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Pershing Square Shake Table Table of Contents
Pershing Square, Los Angeles
σ Degenkolb Engineers Pershing Square Shake Table 1
Table of Contents
1. INTRODUCTION ................................................................................................................. 2
2. SITE PLAN ............................................................................................................................ 3
3. SUMMARY OF FINDINGS ................................................................................................. 5
APPENDIX A. CALCULATIONS ......................................................................................... 6
APPENDIX B. SHAKE TABLE SPECIFICATIONS ........................................................ 24
Pershing Square Shake Table Introduction
Pershing Square, Los Angeles
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1. Introduction
This report summarizes the findings of the Structural Engineer’s study of the feasibility of temporarily installing an earthquake shake table in Pershing Square. It has been determined that the existing structural system has the capacity to support the proposed earthquake shake table installation.
Analysis of the existing structural slab was undertaken in accordance with the provisions set forth in ACI 318-05, chapter 13. If placed within the location set forth in the attached site plan, the existing structure will be sufficient to support the additional load associated with the earthquake shake table.
Pershing Square Shake Table Site Plan
Pershing Square, Los Angeles
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2. Site Plan
Figure 1: Site Plan
Pershing Square Shake Table Site Plan
Pershing Square, Los Angeles
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Figure 2: Site Plan Detail
Pershing Square Shake Table Summary of Findings Pershing Square, Los Angeles
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3. Summary of Findings
The existing two‐way slab was analyzed in accordance with ACI 318 Section 13. The total static moment was distributed positive and negative factored moments as well as between column and middle strips in accordance with section 13.6. Because the permitted shake table footprint affects only the X‐column strip (E‐W direction) and the Y‐middle strip (N‐S direction), only these design strips were deemed crucial to evaluating the feasibility of the installation.
Moment Capacity φMn (kip‐ft)
Moment Demand (kip‐ft)
Static Moment (kip‐ft)
Numerical Difference (kip‐ft)
Reserve Capacity (kip‐ft)
% Moment to be redist
Direction Negative Positive Negative Positive Negative Positive X‐Column Strip 1091 238.6 674.5 290.6 965.1 416.5 ‐52 364.5 5.4%Y‐Middle Strip 326.3 280.5 224.8 193.7 418.5 101.5 86.8 188.3 N/A
Table 1: Summary of Results for Flexural Action
It can be seen that while the positive moment demand in the X‐column strip exceeds the capacity, there is sufficient reserve capacity to redistribute the remaining moment, as permitted by ACI 318 Section 13.6
One Way Shear Capacity (kip)
One Way Shear Demand (kip)
Demand/Capacity Ratio
507.2 212 42%
Table 2: Summary of Results for One Way Shear Action
Two Way Shear Capacity (psi)
Two Way Shear Demand (psi)
Demand/Capacity Ratio
Critical Section 1 189.7 128 67% Critical Section 2 189.7 46 24%
Table 3: Summary of Results for Two Way Shear Action
Pershing Square Shake Table Appendix A: Calculations
Pershing Square, Los Angeles
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Appendix A. Calculations
Pershing Square Shake Table Appendix A: Calculations
Pershing Square, Los Angeles
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Figure A1: Typical Roof Slab Bay
Pershing Square Shake Table Appendix A: Calculations
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Pershing Square Shake Table Appendix A: Calculations
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Pershing Square Shake Table Appendix A: Calculations
Pershing Square, Los Angeles
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Pershing Square Shake Table Appendix A: Calculations
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Pershing Square Shake Table Appendix A: Calculations
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Pershing Square Shake Table Appendix A: Calculations
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Pershing Square Shake Table Appendix A: Calculations
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Pershing Square Shake Table Appendix A: Calculations
Pershing Square, Los Angeles
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Pershing Square Shake Table Appendix A: Calculations
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Pershing Square Shake Table Appendix A: Calculations
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Pershing Square Shake Table Appendix A: Calculations
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Pershing Square Shake Table Appendix A: Calculations
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Pershing Square Shake Table Appendix A: Calculations
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Pershing Square Shake Table Appendix A: Calculations
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Pershing Square Shake Table Appendix A: Calculations
Pershing Square, Los Angeles
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Pershing Square Shake Table Appendix A: Calculations
Pershing Square, Los Angeles
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Pershing Square Shake Table Appendix B: Shake Table Specifications
Pershing Square, Los Angeles
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Appendix B. Shake Table Specifications
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