Deflection at Top due to Fixed against Rotation Calculator

✖Concentrated Load on Wall is a structural load that acts on a small, localized area of a structure i.e. wall here.ⓘ Concentrated Load on Wall [P]			+10% -10%
✖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.ⓘ Modulus of Elasticity of Wall Material [E]			+10% -10%
✖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.ⓘ Wall Thickness [t]			+10% -10%
✖Height of the Wall can be described as the height of the member(wall).ⓘ Height of the Wall [H]			+10% -10%
✖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.ⓘ Length of Wall [L]			+10% -10%

✖The Deflection of Wall is the degree to which a structural element is displaced under a load (due to its deformation).ⓘ Deflection at Top due to Fixed against Rotation [δ]

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Deflection at Top due to Fixed against Rotation Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
δ = (P/(E*t))*((H/L)^3+3*(H/L))
This formula uses 6 Variables

Variables Used

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).
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.
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

Concentrated Load on Wall: 516.51 Kilonewton --> 516510 Newton (Check conversion here)
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

δ = (P/(E*t))*((H/L)^3+3*(H/L)) --> (516510/(20000000*0.4))*((15/25)^3+3*(15/25))

Evaluating ... ...

δ = 0.13016052

STEP 3: Convert Result to Output's Unit

0.13016052 Meter --> No Conversion Required

FINAL ANSWER

0.13016052 ≈ 0.130161 Meter <-- Deflection of Wall

(Calculation completed in 00.020 seconds)

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National Institute of Technology (NIT), Warangal

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< Load Distribution to Bents and Shear Walls Calculators

Modulus of Elasticity of Wall Material given Deflection

LaTeX 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))

Deflection at Top due to Uniform Load

LaTeX 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))

Wall Thickness given Deflection

LaTeX 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 Concentrated Load

LaTeX 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))

Deflection at Top due to Fixed against Rotation Formula

LaTeX Go

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 Deflection at Top due to Fixed against Rotation?

Deflection at Top due to Fixed against Rotation calculator uses 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)) to calculate the Deflection of Wall, The Deflection at Top Due to Fixed against Rotation formula is defined as the degree to which a structural element is displaced under a load (due to its deformation). Deflection of Wall is denoted by δ symbol.

How to calculate Deflection at Top due to Fixed against Rotation using this online calculator? To use this online calculator for Deflection at Top due to Fixed against Rotation, enter Concentrated Load on Wall (P), 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 Deflection at Top due to Fixed against Rotation calculation can be explained with given input values -> 0.130161 = (516510/(20000000*0.4))*((15/25)^3+3*(15/25)).

FAQ

What is Deflection at Top due to Fixed against Rotation?

The Deflection at Top Due to Fixed against Rotation formula is defined as the degree to which a structural element is displaced under a load (due to its deformation) and is represented as δ = (P/(E*t))*((H/L)^3+3*(H/L)) or 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 on Wall is a structural load that acts on a small, localized area of a structure i.e. wall here, 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 Deflection at Top due to Fixed against Rotation?

The Deflection at Top Due to Fixed against Rotation formula is defined as the degree to which a structural element is displaced under a load (due to its deformation) is calculated using 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)). To calculate Deflection at Top due to Fixed against Rotation, you need Concentrated Load on Wall (P), 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 Concentrated Load on 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 Deflection of Wall?

In this formula, Deflection of Wall uses Concentrated Load on Wall, Modulus of Elasticity of Wall Material, Wall Thickness, Height of the Wall & Length of Wall. We can use 2 other way(s) to calculate the same, which is/are as follows -

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))
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))

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