Concentrated Load given Deflection at Top Due to Fixed against Rotation Solution

STEP 0: Pre-Calculation Summary
Formula Used
Concentrated Load on Wall = (Deflection of Wall*Modulus of Elasticity of Wall Material*Wall Thickness)/((Height of the Wall/Length of Wall)^3+(3*(Height of the Wall/Length of Wall)))
P = (δ*E*t)/((H/L)^3+(3*(H/L)))
This formula uses 6 Variables
Variables Used
Concentrated Load on Wall - (Measured in Newton) - Concentrated Load on Wall is a structural load that acts on a small, localized area of a structure i.e. wall here.
Deflection of Wall - (Measured in Meter) - The Deflection of Wall is the degree to which a structural element is displaced under a load (due to its deformation).
Modulus of Elasticity of Wall Material - (Measured in Pascal) - The Modulus of Elasticity of Wall Material is a quantity that measures an object or substance's resistance to being deformed elastically when a stress is applied to it.
Wall Thickness - (Measured in Meter) - Wall Thickness is the distance between the inner and outer surfaces of a hollow object or structure. It measures the thickness of the material comprising the walls.
Height of the Wall - (Measured in Meter) - Height of the Wall can be described as the height of the member(wall).
Length of Wall - (Measured in Meter) - Length of Wall is the measurement of a wall from one end to another. It is the larger of the two or the highest of three dimensions of geometrical shapes or objects.
STEP 1: Convert Input(s) to Base Unit
Deflection of Wall: 0.172 Meter --> 0.172 Meter No Conversion Required
Modulus of Elasticity of Wall Material: 20 Megapascal --> 20000000 Pascal (Check conversion here)
Wall Thickness: 0.4 Meter --> 0.4 Meter No Conversion Required
Height of the Wall: 15 Meter --> 15 Meter No Conversion Required
Length of Wall: 25 Meter --> 25 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P = (δ*E*t)/((H/L)^3+(3*(H/L))) --> (0.172*20000000*0.4)/((15/25)^3+(3*(15/25)))
Evaluating ... ...
P = 682539.682539682
STEP 3: Convert Result to Output's Unit
682539.682539682 Newton -->682.539682539683 Kilonewton (Check conversion here)
FINAL ANSWER
682.539682539683 682.5397 Kilonewton <-- Concentrated Load on Wall
(Calculation completed in 00.020 seconds)

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National Institute of Technology (NIT), Warangal
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11 Load Distribution to Bents and Shear Walls Calculators

Modulus of Elasticity of Wall Material given Deflection
Go Modulus of Elasticity of Wall Material = ((1.5*Uniform Lateral Load*Height of the Wall)/(Deflection of Wall*Wall Thickness))*((Height of the Wall/Length of Wall)^3+(Height of the Wall/Length of Wall))
Wall Thickness given Deflection
Go Wall Thickness = ((1.5*Uniform Lateral Load*Height of the Wall)/(Modulus of Elasticity of Wall Material*Deflection of Wall))*((Height of the Wall/Length of Wall)^3+(Height of the Wall/Length of Wall))
Deflection at Top due to Uniform Load
Go Deflection of Wall = ((1.5*Uniform Lateral Load*Height of the Wall)/(Modulus of Elasticity of Wall Material*Wall Thickness))*((Height of the Wall/Length of Wall)^3+(Height of the Wall/Length of Wall))
Concentrated Load given Deflection at Top
Go Concentrated Load on Wall = (Deflection of Wall*Modulus of Elasticity of Wall Material*Wall Thickness)/(4*(((Height of the Wall/Length of Wall)^3)+(0.75*(Height of the Wall/Length of Wall))))
Modulus of Elasticity given Deflection at Top Due to Concentrated Load
Go Modulus of Elasticity of Wall Material = ((4*Concentrated Load on Wall)/(Deflection of Wall*Wall Thickness))*((Height of the Wall/Length of Wall)^3+0.75*(Height of the Wall/Length of Wall))
Wall Thickness given Deflection at Top due to Concentrated Load
Go Wall Thickness = ((4*Concentrated Load on Wall)/(Modulus of Elasticity of Wall Material*Deflection of Wall))*((Height of the Wall/Length of Wall)^3+0.75*(Height of the Wall/Length of Wall))
Deflection at Top due to Concentrated Load
Go Deflection of Wall = ((4*Concentrated Load on Wall)/(Modulus of Elasticity of Wall Material*Wall Thickness))*((Height of the Wall/Length of Wall)^3+0.75*(Height of the Wall/Length of Wall))
Modulus of Elasticity given Deflection at Top Due to Fixed against Rotation
Go Modulus of Elasticity of Wall Material = (Concentrated Load on Wall/(Deflection of Wall*Wall Thickness))*((Height of the Wall/Length of Wall)^3+3*(Height of the Wall/Length of Wall))
Concentrated Load given Deflection at Top Due to Fixed against Rotation
Go Concentrated Load on Wall = (Deflection of Wall*Modulus of Elasticity of Wall Material*Wall Thickness)/((Height of the Wall/Length of Wall)^3+(3*(Height of the Wall/Length of Wall)))
Wall Thickness given Deflection at Top due to Fixed against Rotation
Go Wall Thickness = (Concentrated Load on Wall/(Modulus of Elasticity of Wall Material*Deflection of Wall))*((Height of the Wall/Length of Wall)^3+3*(Height of the Wall/Length of Wall))
Deflection at Top due to Fixed against Rotation
Go Deflection of Wall = (Concentrated Load on Wall/(Modulus of Elasticity of Wall Material*Wall Thickness))*((Height of the Wall/Length of Wall)^3+3*(Height of the Wall/Length of Wall))

