Cigeogrid layers level (m) spacing (m) level (m) (%)
UX1400MSE 1 3.00 - - 100 0.80
UX1400MSE 1 2.60 - - 100 0.80
UX1400MSE 1 2.00 - - 100 0.80
UX1500MSE 2 0.80 0.60 1.40 100 0.80
UX1500MSE 1 0.20 - - 100 0.80
Requiredminimumfactors ofsafety
As given inChapter 2.7and Chapter4.3 d & e (forseismic internal& connection)
Mechanism Static loading Seismic loading
Eccentricity e
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TensarEarth Retaining Structures
Design Analysis
TensarSoil Version 2.04
Calculations in accordance with: Demo 82 (FHWA 1997) (seismic loading)
Reference Date PageFeb 10 2011 5 of 9
Detailed calculation resultsThe following tables provide the detailed results from the design Analysis, including geogrid design data, together with bothexternal and internal analysis results.
Geogrid reinforcement design dataGeogrid strength is calculated following Chapter 3.5 Section b (geosynthetic reinforcement).Connection data given below is defined in Chapter 4.3 Section e and the values given are for thefacing system indicated on Page 2.
Design temperature (C) Design life (years)20 120
Tensar Ultimate Creep Durability Installation FS Design Connection datageogrid strength factor factor damage strength
(kN/m) (kN/m)
TaTul t CRs CRuRFcr RFd RF id
UX1400MSE 70.00 1.10 1.10 1.502.60 22.28 0.27 1.00UX1500MSE 114.00 1.10 1.10 1.502.60 36.29 0.27 1.00
Geogrid coordinates and design dataLevels are measured from the datum and horizontal location is measured from the toe of the wall
Tensar Level Left end Right end Length Coverage Pullout interactionGeogrid (m) (m) (m) (m) % factor Ci
UX1400MSE 3.000 0.303 4.024 3.821 100.0 0.800UX1400MSE 2.600 0.300 3.020 2.821 100.0 0.800UX1400MSE 2.000 0.295 3.016 2.821 100.0 0.800UX1500MSE 1.400 0.290 3.011 2.821 100.0 0.800
UX1500MSE 0.800 0.285 3.006 2.821 100.0 0.800UX1500MSE 0.200 0.281 3.002 2.821 100.0 0.800
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TensarEarth Retaining Structures
Design Analysis
TensarSoil Version 2.04
Calculations in accordance with: Demo 82 (FHWA 1997) (seismic loading)
Reference Date PageFeb 10 2011 6 of 9
External stability - unfactored calculated forces
Forces are calculated as per Chapter 4.2 for both static and seismic loading.
Note: negative forces are upwards
Loading direction Units Vertical Horizontal
Static force components
Forces in or above reinforced block:Soil mass kN/m 165.424Facing kN/m 11.597Dead loads kN/m 0.000Live loads kN/m 32.499
Forces behind reinforced block:From soil kN/m -0.073 9.346
From dead loads kN/m 0.000 0.000From live loads kN/m -0.081 10.292
Additional force components due to seismic loading
Forces in or above reinforced block:Soil mass kN/m 0.000 8.869Facing kN/m 0.000 1.281Dead loads kN/m 0.000 0.000Live loads kN/m 0.000 0.000
Forces behind reinforced block:From soil kN/m -0.024 3.016From dead loads kN/m 0.000 0.000From live loads kN/m 0.000 0.000
External stability - eccentricity and overturning
Calculations carried out as per Chapter 4.2 Section d, to establish eccentricity for static loading and
Section h for seismic loading. In addition an overturning calculation is carried out.
Calculation Units Static loading Seismic loading
Total vertical load on base kN/m 176.867 176.924Total moment on base about centreline kNm/m 8.608 14.052Eccentricity m 0.049 0.079
Maximum permitted m 0.500 1.000
OK? OK OK
Driving moment about toe kNm/m 17.515 23.079Restoring moment about toe
kNm/m 274.208 274.413FS (overturning) 15.656 11.890
Requirement 2.00 1.50
OK? OK OK
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TensarEarth Retaining Structures
Design Analysis
TensarSoil Version 2.04
Calculations in accordance with: Demo 82 (FHWA 1997) (seismic loading)
Reference Date PageFeb 10 2011 7 of 9
External stability - sliding
Calculations carried out as per Chapter 4.2 Section e for static loading and Section h for seismic
loading.
Calculation Units Static loading Seismic loading
Horizontal driving force kN/m 19.638 22.512Horizontal resisting force kN/m 102.114 102.147FS (sliding) 5.200 4.538
Requirement 1.50 1.13
OK? OK OK
Additional sliding check
For inclined structures an additional sliding check is carried out with the back of the reinforced soil
block defined by a series of steeper lines until the lowest FS value is obtained.
