Response Modification Factor Calculator

✖The Seismic Coefficient for Short Period Structures is for acceleration dependent structures.ⓘ Seismic Coefficient for Short Period Structures [C_v]			+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 [C_s]			+10% -10%
✖Fundamental Period is the time taken for one complete oscillation (back-and-forth) by the building.ⓘ Fundamental Period [T]			+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]

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Response Modification Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
Seismic Coefficient for Short Period Structures - The Seismic Coefficient for Short Period Structures is for acceleration dependent structures.
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.
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
Seismic Response Coefficient: 0.35 --> No Conversion Required
Fundamental Period: 0.17 Second --> 0.17 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R = 1.2*C_v/(C_s*T^(2/3)) --> 1.2*0.54/(0.35*0.17^(2/3))

Evaluating ... ...

R = 6.03310680735612

STEP 3: Convert Result to Output's Unit

6.03310680735612 --> No Conversion Required

FINAL ANSWER

6.03310680735612 ≈ 6.033107 <-- Response Modification Factor

(Calculation completed in 00.020 seconds)

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Created by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

Mridul Sharma has created this Calculator and 200+ more calculators!

Verified by M Naveen

National Institute of Technology (NIT), Warangal

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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

Response Modification Factor Formula

LaTeX Go

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

What is Response Modification Factor?

The response modification factor is defined as the ratio of the base shear that would be developed in the lateral load resisting system for design earthquake ground motions if the system was to behave elastically to the design base shear

How to Calculate Response Modification Factor?

Response Modification Factor calculator uses Response Modification Factor = 1.2*Seismic Coefficient for Short Period Structures/(Seismic Response Coefficient*Fundamental Period^(2/3)) to calculate the Response Modification Factor, The Response Modification Factor is defined as the response modification factor when we have a prior info of factors affecting it like fundamental period, seismic coefficient for short period structures etc. Response Modification Factor is denoted by R symbol.

How to calculate Response Modification Factor using this online calculator? To use this online calculator for Response Modification Factor, enter Seismic Coefficient for Short Period Structures (C_v), Seismic Response Coefficient (C_s) & Fundamental Period (T) and hit the calculate button. Here is how the Response Modification Factor calculation can be explained with given input values -> 6.033107 = 1.2*0.54/(0.35*0.17^(2/3)).

FAQ

What is Response Modification Factor?

The Response Modification Factor is defined as the response modification factor when we have a prior info of factors affecting it like fundamental period, seismic coefficient for short period structures etc and is represented as R = 1.2*C_v/(C_s*T^(2/3)) or Response Modification Factor = 1.2*Seismic Coefficient for Short Period Structures/(Seismic Response Coefficient*Fundamental Period^(2/3)). The Seismic Coefficient for Short Period Structures is for acceleration dependent structures, Seismic Response Coefficient calculates reduced design seismic forces of structural system and deflection amplification factor to convert elastic lateral displacements to total lateral displacements & Fundamental Period is the time taken for one complete oscillation (back-and-forth) by the building.

How to calculate Response Modification Factor?

The Response Modification Factor is defined as the response modification factor when we have a prior info of factors affecting it like fundamental period, seismic coefficient for short period structures etc is calculated using Response Modification Factor = 1.2*Seismic Coefficient for Short Period Structures/(Seismic Response Coefficient*Fundamental Period^(2/3)). To calculate Response Modification Factor, you need Seismic Coefficient for Short Period Structures (C_v), Seismic Response Coefficient (C_s) & Fundamental Period (T). With our tool, you need to enter the respective value for Seismic Coefficient for Short Period Structures, Seismic Response Coefficient & 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 Response Modification Factor?

In this formula, Response Modification Factor uses Seismic Coefficient for Short Period Structures, Seismic Response Coefficient & Fundamental Period. We can use 1 other way(s) to calculate the same, which is/are as follows -

Response Modification Factor = 2.5*Seismic Coefficient for Velocity Dependent/Seismic Response Coefficient

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