Seismic Response Coefficient given Base Shear Calculator

✖Lateral Force is live loads that are applied parallel to the ground; that is, they are horizontal forces acting on a structure.ⓘ Lateral Force [V]			+10% -10%
✖Total Dead Load is a permanent load which results from the weight of the structure itself.ⓘ Total Dead Load [W]			+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 given Base Shear [C_s]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Roof Live Loads Formulas PDF PDF Image

Seismic Response Coefficient given Base Shear Solution

STEP 0: Pre-Calculation Summary

Formula Used

Seismic Response Coefficient = Lateral Force/Total Dead Load
C_s = V/W
This formula uses 3 Variables

Variables Used

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.
Lateral Force - (Measured in Newton) - Lateral Force is live loads that are applied parallel to the ground; that is, they are horizontal forces acting on a structure.
Total Dead Load - (Measured in Newton) - Total Dead Load is a permanent load which results from the weight of the structure itself.

STEP 1: Convert Input(s) to Base Unit

Lateral Force: 8.4 Kilopound-Force --> 37365.0615681401 Newton (Check conversion here)
Total Dead Load: 106.75 Kilonewton --> 106750 Newton (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_s = V/W --> 37365.0615681401/106750

Evaluating ... ...

C_s = 0.350023995954474

STEP 3: Convert Result to Output's Unit

0.350023995954474 --> No Conversion Required

FINAL ANSWER

0.350023995954474 ≈ 0.350024 <-- Seismic Response Coefficient

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Structural Engineering » Roof Live Loads » Seismic Loads » Seismic Response Coefficient given Base Shear

Credits

Created by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

Mridul Sharma has created this Calculator and 200+ more calculators!

Verified by Alithea Fernandes

Don Bosco College of Engineering (DBCE), Goa

Alithea Fernandes has verified this Calculator and 100+ more calculators!

< Seismic Loads Calculators

Seismic Response Coefficient given Fundamental Period

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

Total Lateral Force Acting in Direction of each of Principal Axis

LaTeX Go Lateral Force = Seismic Response Coefficient*Total Dead Load

Seismic Response Coefficient given Base Shear

LaTeX Go Seismic Response Coefficient = Lateral Force/Total Dead Load

Total Dead Load given Base Shear

LaTeX Go Total Dead Load = Lateral Force/Seismic Response Coefficient

Seismic Response Coefficient given Base Shear Formula

LaTeX Go

Seismic Response Coefficient = Lateral Force/Total Dead Load
C_s = V/W

What is the Response Coefficient?

The response modification coefficient (R) is used to calculate the reduced design seismic forces of a structural system, and the deflection amplification factor (Cd) to convert elastic lateral displacements to total lateral displacements.

How to Calculate Seismic Response Coefficient given Base Shear?

Seismic Response Coefficient given Base Shear calculator uses Seismic Response Coefficient = Lateral Force/Total Dead Load to calculate the Seismic Response Coefficient, The Seismic Response Coefficient given Base Shear formula calculates the seismic response coefficient when we have a prior info of the total dead load. Seismic Response Coefficient is denoted by C_s symbol.

How to calculate Seismic Response Coefficient given Base Shear using this online calculator? To use this online calculator for Seismic Response Coefficient given Base Shear, enter Lateral Force (V) & Total Dead Load (W) and hit the calculate button. Here is how the Seismic Response Coefficient given Base Shear calculation can be explained with given input values -> 0.350024 = 37365.0615681401/106750.

FAQ

What is Seismic Response Coefficient given Base Shear?

The Seismic Response Coefficient given Base Shear formula calculates the seismic response coefficient when we have a prior info of the total dead load and is represented as C_s = V/W or Seismic Response Coefficient = Lateral Force/Total Dead Load. Lateral Force is live loads that are applied parallel to the ground; that is, they are horizontal forces acting on a structure & Total Dead Load is a permanent load which results from the weight of the structure itself.

How to calculate Seismic Response Coefficient given Base Shear?

The Seismic Response Coefficient given Base Shear formula calculates the seismic response coefficient when we have a prior info of the total dead load is calculated using Seismic Response Coefficient = Lateral Force/Total Dead Load. To calculate Seismic Response Coefficient given Base Shear, you need Lateral Force (V) & Total Dead Load (W). With our tool, you need to enter the respective value for Lateral Force & Total Dead Load 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 Seismic Response Coefficient?

In this formula, Seismic Response Coefficient uses Lateral Force & Total Dead Load. We can use 2 other way(s) to calculate the same, which is/are as follows -

Seismic Response Coefficient = 1.2*Seismic Coefficient for Short Period Structures/(Response Modification Factor*Fundamental Period^(2/3))
Seismic Response Coefficient = 2.5*Seismic Coefficient for Velocity Dependent/Response Modification Factor

Home

FREE PDFs

🔍 Search