a comparative study of static and response spectrum analysis of a rc building
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PRESENTATION ON
A Comparative Study of
Static and Response Spectrum Analysis
of a RC Building
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PRESENTED BYTAMEEM SAMDANEE 10.01.03.127
JOHINUL ALAM 10.01.03.036
MD. ZAHIDUL ISLAM 10.01.03.142
ABU SYED MD. TARIN 10.01.03.020
UNDER THE SUPERVISION OF ZASIAH TAFHEEM
ASSISTANT PROFESSORDEPARTMENT OF CIVIL ENGINEERING,
AUST
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To determine the natural period of vibrations for different mode shapes of the comprehensive 3D using modal analysis techniques.
To determine the storey-displacements and storey-drifts for each storey of a six storied building.
To determine the base shears of the building under seismic loading.
To determine the column shear forces and bending moments following the Equivalent Static Force Method (BNBC’93) and Response Spectrum Analysis (Dynamic) using a comprehensive 3D finite element software package ETABS v13.0
To make a comparative study of the results obtained from the static and dynamic analysis.
Objectives
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Methodology
In this study, a 3D symmetric model of a six-storied building has been created using ETABS V-13.0
The structure has a constant stiffness and a linear behavior of all material properties.
Equivalent Static Force Method (BNBC’93) has been used for static analysis.
Response Spectrum Method has been used for dynamic analysis.
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Earthquake
Earthquake is a series of vibrations induced in the earth’s crust by the abrupt rupture and rebound of rocks in which elastic strain has been slowly accumulating.
The release of the energy results in vibratory waves propagating through the surface in all directions.
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Factors affecting the earthquake performance of reinforced concrete structure:
Earthquake
Ductility Capacity Effects of Drifts P-Delta effect Effects of strong Beams and weak
Columns
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Static Analysis
Response Spectrum Analysis
Time History Method
Earthquake Analysis Techniques
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Earthquake Analysis Techniques
Static Analysis It assumes that the building responds
in its fundamental mode.
The building must be low-rise and must not twist significantly when the ground moves.
Generally determines the shear acting due to an earthquake as equivalent static base shear.
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Earthquake Analysis Techniques
Response Spectrum Analysis
The basic mode superposition method.
Restricted to linearly elastic analysis.
Produces the complete time history response of joint displacements and member forces.
Involves the calculation of only the maximum values of the displacements and member forces.
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Earthquake Analysis Techniques
Time History Method
It is an analysis of the dynamic response of the structure at each increment of time, when its base is subjected to a specific ground motion time history.
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Material PropertiesMaterial Name Parameter Values Unit
Concrete
Mass per unit volume 4.662 lb-s2/ft4
Weight per unit
volume
150 lb/ft3
Modulus of Elasticity 3604996.
5
psi
Poisson’s ratio 0.2
Concrete
compressive
strength,
3500 psi
Steel Steel yield strength, 60000 psi
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Section ID Section Size (in×in)
Corner Column 12×12
Ext. Column 14×14
Int. Column 17×17
Beam 16×12
Grade Beam, GB 16×12
Section Properties
Slab PropertiesSection name Thickness Type
SlabMembrane: 5"
Bending: 5"Shell
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3D View of the building
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Beam Layout
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Column Layout
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Deformed Shape (Static)
Due to EQX Load
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Deformed Shape (Dynamic)
Due to Response Spectrum
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Mode Name Time Period FrequenciesMode 1 2.436 0.41
Mode 2 2.34 0.42
Mode 3 2.29 0.43
Mode 4 0.704 1.42
Mode 5 0.679 1.47
Mode 6 0.657 1.52
Mode 7 0.374 2.67
Mode 8 0.359 2.78
Mode 9 0.351 2.84
Mode 10 0.245 4.08
Mode 11 0.233 4.29
Mode 12 0.231 4.32
Mode Shapes
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Mode Shapes
Mode- 1 Mode- 2
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Mode Shapes
Mode- 3 Mode- 4
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Mode Shapes
Mode- 5 Mode- 6
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Mode Shapes
Mode- 7 Mode- 8
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Mode Shapes
Mode- 9 Mode- 10
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Mode Shapes
Mode- 11 Mode- 12
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Comparative StudyStorey Displacements
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Comparative StudyStorey Drifts
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Comparative StudyMaximum Storey Displacement
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Comparative StudyBase Shears
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Comparative StudyShear Forces (Corner Columns)
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Comparative StudyShear Forces (Exterior Columns)
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Comparative StudyShear Forces (Interior Columns)
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Comparative StudyMaximum Shear Forces
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Comparative StudyTotal Shear Forces
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Comparative StudyBending Moments (Corner Columns)
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Comparative StudyBending Moments (Exterior Columns)
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Comparative StudyBending Moments (Interior Columns)
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Comparative StudyMaximum Column Bending Moments
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• In the study of Maximum displacement of storey comparison between static and dynamic, we find dynamic is 276 percent of static analysis.
• In the study of Storey drift comparison between static and dynamic, we find dynamic is 301 percent of static analysis.
• In the study of Maximum Bending moment of column, the percentage of dynamic is 204% for corner, 239% for exterior, 210% for interior of Static analysis.
• In the study of Maximum shear forces of columns, dynamic is almost 286 percent of static analysis for all columns.
Conclusion
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Dynamic analysis may be done by other methods.
Structures of nonlinear materials may be introduced for further analysis and design.
Irregular shaped structure may be introduced for further analysis and design.
Dynamic analysis may be introduced for further analysis and design.
Commercial buildings may be introduced for further analysis and design.
Recommendation
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THANK YOU