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Fundamental Period given Seismic Response Coefficient Formula

GoFundamental Period for Steel Frames Formula

GoFundamental Period for Reinforced Concrete Frames Formula

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

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

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

Fundamental Period given Seismic Response Coefficient Example

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

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

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

0.1714 = {(1.2 \cdot \frac{0.54}{6 \cdot 0.35})}^{\frac{3}{2}}

0.1714s = {(1.2 \cdot \frac{0.54}{6 \cdot 0.35})}^{\frac{3}{2}}

0.1714 = {(1.2 \cdot \frac{0.54}{6 \cdot 0.35})}^{\frac{3}{2}}

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Fundamental Period given Seismic Response Coefficient Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

T = {(1.2 \cdot \frac{0.54}{6 \cdot 0.35})}^{\frac{3}{2}}

Next Step Prepare to Evaluate

∴

T = {(1.2 \cdot \frac{0.54}{6 \cdot 0.35})}^{\frac{3}{2}}

Next Step Evaluate

∴

T = 0.171408978472175s

LAST Step Rounding Answer

∴

T = 0.1714s

Fundamental Period given Seismic Response Coefficient Formula Elements

Variables

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

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

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

Other Formulas to find Fundamental Period

Go Fundamental Period for Steel Frames

T = 0.035 \cdot {h n}^{\frac{3}{4}}

Go Fundamental Period for Reinforced Concrete Frames

T = 0.03 \cdot {h n}^{\frac{3}{4}}

Go Fundamental Period for Steel Eccentrically Braced Frames

T = 0.03 \cdot {h n}^{\frac{3}{4}}

Go Fundamental Period for other Buildings

T = 0.02 \cdot {h n}^{\frac{3}{4}}

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 Fundamental Period given Seismic Response Coefficient?

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

How to evaluate Fundamental Period given Seismic Response Coefficient using this online evaluator? To use this online evaluator for Fundamental Period given Seismic Response Coefficient, enter Seismic Coefficient for Short Period Structures (C_v), Response Modification Factor (R) & Seismic Response Coefficient (C_s) and hit the calculate button.

FAQs on Fundamental Period given Seismic Response Coefficient

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

The formula of Fundamental Period given Seismic Response Coefficient is expressed as Fundamental Period = (1.2*Seismic Coefficient for Short Period Structures/(Response Modification Factor*Seismic Response Coefficient))^(3/2). Here is an example- 0.171409 = (1.2*0.54/(6*0.35))^(3/2).

How to calculate Fundamental Period given Seismic Response Coefficient?

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

What are the other ways to Calculate Fundamental Period?

Here are the different ways to Calculate Fundamental Period-

Fundamental Period=0.035*Height of Building^(3/4)
Fundamental Period=0.03*Height of Building^(3/4)
Fundamental Period=0.03*Height of Building^(3/4)

Can the Fundamental Period given Seismic Response Coefficient be negative?

No, the Fundamental Period given Seismic Response Coefficient, measured in Time cannot be negative.

Which unit is used to measure Fundamental Period given Seismic Response Coefficient?

Fundamental Period given Seismic Response Coefficient is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Fundamental Period given Seismic Response Coefficient can be measured.

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Fundamental Period given Seismic Response Coefficient Formula

​GoFundamental Period for Steel Frames Formula

​GoFundamental Period for Reinforced Concrete Frames Formula

Fundamental Period given Seismic Response Coefficient Example

Fundamental Period given Seismic Response Coefficient Solution

Fundamental Period given Seismic Response Coefficient Formula Elements

Other Formulas to find Fundamental Period

Other formulas in Seismic Loads category

How to Evaluate Fundamental Period given Seismic Response Coefficient?

FAQs on Fundamental Period given Seismic Response Coefficient

Variable Name

GoFundamental Period for Steel Frames Formula

GoFundamental Period for Reinforced Concrete Frames Formula