Modulus of Elasticity of Wall Material 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 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%
✖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%
✖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 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 given Deflection [E]

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Modulus of Elasticity of Wall Material given Deflection

Formula

`"E" = ((1.5*"w"*"H")/("δ"*"t"))*(("H"/"L")^3+("H"/"L"))`

Example

`"20.01453MPa"=((1.5*"75kN"*"15m")/("0.172m"*"0.4m"))*(("15m"/"25m")^3+("15m"/"25m"))`

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Download Load Distribution to Bents and Shear Walls Formulas PDF

Modulus of Elasticity of Wall Material given Deflection Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
E = ((1.5*w*H)/(δ*t))*((H/L)^3+(H/L))
This formula uses 6 Variables

Variables Used

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.
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).
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).
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.
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
Deflection of Wall: 0.172 Meter --> 0.172 Meter No Conversion Required
Wall Thickness: 0.4 Meter --> 0.4 Meter No Conversion Required
Length of Wall: 25 Meter --> 25 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E = ((1.5*w*H)/(δ*t))*((H/L)^3+(H/L)) --> ((1.5*75000*15)/(0.172*0.4))*((15/25)^3+(15/25))

Evaluating ... ...

E = 20014534.8837209

STEP 3: Convert Result to Output's Unit

20014534.8837209 Pascal -->20.0145348837209 Megapascal (Check conversion here)

FINAL ANSWER

20.0145348837209 ≈ 20.01453 Megapascal <-- Modulus of Elasticity of Wall Material

(Calculation completed in 00.020 seconds)

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Home » Engineering » Civil » Design of Steel Structures » Load Distribution » Load Distribution to Bents and Shear Walls » Modulus of Elasticity of Wall Material given Deflection

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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))

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))

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))

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))

Modulus of Elasticity of Wall Material given Deflection Formula

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 Modulus of Elasticity of Wall Material given Deflection?

Modulus of Elasticity of Wall Material given Deflection calculator uses 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)) to calculate the Modulus of Elasticity of Wall Material, The Modulus of Elasticity of Wall Material given Deflection formula is defined as the quantity that measures an object or substance's resistance to being deformed elastically (i.e., non-permanently) when a stress is applied. Modulus of Elasticity of Wall Material is denoted by E symbol.

How to calculate Modulus of Elasticity of Wall Material given Deflection using this online calculator? To use this online calculator for Modulus of Elasticity of Wall Material given Deflection, enter Uniform Lateral Load (w), Height of the Wall (H), Deflection of Wall (δ), Wall Thickness (t) & Length of Wall (L) and hit the calculate button. Here is how the Modulus of Elasticity of Wall Material given Deflection calculation can be explained with given input values -> 7.2E-8 = ((1.5*75000*15)/(Deflection_due_to_Moments_on_Arch_Dam*0.4))*((15/25)^3+(15/25)).

FAQ

What is Modulus of Elasticity of Wall Material given Deflection?

The Modulus of Elasticity of Wall Material given Deflection formula is defined as the quantity that measures an object or substance's resistance to being deformed elastically (i.e., non-permanently) when a stress is applied and is represented as E = ((1.5*w*H)/(δ*t))*((H/L)^3+(H/L)) or 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)). 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 Deflection of Wall is the degree to which a structural element is displaced under a load (due to its deformation), 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 & 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 Modulus of Elasticity of Wall Material given Deflection?

The Modulus of Elasticity of Wall Material given Deflection formula is defined as the quantity that measures an object or substance's resistance to being deformed elastically (i.e., non-permanently) when a stress is applied is calculated using 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)). To calculate Modulus of Elasticity of Wall Material given Deflection, you need Uniform Lateral Load (w), Height of the Wall (H), Deflection of Wall (δ), Wall Thickness (t) & Length of Wall (L). With our tool, you need to enter the respective value for Uniform Lateral Load, Height of the Wall, Deflection of Wall, Wall Thickness & 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 Modulus of Elasticity of Wall Material?

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

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))
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))

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