Maximum Deflection of Cantilever Beam carrying UDL Calculator

✖Load per Unit Length is the load distributed per unit meter.ⓘ Load per Unit Length [w^']			+10% -10%
✖Length of Beam is defined as the distance between the supports.ⓘ Length of Beam [l]			+10% -10%
✖Elasticity modulus of Concrete (Ec) is the ratio of the applied stress to the corresponding strain.ⓘ Elasticity Modulus of Concrete [E]			+10% -10%
✖Area Moment of Inertia is a moment about the centroidal axis without considering mass.ⓘ Area Moment of Inertia [I]			+10% -10%

✖Deflection of Beam Deflection is the movement of a beam or node from its original position. It happens due to the forces and loads being applied to the body.ⓘ Maximum Deflection of Cantilever Beam carrying UDL [δ]

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Maximum Deflection of Cantilever Beam carrying UDL Solution

STEP 0: Pre-Calculation Summary

Formula Used

Deflection of Beam = (Load per Unit Length*(Length of Beam^4))/(8*Elasticity Modulus of Concrete*Area Moment of Inertia)
δ = (w^'*(l^4))/(8*E*I)
This formula uses 5 Variables

Variables Used

Deflection of Beam - (Measured in Meter) - Deflection of Beam Deflection is the movement of a beam or node from its original position. It happens due to the forces and loads being applied to the body.
Load per Unit Length - (Measured in Newton per Meter) - Load per Unit Length is the load distributed per unit meter.
Length of Beam - (Measured in Meter) - Length of Beam is defined as the distance between the supports.
Elasticity Modulus of Concrete - (Measured in Pascal) - Elasticity modulus of Concrete (Ec) is the ratio of the applied stress to the corresponding strain.
Area Moment of Inertia - (Measured in Meter⁴) - Area Moment of Inertia is a moment about the centroidal axis without considering mass.

STEP 1: Convert Input(s) to Base Unit

Load per Unit Length: 24 Kilonewton per Meter --> 24000 Newton per Meter (Check conversion here)
Length of Beam: 5000 Millimeter --> 5 Meter (Check conversion here)
Elasticity Modulus of Concrete: 30000 Megapascal --> 30000000000 Pascal (Check conversion here)
Area Moment of Inertia: 0.0016 Meter⁴ --> 0.0016 Meter⁴ No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

δ = (w^'*(l^4))/(8*E*I) --> (24000*(5^4))/(8*30000000000*0.0016)

Evaluating ... ...

δ = 0.0390625

STEP 3: Convert Result to Output's Unit

0.0390625 Meter -->39.0625 Millimeter (Check conversion here)

FINAL ANSWER

39.0625 Millimeter <-- Deflection of Beam

(Calculation completed in 00.004 seconds)

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< Cantilever Beam Calculators

Deflection at Any Point on Cantilever Beam carrying UDL

LaTeX Go Deflection of Beam = ((Load per Unit Length*Distance x from Support^2)*(((Distance x from Support^2)+(6*Length of Beam^2)-(4*Distance x from Support*Length of Beam))/(24*Elasticity Modulus of Concrete*Area Moment of Inertia)))

Deflection of Cantilever Beam carrying Point Load at Any Point

LaTeX Go Deflection of Beam = (Point Load*(Distance from Support A^2)*(3*Length of Beam-Distance from Support A))/(6*Elasticity Modulus of Concrete*Area Moment of Inertia)

Deflection at Any Point on Cantilever Beam carrying Couple Moment at Free End

LaTeX Go Deflection of Beam = ((Moment of Couple*Distance x from Support^2)/(2*Elasticity Modulus of Concrete*Area Moment of Inertia))

Maximum Deflection of Cantilever Beam carrying Point Load at Free End

LaTeX Go Deflection of Beam = (Point Load*(Length of Beam^3))/(3*Elasticity Modulus of Concrete*Area Moment of Inertia)

Maximum Deflection of Cantilever Beam carrying UDL Formula

LaTeX Go

Deflection of Beam = (Load per Unit Length*(Length of Beam^4))/(8*Elasticity Modulus of Concrete*Area Moment of Inertia)
δ = (w^'*(l^4))/(8*E*I)

What is Maximum and Center Deflection of Cantilever Beam carrying UDL?

