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The Deflection of Wall is the degree to which a structural element is displaced under a load (due to its deformation). Check FAQs
δ=(4⋅PE⋅t)⋅((HL)3+0.75⋅(HL))
δ - Deflection of Wall?P - Concentrated Load on Wall?E - Modulus of Elasticity of Wall Material?t - Wall Thickness?H - Height of the Wall?L - Length of Wall?

Deflection at Top due to Concentrated Load Example

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With units
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Here is how the Deflection at Top due to Concentrated Load equation looks like with Values.

Here is how the Deflection at Top due to Concentrated Load equation looks like with Units.

Here is how the Deflection at Top due to Concentrated Load equation looks like.

0.172Edit=(4⋅516.51Edit20Edit⋅0.4Edit)⋅((15Edit25Edit)3+0.75⋅(15Edit25Edit))
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Deflection at Top due to Concentrated Load Solution

Follow our step by step solution on how to calculate Deflection at Top due to Concentrated Load?

FIRST Step Consider the formula
δ=(4⋅PE⋅t)⋅((HL)3+0.75⋅(HL))
Next Step Substitute values of Variables
∴ δ=(4⋅516.51kN20MPa⋅0.4m)⋅((15m25m)3+0.75⋅(15m25m))
Next Step Convert Units
∴ δ=(4⋅516510N2E+7Pa⋅0.4m)⋅((15m25m)3+0.75⋅(15m25m))
Next Step Prepare to Evaluate
∴ δ=(4⋅5165102E+7⋅0.4)⋅((1525)3+0.75⋅(1525))
Next Step Evaluate
∴δ=0.17199783m
LAST Step Rounding Answer
∴δ=0.172m

Deflection at Top due to Concentrated Load Formula Elements

Variables
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 WallOpen Variable
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 WallOpen Variable
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 MaterialOpen Variable
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 ThicknessOpen Variable
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 WallOpen Variable
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 WallOpen Variable

Other Formulas to find Deflection of Wall

​Go Deflection at Top due to Uniform Load
δ=(1.5⋅w⋅HE⋅t)⋅((HL)3+(HL))
​Go Deflection at Top due to Fixed against Rotation
δ=(PE⋅t)⋅((HL)3+3⋅(HL))

Other formulas in Load Distribution to Bents and Shear Walls category

​Go Modulus of Elasticity of Wall Material given Deflection
E=(1.5⋅w⋅Hδ⋅t)⋅((HL)3+(HL))
​Go Wall Thickness given Deflection
t=(1.5⋅w⋅HE⋅δ)⋅((HL)3+(HL))
​Go Modulus of Elasticity given Deflection at Top Due to Concentrated Load
E=(4⋅Pδ⋅t)⋅((HL)3+0.75⋅(HL))
​Go Wall Thickness given Deflection at Top due to Concentrated Load
t=(4⋅PE⋅δ)⋅((HL)3+0.75⋅(HL))

How to Evaluate Deflection at Top due to Concentrated Load?

Deflection at Top due to Concentrated Load evaluator uses 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)) to evaluate the Deflection of Wall, The Deflection at Top due to Concentrated Load formula is defined as the degree to which a structural element is displaced under a load (due to its deformation). Deflection of Wall is denoted by δ symbol.

How to evaluate Deflection at Top due to Concentrated Load using this online evaluator? To use this online evaluator for Deflection at Top due to Concentrated Load, enter Concentrated Load on Wall (P), Modulus of Elasticity of Wall Material (E), Wall Thickness (t), Height of the Wall (H) & Length of Wall (L) and hit the calculate button.

FAQs on Deflection at Top due to Concentrated Load

What is the formula to find Deflection at Top due to Concentrated Load?
The formula of Deflection at Top due to Concentrated Load is expressed as 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)). Here is an example- 0.171998 = ((4*516510)/(20000000*0.4))*((15/25)^3+0.75*(15/25)).
How to calculate Deflection at Top due to Concentrated Load?
With Concentrated Load on Wall (P), Modulus of Elasticity of Wall Material (E), Wall Thickness (t), Height of the Wall (H) & Length of Wall (L) we can find Deflection at Top due to Concentrated Load using the formula - 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)).
What are the other ways to Calculate Deflection of Wall?
Here are the different ways to Calculate Deflection of Wall-
  • 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))OpenImg
  • 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))OpenImg
Can the Deflection at Top due to Concentrated Load be negative?
No, the Deflection at Top due to Concentrated Load, measured in Length cannot be negative.
Which unit is used to measure Deflection at Top due to Concentrated Load?
Deflection at Top due to Concentrated Load is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Deflection at Top due to Concentrated Load can be measured.
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