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Response Modification Factor Formula

GoResponse Modification Factor by Velocity Dependent Structures Formula

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Response Modification Factor is the ratio of base shear that would be developed in the lateral load resisting system to the design base shear. Check FAQs

R = 1.2 \cdot \frac{C v}{C s \cdot T^{\frac{2}{3}}}

R - Response Modification Factor?C_v - Seismic Coefficient for Short Period Structures?C_s - Seismic Response Coefficient?T - Fundamental Period?

Response Modification Factor Example

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Here is how the Response Modification Factor equation looks like with Values.

Here is how the Response Modification Factor equation looks like with Units.

Here is how the Response Modification Factor equation looks like.

6.0331 = 1.2 \cdot \frac{0.54}{0.35 \cdot {0.17}^{\frac{2}{3}}}

6.0331 = 1.2 \cdot \frac{0.54}{0.35 \cdot {0.17s}^{\frac{2}{3}}}

6.0331 = 1.2 \cdot \frac{0.54}{0.35 \cdot {0.17}^{\frac{2}{3}}}

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Response Modification Factor Solution

Follow our step by step solution on how to calculate Response Modification Factor?

FIRST Step Consider the formula

R = 1.2 \cdot \frac{C v}{C s \cdot T^{\frac{2}{3}}}

Next Step Substitute values of Variables

∴

R = 1.2 \cdot \frac{0.54}{0.35 \cdot {0.17s}^{\frac{2}{3}}}

Next Step Prepare to Evaluate

∴

R = 1.2 \cdot \frac{0.54}{0.35 \cdot {0.17}^{\frac{2}{3}}}

Next Step Evaluate

∴

R = 6.03310680735612

LAST Step Rounding Answer

∴

R = 6.0331

Response Modification Factor Formula Elements

Variables

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.

Symbol: R

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Response Modification Factor

Seismic Coefficient for Short Period Structures

The Seismic Coefficient for Short Period Structures is for acceleration dependent structures.

Symbol: C_v

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Seismic Coefficient for Short Period 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.

Symbol: C_s

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Seismic Response Coefficient

Fundamental Period

Fundamental Period is the time taken for one complete oscillation (back-and-forth) by the building.

Symbol: T

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Fundamental Period

Other Formulas to find Response Modification Factor

Go Response Modification Factor by Velocity Dependent Structures

R = 2.5 \cdot \frac{C a}{C s}

Other formulas in Seismic Loads category

Go Total Lateral Force Acting in Direction of each of Principal Axis

V = C s \cdot W

Go Seismic Response Coefficient given Base Shear

C s = \frac{V}{W}

Go Total Dead Load given Base Shear

W = \frac{V}{C s}

Go Seismic Response Coefficient given Fundamental Period

C s = 1.2 \cdot \frac{C v}{R \cdot T^{\frac{2}{3}}}

How to Evaluate Response Modification Factor?

Response Modification Factor evaluator uses Response Modification Factor = 1.2*Seismic Coefficient for Short Period Structures/(Seismic Response Coefficient*Fundamental Period^(2/3)) to evaluate 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 evaluate Response Modification Factor using this online evaluator? To use this online evaluator 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.

FAQs on Response Modification Factor

What is the formula to find Response Modification Factor?

The formula of Response Modification Factor is expressed as Response Modification Factor = 1.2*Seismic Coefficient for Short Period Structures/(Seismic Response Coefficient*Fundamental Period^(2/3)). Here is an example- 6.033107 = 1.2*0.54/(0.35*0.17^(2/3)).

How to calculate Response Modification Factor?

With Seismic Coefficient for Short Period Structures (C_v), Seismic Response Coefficient (C_s) & Fundamental Period (T) we can find Response Modification Factor using the formula - Response Modification Factor = 1.2*Seismic Coefficient for Short Period Structures/(Seismic Response Coefficient*Fundamental Period^(2/3)).

What are the other ways to Calculate Response Modification Factor?

Here are the different ways to Calculate Response Modification Factor-

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

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Response Modification Factor Formula

​GoResponse Modification Factor by Velocity Dependent Structures Formula

Response Modification Factor Example

Response Modification Factor Solution

Response Modification Factor Formula Elements

Other Formulas to find Response Modification Factor

Other formulas in Seismic Loads category

How to Evaluate Response Modification Factor?

FAQs on Response Modification Factor

Variable Name

GoResponse Modification Factor by Velocity Dependent Structures Formula