The Maximum and Center Deflection of Cantilever Beam carrying UDL is the maximum degree to which a cantilever beam is displaced under a uniformly distributed load.

How to Calculate Maximum Deflection of Cantilever Beam carrying UDL?

Maximum Deflection of Cantilever Beam carrying UDL calculator uses Deflection of Beam = (Load per Unit Length*(Length of Beam^4))/(8*Elasticity Modulus of Concrete*Area Moment of Inertia) to calculate the Deflection of Beam, The Maximum Deflection of Cantilever Beam carrying UDL formula is defined as (Uniformly Distributed Load*(Length of the beam^4))/(8*Modulus of Elasticity*Area Moment of Inertia). Deflection of Beam is denoted by δ symbol.

How to calculate Maximum Deflection of Cantilever Beam carrying UDL using this online calculator? To use this online calculator for Maximum Deflection of Cantilever Beam carrying UDL, enter Load per Unit Length (w^'), Length of Beam (l), Elasticity Modulus of Concrete (E) & Area Moment of Inertia (I) and hit the calculate button. Here is how the Maximum Deflection of Cantilever Beam carrying UDL calculation can be explained with given input values -> 39062.5 = (24000*(5^4))/(8*30000000000*0.0016).

FAQ

What is Maximum Deflection of Cantilever Beam carrying UDL?

The Maximum Deflection of Cantilever Beam carrying UDL formula is defined as (Uniformly Distributed Load*(Length of the beam^4))/(8*Modulus of Elasticity*Area Moment of Inertia) and is represented as δ = (w^'*(l^4))/(8*E*I) or Deflection of Beam = (Load per Unit Length*(Length of Beam^4))/(8*Elasticity Modulus of Concrete*Area Moment of Inertia). Load per Unit Length is the load distributed per unit meter, Length of Beam is defined as the distance between the supports, Elasticity modulus of Concrete (Ec) is the ratio of the applied stress to the corresponding strain & Area Moment of Inertia is a moment about the centroidal axis without considering mass.

How to calculate Maximum Deflection of Cantilever Beam carrying UDL?

The Maximum Deflection of Cantilever Beam carrying UDL formula is defined as (Uniformly Distributed Load*(Length of the beam^4))/(8*Modulus of Elasticity*Area Moment of Inertia) is calculated using Deflection of Beam = (Load per Unit Length*(Length of Beam^4))/(8*Elasticity Modulus of Concrete*Area Moment of Inertia). To calculate Maximum Deflection of Cantilever Beam carrying UDL, you need Load per Unit Length (w^'), Length of Beam (l), Elasticity Modulus of Concrete (E) & Area Moment of Inertia (I). With our tool, you need to enter the respective value for Load per Unit Length, Length of Beam, Elasticity Modulus of Concrete & Area Moment of Inertia 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 Deflection of Beam?

In this formula, Deflection of Beam uses Load per Unit Length, Length of Beam, Elasticity Modulus of Concrete & Area Moment of Inertia. We can use 3 other way(s) to calculate the same, which is/are as follows -

Deflection of Beam = ((Load per Unit Length*Distance x from Support^2)*(((Distance x from Support^2)+(6*Length of Beam^2)-(4*Distance x from Support*Length of Beam))/(24*Elasticity Modulus of Concrete*Area Moment of Inertia)))
Deflection of Beam = ((Moment of Couple*Distance x from Support^2)/(2*Elasticity Modulus of Concrete*Area Moment of Inertia))
Deflection of Beam = (Point Load*(Distance from Support A^2)*(3*Length of Beam-Distance from Support A))/(6*Elasticity Modulus of Concrete*Area Moment of Inertia)

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