Vertical Distribution Factor given Lateral Force Solution

STEP 0: Pre-Calculation Summary
Formula Used
Vertical Distribution Factor = Lateral Seismic Force/Lateral Force
Cux = Fx/V
This formula uses 3 Variables
Variables Used
Vertical Distribution Factor - Vertical Distribution Factor is the ratio of lateral seismic force to lateral force.
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.
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
Lateral Seismic Force: 44000 Newton --> 44000 Newton No Conversion Required
Lateral Force: 8.4 Kilopound-Force --> 37365.0615681401 Newton (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Cux = Fx/V --> 44000/37365.0615681401
Evaluating ... ...
Cux = 1.17757065433333
STEP 3: Convert Result to Output's Unit
1.17757065433333 --> No Conversion Required
FINAL ANSWER
1.17757065433333 1.177571 <-- Vertical Distribution Factor
(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 Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
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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)

Vertical Distribution Factor given Lateral Force Formula

Vertical Distribution Factor = Lateral Seismic Force/Lateral Force
Cux = Fx/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 Vertical Distribution Factor given Lateral Force?

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

How to calculate Vertical Distribution Factor given Lateral Force using this online calculator? To use this online calculator for Vertical Distribution Factor given Lateral Force, enter Lateral Seismic Force (Fx) & Lateral Force (V) and hit the calculate button. Here is how the Vertical Distribution Factor given Lateral Force calculation can be explained with given input values -> 1.177571 = 44000/37365.0615681401.

FAQ

What is Vertical Distribution Factor given Lateral Force?
The Vertical Distribution Factor given Lateral Force is defined as the ratio of lateral seismic force to lateral force distributed over the height of the structure as concentrated loads at each floor level and is represented as Cux = Fx/V or Vertical Distribution Factor = Lateral Seismic Force/Lateral 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 & 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 Vertical Distribution Factor given Lateral Force?
The Vertical Distribution Factor given Lateral Force is defined as the ratio of lateral seismic force to lateral force distributed over the height of the structure as concentrated loads at each floor level is calculated using Vertical Distribution Factor = Lateral Seismic Force/Lateral Force. To calculate Vertical Distribution Factor given Lateral Force, you need Lateral Seismic Force (Fx) & Lateral Force (V). With our tool, you need to enter the respective value for Lateral Seismic Force & Lateral Force 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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