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Modulus of Elasticity given Deflection at Top Due to Concentrated Load Formula

GoModulus of Elasticity of Wall Material given Deflection Formula

GoModulus of Elasticity given Deflection at Top Due to Fixed against Rotation Formula

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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. Check FAQs

E = (\frac{4 \cdot P}{δ \cdot t}) \cdot ({(\frac{H}{L})}^{3} + 0.75 \cdot (\frac{H}{L}))

E - Modulus of Elasticity of Wall Material?P - Concentrated Load on Wall?δ - Deflection of Wall?t - Wall Thickness?H - Height of the Wall?L - Length of Wall?

Modulus of Elasticity given Deflection at Top Due to Concentrated Load Example

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Here is how the Modulus of Elasticity given Deflection at Top Due to Concentrated Load equation looks like with Values.

Here is how the Modulus of Elasticity given Deflection at Top Due to Concentrated Load equation looks like with Units.

Here is how the Modulus of Elasticity given Deflection at Top Due to Concentrated Load equation looks like.

19.9997 = (\frac{4 \cdot 516.51}{0.172 \cdot 0.4}) \cdot ({(\frac{15}{25})}^{3} + 0.75 \cdot (\frac{15}{25}))

19.9997MPa = (\frac{4 \cdot 516.51kN}{0.172m \cdot 0.4m}) \cdot ({(\frac{15m}{25m})}^{3} + 0.75 \cdot (\frac{15m}{25m}))

19.9997 = (\frac{4 \cdot 516.51}{0.172 \cdot 0.4}) \cdot ({(\frac{15}{25})}^{3} + 0.75 \cdot (\frac{15}{25}))

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Modulus of Elasticity given Deflection at Top Due to Concentrated Load Solution

Follow our step by step solution on how to calculate Modulus of Elasticity given Deflection at Top Due to Concentrated Load?

FIRST Step Consider the formula

E = (\frac{4 \cdot P}{δ \cdot t}) \cdot ({(\frac{H}{L})}^{3} + 0.75 \cdot (\frac{H}{L}))

Next Step Substitute values of Variables

∴

E = (\frac{4 \cdot 516.51kN}{0.172m \cdot 0.4m}) \cdot ({(\frac{15m}{25m})}^{3} + 0.75 \cdot (\frac{15m}{25m}))

Next Step Convert Units

∴

E = (\frac{4 \cdot 516510N}{0.172m \cdot 0.4m}) \cdot ({(\frac{15m}{25m})}^{3} + 0.75 \cdot (\frac{15m}{25m}))

Next Step Prepare to Evaluate

∴

E = (\frac{4 \cdot 516510}{0.172 \cdot 0.4}) \cdot ({(\frac{15}{25})}^{3} + 0.75 \cdot (\frac{15}{25}))

Next Step Evaluate

∴

E = 19999747.6744186Pa

Next Step Convert to Output's Unit

∴

E = 19.9997476744186MPa

LAST Step Rounding Answer

∴

E = 19.9997MPa

Modulus of Elasticity given Deflection at Top Due to Concentrated Load Formula Elements

Variables

Modulus of Elasticity of Wall Material

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.

Symbol: E

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Modulus of Elasticity of Wall Material

Concentrated Load on Wall

Concentrated Load on Wall is a structural load that acts on a small, localized area of a structure i.e. wall here.

Symbol: P

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Concentrated Load on Wall

Deflection of Wall

The Deflection of Wall is the degree to which a structural element is displaced under a load (due to its deformation).

Symbol: δ

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Deflection of Wall

Wall Thickness

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.

Symbol: t

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Wall Thickness

Height of the Wall

Height of the Wall can be described as the height of the member(wall).

Symbol: H

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of the Wall

Length of 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.

