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Seismic Coefficient for Short Period Structures Formula

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

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

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

Seismic Coefficient for Short Period Structures Example

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Here is how the Seismic Coefficient for Short Period Structures equation looks like with Values.

Here is how the Seismic Coefficient for Short Period Structures equation looks like with Units.

Here is how the Seismic Coefficient for Short Period Structures equation looks like.

0.537 = \frac{0.35 \cdot (6 \cdot {0.17}^{\frac{2}{3}})}{1.2}

0.537 = \frac{0.35 \cdot (6 \cdot {0.17s}^{\frac{2}{3}})}{1.2}

0.537 = \frac{0.35 \cdot (6 \cdot {0.17}^{\frac{2}{3}})}{1.2}

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Seismic Coefficient for Short Period Structures Solution

Follow our step by step solution on how to calculate Seismic Coefficient for Short Period Structures?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

C v = \frac{0.35 \cdot (6 \cdot {0.17s}^{\frac{2}{3}})}{1.2}

Next Step Prepare to Evaluate

∴

C v = \frac{0.35 \cdot (6 \cdot {0.17}^{\frac{2}{3}})}{1.2}

Next Step Evaluate

∴

C v = 0.537036738028488

LAST Step Rounding Answer

∴

C v = 0.537

Seismic Coefficient for Short Period Structures Formula Elements

Variables

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

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 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 Seismic Coefficient for Short Period Structures?

Seismic Coefficient for Short Period Structures evaluator uses Seismic Coefficient for Short Period Structures = (Seismic Response Coefficient*(Response Modification Factor*Fundamental Period^(2/3)))/1.2 to evaluate the Seismic Coefficient for Short Period Structures, The Seismic Coefficient for Short Period Structures is defined as the seismic coefficient for short period structures i.e. structures which are acceleration dependent when we have a prior info of fundamental period. Seismic Coefficient for Short Period Structures is denoted by C_v symbol.

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

FAQs on Seismic Coefficient for Short Period Structures

What is the formula to find Seismic Coefficient for Short Period Structures?

The formula of Seismic Coefficient for Short Period Structures is expressed as Seismic Coefficient for Short Period Structures = (Seismic Response Coefficient*(Response Modification Factor*Fundamental Period^(2/3)))/1.2. Here is an example- 0.537037 = (0.35*(6*0.17^(2/3)))/1.2.

How to calculate Seismic Coefficient for Short Period Structures?

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

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Seismic Coefficient for Short Period Structures Formula

Seismic Coefficient for Short Period Structures Example

Seismic Coefficient for Short Period Structures Solution

Seismic Coefficient for Short Period Structures Formula Elements

Other formulas in Seismic Loads category

How to Evaluate Seismic Coefficient for Short Period Structures?

FAQs on Seismic Coefficient for Short Period Structures

Variable Name