Seismic Coefficient for Short Period Structures Solution

STEP 0: Pre-Calculation Summary
Formula Used
Seismic Coefficient for Short Period Structures = (Seismic Response Coefficient*(Response Modification Factor*Fundamental Period^(2/3)))/1.2
Cv = (Cs*(R*T^(2/3)))/1.2
This formula uses 4 Variables
Variables Used
Seismic Coefficient for Short Period Structures - The Seismic Coefficient for Short Period Structures is for acceleration dependent 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.
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.
Fundamental Period - (Measured in Second) - Fundamental Period is the time taken for one complete oscillation (back-and-forth) by the building.
STEP 1: Convert Input(s) to Base Unit
Seismic Response Coefficient: 0.35 --> No Conversion Required
Response Modification Factor: 6 --> No Conversion Required
Fundamental Period: 0.17 Second --> 0.17 Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Cv = (Cs*(R*T^(2/3)))/1.2 --> (0.35*(6*0.17^(2/3)))/1.2
Evaluating ... ...
Cv = 0.537036738028488
STEP 3: Convert Result to Output's Unit
0.537036738028488 --> No Conversion Required
FINAL ANSWER
0.537036738028488 0.537037 <-- Seismic Coefficient for Short Period Structures
(Calculation completed in 00.004 seconds)

Credits

Created by Mridul Sharma
Indian Institute of Information Technology (IIIT), Bhopal
Mridul Sharma has created this Calculator and 200+ more calculators!
Verified by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
Rithik Agrawal has verified this Calculator and 400+ more calculators!

21 Seismic Loads Calculators

Fundamental Period given Seismic Response Coefficient
Go Fundamental Period = (1.2*Seismic Coefficient for Short Period Structures/(Response Modification Factor*Seismic Response Coefficient))^(3/2)
Seismic Coefficient for Short Period Structures
Go Seismic Coefficient for Short Period Structures = (Seismic Response Coefficient*(Response Modification Factor*Fundamental Period^(2/3)))/1.2
Response Modification Factor
Go Response Modification Factor = 1.2*Seismic Coefficient for Short Period Structures/(Seismic Response Coefficient*Fundamental Period^(2/3))
Seismic Response Coefficient given Fundamental Period
Go Seismic Response Coefficient = 1.2*Seismic Coefficient for Short Period Structures/(Response Modification Factor*Fundamental Period^(2/3))
Seismic Coefficient for Velocity Dependent Structures
Go Seismic Coefficient for Velocity Dependent = Seismic Response Coefficient*Response Modification Factor /2.5
Seismic Response Coefficient given Seismic Coefficient for Velocity Dependent Structures
Go Seismic Response Coefficient = 2.5*Seismic Coefficient for Velocity Dependent/Response Modification Factor
Response Modification Factor by Velocity Dependent Structures
Go Response Modification Factor = 2.5*Seismic Coefficient for Velocity Dependent/Seismic Response Coefficient
Lateral Force
Go Lateral Force = Lateral Seismic Force/Vertical Distribution Factor
Vertical Distribution Factor given Lateral Force
Go Vertical Distribution Factor = Lateral Seismic Force/Lateral Force
Lateral Seismic Force
Go Lateral Seismic Force = Vertical Distribution Factor*Lateral Force
Total Lateral Force Acting in Direction of each of Principal Axis
Go Lateral Force = Seismic Response Coefficient*Total Dead Load
Seismic Response Coefficient given Base Shear
Go Seismic Response Coefficient = Lateral Force/Total Dead Load
Total Dead Load given Base Shear
Go Total Dead Load = Lateral Force/Seismic Response Coefficient
Building Height for Steel Frame given Fundamental Period
Go Height of Building = (Fundamental Period/0.035)^(4/3)
Building Height for Steel Eccentrically Braced Frames given Fundamental Period
Go Height of Building = (Fundamental Period/0.03)^(4/3)
Building Height for Reinforced Concrete Frames given Fundamental Period
Go Height of Building = (Fundamental Period/0.03)^(4/3)
Building Height for other Buildings given Fundamental Period
Go Height of Building = (Fundamental Period/0.02)^(4/3)
Fundamental Period for Steel Eccentrically Braced Frames
Go Fundamental Period = 0.03*Height of Building^(3/4)
Fundamental Period for other Buildings
Go Fundamental Period = 0.02*Height of Building^(3/4)
Fundamental Period for Steel Frames
Go Fundamental Period = 0.035*Height of Building^(3/4)
Fundamental Period for Reinforced Concrete Frames
Go Fundamental Period = 0.03*Height of Building^(3/4)

Seismic Coefficient for Short Period Structures Formula

Seismic Coefficient for Short Period Structures = (Seismic Response Coefficient*(Response Modification Factor*Fundamental Period^(2/3)))/1.2
Cv = (Cs*(R*T^(2/3)))/1.2

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 Coefficient for Short Period Structures?

Seismic Coefficient for Short Period Structures calculator uses Seismic Coefficient for Short Period Structures = (Seismic Response Coefficient*(Response Modification Factor*Fundamental Period^(2/3)))/1.2 to calculate 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 Cv symbol.

How to calculate Seismic Coefficient for Short Period Structures using this online calculator? To use this online calculator for Seismic Coefficient for Short Period Structures, enter Seismic Response Coefficient (Cs), Response Modification Factor (R) & Fundamental Period (T) and hit the calculate button. Here is how the Seismic Coefficient for Short Period Structures calculation can be explained with given input values -> 0.537037 = (0.35*(6*0.17^(2/3)))/1.2 .

FAQ

What is 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 and is represented as Cv = (Cs*(R*T^(2/3)))/1.2 or Seismic Coefficient for Short Period Structures = (Seismic Response Coefficient*(Response Modification Factor*Fundamental Period^(2/3)))/1.2. Seismic Response Coefficient calculates reduced design seismic forces of structural system and deflection amplification factor to convert elastic lateral displacements to total lateral displacements, Response Modification Factor is the ratio of base shear that would be developed in the lateral load resisting system to the design base shear & Fundamental Period is the time taken for one complete oscillation (back-and-forth) by the building.
How to calculate 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 is calculated using Seismic Coefficient for Short Period Structures = (Seismic Response Coefficient*(Response Modification Factor*Fundamental Period^(2/3)))/1.2. To calculate Seismic Coefficient for Short Period Structures, you need Seismic Response Coefficient (Cs), Response Modification Factor (R) & Fundamental Period (T). With our tool, you need to enter the respective value for Seismic Response Coefficient, Response Modification Factor & Fundamental Period and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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