Lateral Force Calculator

✖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]			+10% -10%
✖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]

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Formula

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Lateral Force

Formula

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

Example

`"8.382706kipf"="44000N"/"1.18" `

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Lateral Force Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Lateral Seismic Force: 44000 Newton --> 44000 Newton No Conversion Required
Vertical Distribution Factor: 1.18 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = F_x/C_ux --> 44000/1.18

Evaluating ... ...

V = 37288.1355932203

STEP 3: Convert Result to Output's Unit

37288.1355932203 Newton -->8.38270635288136 Kilopound-Force (Check conversion here)

FINAL ANSWER

8.38270635288136 ≈ 8.382706 Kilopound-Force <-- Lateral Force

(Calculation completed in 00.004 seconds)

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Credits

Created by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

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

Verified by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has verified this Calculator and 600+ 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)

Lateral Force Formula

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

What are Lateral Forces?

Lateral forces are applied parallel to the ground; that is, they are horizontal forces acting on a structure. They are different to gravity loads for example which are vertical, downward forces.

How to Calculate Lateral Force?

Lateral Force calculator uses Lateral Force = Lateral Seismic Force/Vertical Distribution Factor to calculate the Lateral Force, The Lateral Force is defined as the lateral force acting over a height of the structure as concentrated loads at each floor level. Lateral Force is denoted by V symbol.

How to calculate Lateral Force using this online calculator? To use this online calculator for Lateral Force, enter Lateral Seismic Force (F_x) & Vertical Distribution Factor (C_ux) and hit the calculate button. Here is how the Lateral Force calculation can be explained with given input values -> 0.001885 = 44000/1.18 .

FAQ

What is Lateral Force?

The Lateral Force is defined as the lateral force acting over a height of the structure as concentrated loads at each floor level and is represented as V = F_x/C_ux or Lateral Force = Lateral Seismic Force/Vertical Distribution Factor. 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 is the ratio of lateral seismic force to lateral force.

How to calculate Lateral Force?

The Lateral Force is defined as the lateral force acting over a height of the structure as concentrated loads at each floor level is calculated using Lateral Force = Lateral Seismic Force/Vertical Distribution Factor. To calculate Lateral Force, you need Lateral Seismic Force (F_x) & Vertical Distribution Factor (C_ux). With our tool, you need to enter the respective value for Lateral Seismic Force & Vertical Distribution Factor 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 Lateral Force?

In this formula, Lateral Force uses Lateral Seismic Force & Vertical Distribution Factor. We can use 1 other way(s) to calculate the same, which is/are as follows -

Lateral Force = Seismic Response Coefficient*Total Dead Load

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