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Lateral Force Formula

GoTotal Lateral Force Acting in Direction of each of Principal Axis Formula

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Lateral Force is live loads that are applied parallel to the ground; that is, they are horizontal forces acting on a structure. Check FAQs

V = \frac{F x}{C ux}

V - Lateral Force?F_x - Lateral Seismic Force?C_ux - Vertical Distribution Factor?

Lateral Force Example

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Here is how the Lateral Force equation looks like with Values.

Here is how the Lateral Force equation looks like with Units.

Here is how the Lateral Force equation looks like.

8.3827 = \frac{44000}{1.18}

8.3827kipf = \frac{44000N}{1.18}

8.3827 = \frac{44000}{1.18}

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Lateral Force Solution

Follow our step by step solution on how to calculate Lateral Force?

FIRST Step Consider the formula

V = \frac{F x}{C ux}

Next Step Substitute values of Variables

∴

V = \frac{44000N}{1.18}

Next Step Prepare to Evaluate

∴

V = \frac{44000}{1.18}

Next Step Evaluate

∴

V = 37288.1355932203N

Next Step Convert to Output's Unit

∴

V = 8.38270635288136kipf

LAST Step Rounding Answer

∴

V = 8.3827kipf

Lateral Force Formula Elements

Variables

Lateral Force

Lateral Force is live loads that are applied parallel to the ground; that is, they are horizontal forces acting on a structure.

Symbol: V

Measurement: ForceUnit: kipf

Note: Value should be greater than 0.

Formulas to find Lateral Force

Lateral Seismic Force

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.

Symbol: F_x

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Lateral Seismic Force

Vertical Distribution Factor

Vertical Distribution Factor is the ratio of lateral seismic force to lateral force.

Symbol: C_ux

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Vertical Distribution Factor

Other Formulas to find Lateral Force

Go Total Lateral Force Acting in Direction of each of Principal Axis

V = C s \cdot W

Other formulas in Seismic Loads category

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}}}

Go Seismic Coefficient for Short Period Structures

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

How to Evaluate Lateral Force?

Lateral Force evaluator uses Lateral Force = Lateral Seismic Force/Vertical Distribution Factor to evaluate 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 evaluate Lateral Force using this online evaluator? To use this online evaluator for Lateral Force, enter Lateral Seismic Force (F_x) & Vertical Distribution Factor (C_ux) and hit the calculate button.

FAQs on Lateral Force

What is the formula to find Lateral Force?

The formula of Lateral Force is expressed as Lateral Force = Lateral Seismic Force/Vertical Distribution Factor. Here is an example- 0.001885 = 44000/1.18.

How to calculate Lateral Force?

With Lateral Seismic Force (F_x) & Vertical Distribution Factor (C_ux) we can find Lateral Force using the formula - Lateral Force = Lateral Seismic Force/Vertical Distribution Factor.

What are the other ways to Calculate Lateral Force?

Here are the different ways to Calculate Lateral Force-

Lateral Force=Seismic Response Coefficient*Total Dead Load

Can the Lateral Force be negative?

No, the Lateral Force, measured in Force cannot be negative.

Which unit is used to measure Lateral Force?

Lateral Force is usually measured using the Kilopound-Force[kipf] for Force. Newton[kipf], Exanewton[kipf], Meganewton[kipf] are the few other units in which Lateral Force can be measured.

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Lateral Force Formula

​GoTotal Lateral Force Acting in Direction of each of Principal Axis Formula

Lateral Force Example

Lateral Force Solution

Lateral Force Formula Elements

Other Formulas to find Lateral Force

Other formulas in Seismic Loads category

How to Evaluate Lateral Force?

FAQs on Lateral Force

Variable Name

GoTotal Lateral Force Acting in Direction of each of Principal Axis Formula