Wall Thickness given Deflection at Top due to Fixed against Rotation Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
t = (P/(E*δ))*((H/L)^3+3*(H/L))
This formula uses 6 Variables
Variables Used
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.
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.
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).
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)
Deflection of Wall: 0.172 Meter --> 0.172 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
t = (P/(E*δ))*((H/L)^3+3*(H/L)) --> (516510/(20000000*0.172))*((15/25)^3+3*(15/25))
Evaluating ... ...
t = 0.30269888372093
STEP 3: Convert Result to Output's Unit
0.30269888372093 Meter --> No Conversion Required
FINAL ANSWER
0.30269888372093 0.302699 Meter <-- Wall Thickness
(Calculation completed in 00.004 seconds)

Credits

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Created by M Naveen
National Institute of Technology (NIT), Warangal
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National Institute of Technology Karnataka (NITK), Surathkal
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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))

Wall Thickness given Deflection at Top due to Fixed against Rotation Formula

​LaTeX ​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))
t = (P/(E*δ))*((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 Wall Thickness given Deflection at Top due to Fixed against Rotation?

Wall Thickness given Deflection at Top due to Fixed against Rotation calculator uses 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)) to calculate the Wall Thickness, The Wall Thickness given Deflection at Top due to Fixed against Rotation formula is defined as the measurement of the wall against its length. Wall Thickness is denoted by t symbol.

How to calculate Wall Thickness given Deflection at Top due to Fixed against Rotation using this online calculator? To use this online calculator for Wall Thickness given Deflection at Top due to Fixed against Rotation, enter Concentrated Load on Wall (P), Modulus of Elasticity of Wall Material (E), Deflection of Wall (δ), Height of the Wall (H) & Length of Wall (L) and hit the calculate button. Here is how the Wall Thickness given Deflection at Top due to Fixed against Rotation calculation can be explained with given input values -> 0.001082 = (516510/(20000000*Deflection_due_to_Moments_on_Arch_Dam))*((15/25)^3+3*(15/25)).

FAQ

What is Wall Thickness given Deflection at Top due to Fixed against Rotation?
The Wall Thickness given Deflection at Top due to Fixed against Rotation formula is defined as the measurement of the wall against its length and is represented as t = (P/(E*δ))*((H/L)^3+3*(H/L)) or 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)). 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, The Deflection of Wall is the degree to which a structural element is displaced under a load (due to its deformation), 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 Wall Thickness given Deflection at Top due to Fixed against Rotation?
The Wall Thickness given Deflection at Top due to Fixed against Rotation formula is defined as the measurement of the wall against its length is calculated using 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)). To calculate Wall Thickness given Deflection at Top due to Fixed against Rotation, you need Concentrated Load on Wall (P), Modulus of Elasticity of Wall Material (E), Deflection of Wall (δ), 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, Deflection of Wall, 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 Wall Thickness?
In this formula, Wall Thickness uses Concentrated Load on Wall, Modulus of Elasticity of Wall Material, Deflection of Wall, Height of the Wall & Length of Wall. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • 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))
  • 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))
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