Critical inclination of wall back deg 90.000 90.000Horizontal driving force kN/m 20.110 22.874Horizontal resisting force kN/m 102.951 102.951FS (sliding) 5.119 4.501
Requirement 1.50 1.13
OK? OK OK
External stability - bearing capacity check
Calculations carried out as per Chapter 4.2 Section f for static loading and Section h for seismic
loading, using Meyerhof load distribution to take into account eccentricity. The effect of load
inclination is omitted in accordance with Chapter 3.4 Section a.
Calculation Units Static loading Seismic loading
Total vertical load on base kN/m 209.366 176.924Total horizontal load on base kN/m 19.638 22.512Total moment on base about centreline kNm/m 3.050 14.052Factor Nc 24.912 24.912
Factor Nq 15.401 15.401
Factor N 14.420 14.420
Effective length L' m 2.971 2.841Ultimate bearing pressure kN/m 502.630 486.124Applied bearing pressure kN/m 70.473 62.272FS (bearing capacity) 7.132 7.806
Requirement 2.50 1.875OK? OK OK
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TensarEarth Retaining Structures
Design Analysis
TensarSoil Version 2.04
Calculations in accordance with: Demo 82 (FHWA 1997) (seismic loading)
Reference Date PageFeb 10 2011 8 of 9
Internal stability - static loadingCalculations carried out as per Chapter 4.3 Section b (tension check), Section c (pullout check) andSection e (connection check).
Geogrid Data Factor of safety
Tensar Level Length Sv Cov Ta Tmax FS FSpo FScon FScongeogrid (m) (m) (m) % (kN/m) (kN/m) tension pullout rupture pullout
UX1400MSE 3.00 3.82 0.40 100 22.28 2.10 FS10.61 3.36 11.68 9.00UX1400MSE 2.60 2.82 0.50 100 22.28 4.05 FS5.50 3.23 6.05 4.67UX1400MSE 2.00 2.82 0.60 100 22.28 6.95 FS3.21 4.79 3.53 2.72UX1500MSE 1.40 2.82 0.60 100 36.29 9.23 FS3.93 6.58 4.33 3.34UX1500MSE 0.80 2.82 0.60 100 36.29 11.51 FS3.15 8.29 3.47 2.67UX1500MSE 0.20 2.82 0.50 100 36.29 11.33 FS3.20 12.11 3.52 2.72
Minimum requirement 1.5 1.5 1.5 1.5
Internal stability - seismic loadingCalculations carried out as per Chapter 4.3 Section d (seismic check, both tension and pullout) andSection e (connection check for seismic).
Geogrid Data Factor of safety
Tensar Level Length Sv Cov Ta Tmax Tmd FS FSpo FScon FScongeogrid (m) (m) (m) % (kN/m) (kN/m) (kN/m) tension pullout rupture pullout
UX1400MSE 3.00 3.82 0.40 100 22.28 0.51 2.40 15.585 1.946 18.21 5.21UX1400MSE 2.60 2.82 0.50 100 22.28 2.06 1.48 8.482 2.955 9.52 4.28UX1400MSE 2.00 2.82 0.60 100 22.28 4.56 1.88 4.216 4.136 4.70 2.35
UX1500MSE 1.40 2.82 0.60 100 36.29 6.84 2.29 4.699 5.324 5.22 2.70UX1500MSE 0.80 2.82 0.60 100 36.29 9.12 2.70 3.572 6.459 3.97 2.08UX1500MSE 0.20 2.82 0.50 100 36.29 9.34 3.10 3.444 8.823 3.83 1.98
Minimum requirement 1.125 1.125 1.1 1.1
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TensarEarth Retaining Structures
Design Analysis
TensarSoil Version 2.04
Calculations in accordance with: Demo 82 (FHWA 1997) (seismic loading)
Reference Date PageFeb 10 2011 9 of 9
Internal sliding check - sliding on geogrids
DEMO 82 does not include a specific requirement or definition for checking sliding on geogrids, socalculations are carried out as per the external check, Chapter 4.2 Section e for static loadingand Section h for seismic loading.
Geogrid Data Static loading Seismic loading
Tensar Level Cov Ci Driving Resisting FSSL Driving Resisting FSSLgeogrid (m) % forces forces Sliding forces forces Sliding
(kN/m) (kN/m) (kN/m) (kN/m)
UX1400MSE 3.00 100 0.800 0.16 15.55 100.00 0.16 15.55 100.00UX1400MSE 2.60 100 0.800 0.26 26.04 100.00 0.26 26.05 100.00UX1400MSE 2.00 100 0.800 1.25 41.77 33.33 1.62 41.78 25.84UX1500MSE 1.40 100 0.800 4.63 57.50 12.42 5.49 57.52 10.47UX1500MSE 0.80 100 0.800 9.84 73.22 7.44 11.42 73.24 6.41
UX1500MSE 0.20 100 0.800 16.88 88.93 5.27 19.40 88.96 4.59
Minimum requirement 1.5 1.125