Symbol: L

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Wall

Other Formulas to find Modulus of Elasticity of Wall Material

Go Modulus of Elasticity of Wall Material given Deflection

E = (\frac{1.5 \cdot w \cdot H}{δ \cdot t}) \cdot ({(\frac{H}{L})}^{3} + (\frac{H}{L}))

Go Modulus of Elasticity given Deflection at Top Due to Fixed against Rotation

E = (\frac{P}{δ \cdot t}) \cdot ({(\frac{H}{L})}^{3} + 3 \cdot (\frac{H}{L}))

Other formulas in Load Distribution to Bents and Shear Walls category

Go Deflection at Top due to Uniform Load

δ = (\frac{1.5 \cdot w \cdot H}{E \cdot t}) \cdot ({(\frac{H}{L})}^{3} + (\frac{H}{L}))

Go Wall Thickness given Deflection

t = (\frac{1.5 \cdot w \cdot H}{E \cdot δ}) \cdot ({(\frac{H}{L})}^{3} + (\frac{H}{L}))

Go Deflection at Top due to Concentrated Load

δ = (\frac{4 \cdot P}{E \cdot t}) \cdot ({(\frac{H}{L})}^{3} + 0.75 \cdot (\frac{H}{L}))

Go Wall Thickness given Deflection at Top due to Concentrated Load

t = (\frac{4 \cdot P}{E \cdot δ}) \cdot ({(\frac{H}{L})}^{3} + 0.75 \cdot (\frac{H}{L}))

How to Evaluate Modulus of Elasticity given Deflection at Top Due to Concentrated Load?

Modulus of Elasticity given Deflection at Top Due to Concentrated Load evaluator uses 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)) to evaluate the Modulus of Elasticity of Wall Material, The Modulus of Elasticity given Deflection at Top Due to Concentrated Load formula is defined as a 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 evaluate Modulus of Elasticity given Deflection at Top Due to Concentrated Load using this online evaluator? To use this online evaluator for Modulus of Elasticity given Deflection at Top Due to Concentrated Load, enter Concentrated Load on Wall (P), Deflection of Wall (δ), Wall Thickness (t), Height of the Wall (H) & Length of Wall (L) and hit the calculate button.

FAQs on Modulus of Elasticity given Deflection at Top Due to Concentrated Load

What is the formula to find Modulus of Elasticity given Deflection at Top Due to Concentrated Load?

The formula of Modulus of Elasticity given Deflection at Top Due to Concentrated Load is expressed as 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)). Here is an example- 7.2E-8 = ((4*516510)/(Deflection_due_to_Moments_on_Arch_Dam*0.4))*((15/25)^3+0.75*(15/25)).

How to calculate Modulus of Elasticity given Deflection at Top Due to Concentrated Load?

With Concentrated Load on Wall (P), Deflection of Wall (δ), Wall Thickness (t), Height of the Wall (H) & Length of Wall (L) we can find Modulus of Elasticity given Deflection at Top Due to Concentrated Load using the formula - 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)).

What are the other ways to Calculate Modulus of Elasticity of Wall Material?

Here are the different ways to Calculate Modulus of Elasticity of Wall Material-

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))
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))

Can the Modulus of Elasticity given Deflection at Top Due to Concentrated Load be negative?

No, the Modulus of Elasticity given Deflection at Top Due to Concentrated Load, measured in Pressure cannot be negative.

Which unit is used to measure Modulus of Elasticity given Deflection at Top Due to Concentrated Load?

Modulus of Elasticity given Deflection at Top Due to Concentrated Load is usually measured using the Megapascal[MPa] for Pressure. Pascal[MPa], Kilopascal[MPa], Bar[MPa] are the few other units in which Modulus of Elasticity given Deflection at Top Due to Concentrated Load can be measured.

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Modulus of Elasticity given Deflection at Top Due to Concentrated Load Formula

​GoModulus of Elasticity of Wall Material given Deflection Formula

​GoModulus of Elasticity given Deflection at Top Due to Fixed against Rotation Formula

Modulus of Elasticity given Deflection at Top Due to Concentrated Load Example

Modulus of Elasticity given Deflection at Top Due to Concentrated Load Solution

Modulus of Elasticity given Deflection at Top Due to Concentrated Load Formula Elements

Other Formulas to find Modulus of Elasticity of Wall Material

Other formulas in Load Distribution to Bents and Shear Walls category

How to Evaluate Modulus of Elasticity given Deflection at Top Due to Concentrated Load?

FAQs on Modulus of Elasticity given Deflection at Top Due to Concentrated Load

Variable Name

GoModulus of Elasticity of Wall Material given Deflection Formula

GoModulus of Elasticity given Deflection at Top Due to Fixed against Rotation Formula