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Wall Thickness given Deflection Formula

GoWall Thickness given Deflection at Top due to Concentrated Load Formula

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

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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. Check FAQs

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

t - Wall Thickness?w - Uniform Lateral Load?H - Height of the Wall?E - Modulus of Elasticity of Wall Material?δ - Deflection of Wall?L - Length of Wall?

Wall Thickness given Deflection Example

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Here is how the Wall Thickness given Deflection equation looks like with Values.

Here is how the Wall Thickness given Deflection equation looks like with Units.

Here is how the Wall Thickness given Deflection equation looks like.

0.4003 = (\frac{1.5 \cdot 75 \cdot 15}{20 \cdot 0.172}) \cdot ({(\frac{15}{25})}^{3} + (\frac{15}{25}))

0.4003m = (\frac{1.5 \cdot 75kN \cdot 15m}{20MPa \cdot 0.172m}) \cdot ({(\frac{15m}{25m})}^{3} + (\frac{15m}{25m}))

0.4003 = (\frac{1.5 \cdot 75 \cdot 15}{20 \cdot 0.172}) \cdot ({(\frac{15}{25})}^{3} + (\frac{15}{25}))

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Wall Thickness given Deflection Solution

Follow our step by step solution on how to calculate Wall Thickness given Deflection?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

t = (\frac{1.5 \cdot 75kN \cdot 15m}{20MPa \cdot 0.172m}) \cdot ({(\frac{15m}{25m})}^{3} + (\frac{15m}{25m}))

Next Step Convert Units

∴

t = (\frac{1.5 \cdot 75000N \cdot 15m}{2E+7Pa \cdot 0.172m}) \cdot ({(\frac{15m}{25m})}^{3} + (\frac{15m}{25m}))

Next Step Prepare to Evaluate

∴

t = (\frac{1.5 \cdot 75000 \cdot 15}{2E+7 \cdot 0.172}) \cdot ({(\frac{15}{25})}^{3} + (\frac{15}{25}))

Next Step Evaluate

∴

t = 0.400290697674419m

LAST Step Rounding Answer

∴

t = 0.4003m

Wall Thickness given Deflection Formula Elements

Variables

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

Uniform Lateral Load

Uniform Lateral Load are live loads that are applied parallel to the member uiformly.

Symbol: w

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Uniform Lateral Load

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

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

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

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 Wall Thickness

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}))

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

t = (\frac{P}{E \cdot δ}) \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 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 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 Modulus of Elasticity given Deflection at Top Due to Concentrated Load

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

How to Evaluate Wall Thickness given Deflection?

Wall Thickness given Deflection evaluator 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 evaluate 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 evaluate Wall Thickness given Deflection using this online evaluator? To use this online evaluator 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.

FAQs on Wall Thickness given Deflection

What is the formula to find Wall Thickness given Deflection?

The formula of Wall Thickness given Deflection is expressed as 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)). Here is an example- 0.001431 = ((1.5*75000*15)/(20000000*Deflection_due_to_Moments_on_Arch_Dam))*((15/25)^3+(15/25)).

How to calculate Wall Thickness given Deflection?

With Uniform Lateral Load (w), Height of the Wall (H), Modulus of Elasticity of Wall Material (E), Deflection of Wall (δ) & Length of Wall (L) we can find Wall Thickness given Deflection using the formula - 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)).

What are the other ways to Calculate Wall Thickness?

Here are the different ways to Calculate Wall Thickness-

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))

Can the Wall Thickness given Deflection be negative?

No, the Wall Thickness given Deflection, measured in Length cannot be negative.

Which unit is used to measure Wall Thickness given Deflection?

Wall Thickness given Deflection is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Wall Thickness given Deflection can be measured.

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Wall Thickness given Deflection Formula

​GoWall Thickness given Deflection at Top due to Concentrated Load Formula

​GoWall Thickness given Deflection at Top due to Fixed against Rotation Formula

Wall Thickness given Deflection Example

Wall Thickness given Deflection Solution

Wall Thickness given Deflection Formula Elements

Other Formulas to find Wall Thickness

Other formulas in Load Distribution to Bents and Shear Walls category

How to Evaluate Wall Thickness given Deflection?

FAQs on Wall Thickness given Deflection

Variable Name

GoWall Thickness given Deflection at Top due to Concentrated Load Formula

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