Concentrated Load given Deflection at Top Due to Fixed against Rotation Formula

Concentrated Load on Wall = (Deflection of Wall*Modulus of Elasticity of Wall Material*Wall Thickness)/((Height of the Wall/Length of Wall)^3+(3*(Height of the Wall/Length of Wall)))
P = (δ*E*t)/((H/L)^3+(3*(H/L)))

What is meant by Deflection?

Deflection can be defined as the degree to which a structural element is displaced under a load (due to its deformation).

Define Concentrated Load & Uniform Lateral Load?

The Concentrated Load is the load acting on a very small area of the structure's surface, the exact opposite of a distributed load.
The Lateral Loads are defined as the live loads whose main component is a horizontal force acting on the structure or member.

How to Calculate Concentrated Load given Deflection at Top Due to Fixed against Rotation?

Concentrated Load given Deflection at Top Due to Fixed against Rotation calculator uses Concentrated Load on Wall = (Deflection of Wall*Modulus of Elasticity of Wall Material*Wall Thickness)/((Height of the Wall/Length of Wall)^3+(3*(Height of the Wall/Length of Wall))) to calculate the Concentrated Load on Wall, The Concentrated Load given Deflection at Top Due to Fixed against Rotation formula is defined as the load acting on a very small area of the structure's surface, the exact opposite of a distributed load. Concentrated Load on Wall is denoted by P symbol.

How to calculate Concentrated Load given Deflection at Top Due to Fixed against Rotation using this online calculator? To use this online calculator for Concentrated Load given Deflection at Top Due to Fixed against Rotation, enter Deflection of Wall (δ), Modulus of Elasticity of Wall Material (E), Wall Thickness (t), Height of the Wall (H) & Length of Wall (L) and hit the calculate button. Here is how the Concentrated Load given Deflection at Top Due to Fixed against Rotation calculation can be explained with given input values -> 0.68254 = (0.172*20000000*0.4)/((15/25)^3+(3*(15/25))).

FAQ

What is Concentrated Load given Deflection at Top Due to Fixed against Rotation?
The Concentrated Load given Deflection at Top Due to Fixed against Rotation formula is defined as the load acting on a very small area of the structure's surface, the exact opposite of a distributed load and is represented as P = (δ*E*t)/((H/L)^3+(3*(H/L))) or Concentrated Load on Wall = (Deflection of Wall*Modulus of Elasticity of Wall Material*Wall Thickness)/((Height of the Wall/Length of Wall)^3+(3*(Height of the Wall/Length of Wall))). The Deflection of Wall is the degree to which a structural element is displaced under a load (due to its deformation), The Modulus of Elasticity of Wall Material is a quantity that measures an object or substance's resistance to being deformed elastically when a stress is applied to it, Wall Thickness is the distance between the inner and outer surfaces of a hollow object or structure. It measures the thickness of the material comprising the walls, Height of the Wall can be described as the height of the member(wall) & Length of Wall is the measurement of a wall from one end to another. It is the larger of the two or the highest of three dimensions of geometrical shapes or objects.
How to calculate Concentrated Load given Deflection at Top Due to Fixed against Rotation?
The Concentrated Load given Deflection at Top Due to Fixed against Rotation formula is defined as the load acting on a very small area of the structure's surface, the exact opposite of a distributed load is calculated using Concentrated Load on Wall = (Deflection of Wall*Modulus of Elasticity of Wall Material*Wall Thickness)/((Height of the Wall/Length of Wall)^3+(3*(Height of the Wall/Length of Wall))). To calculate Concentrated Load given Deflection at Top Due to Fixed against Rotation, you need Deflection of Wall (δ), Modulus of Elasticity of Wall Material (E), Wall Thickness (t), Height of the Wall (H) & Length of Wall (L). With our tool, you need to enter the respective value for Deflection of Wall, Modulus of Elasticity of Wall Material, Wall Thickness, Height of the Wall & Length of Wall 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 Concentrated Load on Wall?
In this formula, Concentrated Load on Wall uses Deflection of Wall, Modulus of Elasticity of Wall Material, Wall Thickness, Height of the Wall & Length of Wall. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Concentrated Load on Wall = (Deflection of Wall*Modulus of Elasticity of Wall Material*Wall Thickness)/(4*(((Height of the Wall/Length of Wall)^3)+(0.75*(Height of the Wall/Length of Wall))))
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