Seismic Response Coefficient given Fundamental Period Calculator

✖The Seismic Coefficient for Short Period Structures is for acceleration dependent structures.ⓘ Seismic Coefficient for Short Period Structures [C_v]			+10% -10%
✖Response Modification Factor is the ratio of base shear that would be developed in the lateral load resisting system to the design base shear.ⓘ Response Modification Factor [R]			+10% -10%
✖Fundamental Period is the time taken for one complete oscillation (back-and-forth) by the building.ⓘ Fundamental Period [T]			+10% -10%

✖Seismic Response Coefficient calculates reduced design seismic forces of structural system and deflection amplification factor to convert elastic lateral displacements to total lateral displacements.ⓘ Seismic Response Coefficient given Fundamental Period [C_s]

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Seismic Response Coefficient given Fundamental Period Solution

STEP 0: Pre-Calculation Summary

Formula Used

Seismic Response Coefficient = 1.2*Seismic Coefficient for Short Period Structures/(Response Modification Factor*Fundamental Period^(2/3))
C_s = 1.2*C_v/(R*T^(2/3))
This formula uses 4 Variables

Variables Used

Seismic Response Coefficient - Seismic Response Coefficient calculates reduced design seismic forces of structural system and deflection amplification factor to convert elastic lateral displacements to total lateral displacements.
Seismic Coefficient for Short Period Structures - The Seismic Coefficient for Short Period Structures is for acceleration dependent structures.
Response Modification Factor - Response Modification Factor is the ratio of base shear that would be developed in the lateral load resisting system to the design base shear.
Fundamental Period - (Measured in Second) - Fundamental Period is the time taken for one complete oscillation (back-and-forth) by the building.

STEP 1: Convert Input(s) to Base Unit

Seismic Coefficient for Short Period Structures: 0.54 --> No Conversion Required
Response Modification Factor: 6 --> No Conversion Required
Fundamental Period: 0.17 Second --> 0.17 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_s = 1.2*C_v/(R*T^(2/3)) --> 1.2*0.54/(6*0.17^(2/3))

Evaluating ... ...

C_s = 0.351931230429107

STEP 3: Convert Result to Output's Unit

0.351931230429107 --> No Conversion Required

FINAL ANSWER

0.351931230429107 ≈ 0.351931 <-- Seismic Response Coefficient

(Calculation completed in 00.004 seconds)

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Created by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

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National Institute of Technology Karnataka (NITK), Surathkal

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< Seismic Loads Calculators

Seismic Response Coefficient given Fundamental Period

LaTeX Go Seismic Response Coefficient = 1.2*Seismic Coefficient for Short Period Structures/(Response Modification Factor*Fundamental Period^(2/3))

Total Lateral Force Acting in Direction of each of Principal Axis

LaTeX Go Lateral Force = Seismic Response Coefficient*Total Dead Load

Seismic Response Coefficient given Base Shear

LaTeX Go Seismic Response Coefficient = Lateral Force/Total Dead Load

Total Dead Load given Base Shear

LaTeX Go Total Dead Load = Lateral Force/Seismic Response Coefficient

Seismic Response Coefficient given Fundamental Period Formula

LaTeX Go

Seismic Response Coefficient = 1.2*Seismic Coefficient for Short Period Structures/(Response Modification Factor*Fundamental Period^(2/3))
C_s = 1.2*C_v/(R*T^(2/3))

What is the Response Coefficient?

The response modification coefficient (R) is used to calculate the reduced design seismic forces of a structural system, and the deflection amplification factor (Cd) to convert elastic lateral displacements to total lateral displacements.

How to Calculate Seismic Response Coefficient given Fundamental Period?

Seismic Response Coefficient given Fundamental Period calculator uses Seismic Response Coefficient = 1.2*Seismic Coefficient for Short Period Structures/(Response Modification Factor*Fundamental Period^(2/3)) to calculate the Seismic Response Coefficient, The Seismic response Coefficient given Fundamental Period formula calculates the seismic response coefficient when we have a prior info of the fundamental period. Seismic Response Coefficient is denoted by C_s symbol.

How to calculate Seismic Response Coefficient given Fundamental Period using this online calculator? To use this online calculator for Seismic Response Coefficient given Fundamental Period, enter Seismic Coefficient for Short Period Structures (C_v), Response Modification Factor (R) & Fundamental Period (T) and hit the calculate button. Here is how the Seismic Response Coefficient given Fundamental Period calculation can be explained with given input values -> 0.351931 = 1.2*0.54/(6*0.17^(2/3)).

FAQ

What is Seismic Response Coefficient given Fundamental Period?

The Seismic response Coefficient given Fundamental Period formula calculates the seismic response coefficient when we have a prior info of the fundamental period and is represented as C_s = 1.2*C_v/(R*T^(2/3)) or Seismic Response Coefficient = 1.2*Seismic Coefficient for Short Period Structures/(Response Modification Factor*Fundamental Period^(2/3)). The Seismic Coefficient for Short Period Structures is for acceleration dependent structures, Response Modification Factor is the ratio of base shear that would be developed in the lateral load resisting system to the design base shear & Fundamental Period is the time taken for one complete oscillation (back-and-forth) by the building.

How to calculate Seismic Response Coefficient given Fundamental Period?

The Seismic response Coefficient given Fundamental Period formula calculates the seismic response coefficient when we have a prior info of the fundamental period is calculated using Seismic Response Coefficient = 1.2*Seismic Coefficient for Short Period Structures/(Response Modification Factor*Fundamental Period^(2/3)). To calculate Seismic Response Coefficient given Fundamental Period, you need Seismic Coefficient for Short Period Structures (C_v), Response Modification Factor (R) & Fundamental Period (T). With our tool, you need to enter the respective value for Seismic Coefficient for Short Period Structures, Response Modification Factor & Fundamental Period and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Seismic Response Coefficient?

In this formula, Seismic Response Coefficient uses Seismic Coefficient for Short Period Structures, Response Modification Factor & Fundamental Period. We can use 2 other way(s) to calculate the same, which is/are as follows -

Seismic Response Coefficient = Lateral Force/Total Dead Load
Seismic Response Coefficient = 2.5*Seismic Coefficient for Velocity Dependent/Response Modification Factor

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