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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Formula

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Response Modification Factor

Formula

`"R" = 1.2*"C"_{"v"}/("C"_{"s"}*"T"^(2/3))`

Example

`"6.033107"=1.2*"0.54"/("0.35"*("0.170s")^(2/3))`

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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 00.004 seconds)

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Credits

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

M Naveen has verified this Calculator and 900+ more calculators!

< 21 Seismic Loads Calculators

Fundamental Period given Seismic Response Coefficient

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

Seismic Coefficient for Short Period Structures

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

Seismic Response Coefficient given Fundamental Period

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

Response Modification Factor

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

Seismic Response Coefficient given Seismic Coefficient for Velocity Dependent Structures

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

Response Modification Factor by Velocity Dependent Structures

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

Seismic Coefficient for Velocity Dependent Structures

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

Vertical Distribution Factor given Lateral Force

Go Vertical Distribution Factor = Lateral Seismic Force/Lateral Force

Lateral Seismic Force

Go Lateral Seismic Force = Vertical Distribution Factor*Lateral Force

Lateral Force

Go Lateral Force = Lateral Seismic Force/Vertical Distribution Factor

Total Lateral Force Acting in Direction of each of Principal Axis

Go Lateral Force = Seismic Response Coefficient*Total Dead Load

Seismic Response Coefficient given Base Shear

Go Seismic Response Coefficient = Lateral Force/Total Dead Load

Total Dead Load given Base Shear

Go Total Dead Load = Lateral Force/Seismic Response Coefficient

Building Height for Steel Frame given Fundamental Period

Go Height of Building = (Fundamental Period/0.035)^(4/3)

Building Height for Steel Eccentrically Braced Frames given Fundamental Period

Go Height of Building = (Fundamental Period/0.03)^(4/3)

Building Height for Reinforced Concrete Frames given Fundamental Period

Go Height of Building = (Fundamental Period/0.03)^(4/3)

Building Height for other Buildings given Fundamental Period

Go Height of Building = (Fundamental Period/0.02)^(4/3)

Fundamental Period for Steel Frames

Go Fundamental Period = 0.035*Height of Building^(3/4)

Fundamental Period for Steel Eccentrically Braced Frames

Go Fundamental Period = 0.03*Height of Building^(3/4)

Fundamental Period for Reinforced Concrete Frames

Go Fundamental Period = 0.03*Height of Building^(3/4)

Fundamental Period for other Buildings

Go Fundamental Period = 0.02*Height of Building^(3/4)

Response Modification Factor Formula

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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