Lateral Seismic Force Calculator

✖Vertical Distribution Factor is the ratio of lateral seismic force to lateral force.ⓘ Vertical Distribution Factor [C_ux]			+10% -10%
✖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%

✖Lateral Seismic Force is the seismic force that acts in the direction parallel to ground and perpendicular to the direction of gravitational pull of earth.ⓘ Lateral Seismic Force [F_x]

⎘ Copy

👎

Formula

✖

Lateral Seismic Force

Formula

`"F"_{"x"} = "C"_{"ux"}*"V"`

Example

`"44090.77N"="1.18"*"8.40kipf"`

Calculator

LaTeX

Reset

👍

Download Roof Live Loads Formulas PDF

Lateral Seismic Force Solution

STEP 0: Pre-Calculation Summary

Formula Used

Lateral Seismic Force = Vertical Distribution Factor*Lateral Force
F_x = C_ux*V
This formula uses 3 Variables

Variables Used

Lateral Seismic Force - (Measured in Newton) - Lateral Seismic Force is the seismic force that acts in the direction parallel to ground and perpendicular to the direction of gravitational pull of earth.
Vertical Distribution Factor - Vertical Distribution Factor is the ratio of lateral seismic force to lateral force.
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.

STEP 1: Convert Input(s) to Base Unit

Vertical Distribution Factor: 1.18 --> No Conversion Required
Lateral Force: 8.4 Kilopound-Force --> 37365.0615681401 Newton (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_x = C_ux*V --> 1.18*37365.0615681401

Evaluating ... ...

F_x = 44090.7726504053

STEP 3: Convert Result to Output's Unit

44090.7726504053 Newton --> No Conversion Required

FINAL ANSWER

44090.7726504053 ≈ 44090.77 Newton <-- Lateral Seismic Force

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Structural Engineering » Roof Live Loads » Seismic Loads » Lateral Seismic Force

Credits

Created by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

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

Verified by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has verified this Calculator and 700+ 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

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))

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 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

Seismic Coefficient for Velocity Dependent Structures

Go Seismic Coefficient for Velocity Dependent = Seismic Response Coefficient*Response Modification Factor/2.5

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

Lateral Force

Go Lateral Force = Lateral Seismic Force/Vertical Distribution Factor

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 Frames

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

Fundamental Period for Steel Eccentrically Braced Frames

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

Fundamental Period for Reinforced Concrete 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)

Lateral Seismic Force Formula

Lateral Seismic Force = Vertical Distribution Factor*Lateral Force
F_x = C_ux*V

What are Lateral Forces?

The Force that acts in the direction parallel to ground and perpendicular to the direction of gravitational pull of earth is known as lateral forces.

How to Calculate Lateral Seismic Force?

Lateral Seismic Force calculator uses Lateral Seismic Force = Vertical Distribution Factor*Lateral Force to calculate the Lateral Seismic Force, The Lateral Seismic Force is defined as the force at any floor level as lateral force should be distributed over the height of the structure as concentrated loads at each floor level or storey. Lateral Seismic Force is denoted by F_x symbol.

How to calculate Lateral Seismic Force using this online calculator? To use this online calculator for Lateral Seismic Force, enter Vertical Distribution Factor (C_ux) & Lateral Force (V) and hit the calculate button. Here is how the Lateral Seismic Force calculation can be explained with given input values -> 44090.77 = 1.18*37365.0615681401.

FAQ

What is Lateral Seismic Force?

The Lateral Seismic Force is defined as the force at any floor level as lateral force should be distributed over the height of the structure as concentrated loads at each floor level or storey and is represented as F_x = C_ux*V or Lateral Seismic Force = Vertical Distribution Factor*Lateral Force. Vertical Distribution Factor is the ratio of lateral seismic force to lateral force & Lateral Force is live loads that are applied parallel to the ground; that is, they are horizontal forces acting on a structure.

How to calculate Lateral Seismic Force?

The Lateral Seismic Force is defined as the force at any floor level as lateral force should be distributed over the height of the structure as concentrated loads at each floor level or storey is calculated using Lateral Seismic Force = Vertical Distribution Factor*Lateral Force. To calculate Lateral Seismic Force, you need Vertical Distribution Factor (C_ux) & Lateral Force (V). With our tool, you need to enter the respective value for Vertical Distribution Factor & Lateral Force and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search