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Seismic Response Coefficient given Fundamental Period Formula

GoSeismic Response Coefficient given Base Shear Formula

GoSeismic Response Coefficient given Seismic Coefficient for Velocity Dependent Structures Formula

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Seismic Response Coefficient calculates reduced design seismic forces of structural system and deflection amplification factor to convert elastic lateral displacements to total lateral displacements. Check FAQs

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

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

Seismic Response Coefficient given Fundamental Period Example

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Here is how the Seismic Response Coefficient given Fundamental Period equation looks like with Values.

Here is how the Seismic Response Coefficient given Fundamental Period equation looks like with Units.

Here is how the Seismic Response Coefficient given Fundamental Period equation looks like.

0.3519 = 1.2 \cdot \frac{0.54}{6 \cdot {0.17}^{\frac{2}{3}}}

0.3519 = 1.2 \cdot \frac{0.54}{6 \cdot {0.17s}^{\frac{2}{3}}}

0.3519 = 1.2 \cdot \frac{0.54}{6 \cdot {0.17}^{\frac{2}{3}}}

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Seismic Response Coefficient given Fundamental Period Solution

Follow our step by step solution on how to calculate Seismic Response Coefficient given Fundamental Period?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

C s = 1.2 \cdot \frac{0.54}{6 \cdot {0.17s}^{\frac{2}{3}}}

Next Step Prepare to Evaluate

∴

C s = 1.2 \cdot \frac{0.54}{6 \cdot {0.17}^{\frac{2}{3}}}

Next Step Evaluate

∴

C s = 0.351931230429107

LAST Step Rounding Answer

∴

C s = 0.3519

Seismic Response Coefficient given Fundamental Period Formula Elements

Variables

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

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

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

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 Seismic Response Coefficient

Go Seismic Response Coefficient given Base Shear

C s = \frac{V}{W}

Go Seismic Response Coefficient given Seismic Coefficient for Velocity Dependent Structures

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

Other formulas in Seismic Loads category

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

V = C s \cdot W

Go Total Dead Load given Base Shear

W = \frac{V}{C s}

Go Seismic Coefficient for Short Period Structures

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

Go Response Modification Factor

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

How to Evaluate Seismic Response Coefficient given Fundamental Period?

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

FAQs on Seismic Response Coefficient given Fundamental Period

What is the formula to find Seismic Response Coefficient given Fundamental Period?

The formula of Seismic Response Coefficient given Fundamental Period is expressed as Seismic Response Coefficient = 1.2*Seismic Coefficient for Short Period Structures/(Response Modification Factor*Fundamental Period^(2/3)). Here is an example- 0.351931 = 1.2*0.54/(6*0.17^(2/3)).

How to calculate Seismic Response Coefficient given Fundamental Period?

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

What are the other ways to Calculate Seismic Response Coefficient?

Here are the different ways to Calculate Seismic Response Coefficient-

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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: Unit

Seismic Response Coefficient given Fundamental Period Formula

​GoSeismic Response Coefficient given Base Shear Formula

​GoSeismic Response Coefficient given Seismic Coefficient for Velocity Dependent Structures Formula

Seismic Response Coefficient given Fundamental Period Example

Seismic Response Coefficient given Fundamental Period Solution

Seismic Response Coefficient given Fundamental Period Formula Elements

Other Formulas to find Seismic Response Coefficient

Other formulas in Seismic Loads category

How to Evaluate Seismic Response Coefficient given Fundamental Period?

FAQs on Seismic Response Coefficient given Fundamental Period

Variable Name

GoSeismic Response Coefficient given Base Shear Formula

GoSeismic Response Coefficient given Seismic Coefficient for Velocity Dependent Structures Formula