Wall Thickness given Deflection Calculator

✖Uniform Lateral Load are live loads that are applied parallel to the member uiformly.ⓘ Uniform Lateral Load [w]			+10% -10%
✖Height of the Wall can be described as the height of the member(wall).ⓘ Height of the Wall [H]			+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%
✖The Deflection of Wall is the degree to which a structural element is displaced under a load (due to its deformation).ⓘ Deflection of Wall [δ]			+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%

✖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 given Deflection [t]

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Wall Thickness given Deflection Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
t = ((1.5*w*H)/(E*δ))*((H/L)^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.
Uniform Lateral Load - (Measured in Newton) - Uniform Lateral Load are live loads that are applied parallel to the member uiformly.
Height of the Wall - (Measured in Meter) - Height of the Wall can be described as the height of the member(wall).
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).
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

Uniform Lateral Load: 75 Kilonewton --> 75000 Newton (Check conversion here)
Height of the Wall: 15 Meter --> 15 Meter No Conversion Required
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
Length of Wall: 25 Meter --> 25 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t = ((1.5*w*H)/(E*δ))*((H/L)^3+(H/L)) --> ((1.5*75000*15)/(20000000*0.172))*((15/25)^3+(15/25))

Evaluating ... ...

t = 0.400290697674419

STEP 3: Convert Result to Output's Unit

0.400290697674419 Meter --> No Conversion Required

FINAL ANSWER

0.400290697674419 ≈ 0.400291 Meter <-- Wall Thickness

(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))

Wall Thickness given Deflection 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 Wall Thickness given Deflection?

Wall Thickness given Deflection calculator uses 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)) to calculate the Wall Thickness, The Wall Thickness given Deflection formula is defined as the measurement of the wall which is opposite to the length of the wall. Wall Thickness is denoted by t symbol.

How to calculate Wall Thickness given Deflection using this online calculator? To use this online calculator for Wall Thickness given Deflection, enter Uniform Lateral Load (w), Height of the Wall (H), Modulus of Elasticity of Wall Material (E), Deflection of Wall (δ) & Length of Wall (L) and hit the calculate button. Here is how the Wall Thickness given Deflection calculation can be explained with given input values -> 0.001431 = ((1.5*75000*15)/(20000000*Deflection_due_to_Moments_on_Arch_Dam))*((15/25)^3+(15/25)).

FAQ

What is Wall Thickness given Deflection?

The Wall Thickness given Deflection formula is defined as the measurement of the wall which is opposite to the length of the wall and is represented as t = ((1.5*w*H)/(E*δ))*((H/L)^3+(H/L)) or 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)). Uniform Lateral Load are live loads that are applied parallel to the member uiformly, Height of the Wall can be described as the height of the member(wall), 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) & 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?

The Wall Thickness given Deflection formula is defined as the measurement of the wall which is opposite to the length of the wall is calculated using 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)). To calculate Wall Thickness given Deflection, you need Uniform Lateral Load (w), Height of the Wall (H), Modulus of Elasticity of Wall Material (E), Deflection of Wall (δ) & Length of Wall (L). With our tool, you need to enter the respective value for Uniform Lateral Load, Height of the Wall, Modulus of Elasticity of Wall Material, Deflection of 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 Uniform Lateral Load, Height of the Wall, Modulus of Elasticity of Wall Material, Deflection of Wall & Length of Wall. We can use 2 other way(s) to calculate the same, which is/are as follows -

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))
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))

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