Maximum Deflection of Cantilever Beam carrying Point Load at Free End Calculator

✖Point Load acting on a beam is a force applied at a single point at a set distance from the ends of the beam.ⓘ Point Load [P]			+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 Point Load at Free End [δ]

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Maximum Deflection of Cantilever Beam carrying Point Load at Free End Solution

STEP 0: Pre-Calculation Summary

Formula Used

Deflection of Beam = (Point Load*(Length of Beam^3))/(3*Elasticity Modulus of Concrete*Area Moment of Inertia)
δ = (P*(l^3))/(3*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.
Point Load - (Measured in Newton) - Point Load acting on a beam is a force applied at a single point at a set distance from the ends of the beam.
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

Point Load: 88 Kilonewton --> 88000 Newton (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 = (P*(l^3))/(3*E*I) --> (88000*(5^3))/(3*30000000000*0.0016)

Evaluating ... ...

δ = 0.0763888888888889

STEP 3: Convert Result to Output's Unit

0.0763888888888889 Meter -->76.3888888888889 Millimeter (Check conversion here)

FINAL ANSWER

76.3888888888889 ≈ 76.38889 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 Point Load at Free End Formula

LaTeX Go

Deflection of Beam = (Point Load*(Length of Beam^3))/(3*Elasticity Modulus of Concrete*Area Moment of Inertia)
δ = (P*(l^3))/(3*E*I)

What is Maximum and Center Deflection of Cantilever Beam carrying Point Load at Free End?

The Maximum and Center Deflection of Cantilever Beam carrying Point Load at Free End is the degree to which a Cantilever beam is displaced under a Point load at free end.

How to Calculate Maximum Deflection of Cantilever Beam carrying Point Load at Free End?

Maximum Deflection of Cantilever Beam carrying Point Load at Free End calculator uses Deflection of Beam = (Point Load*(Length of Beam^3))/(3*Elasticity Modulus of Concrete*Area Moment of Inertia) to calculate the Deflection of Beam, The Maximum Deflection of Cantilever Beam carrying Point Load at Free End formula is defined as (Point load acting on Beam*(length^3))/(3*Modulus of Elasticity*Area Moment of Inertia). Deflection of Beam is denoted by δ symbol.

How to calculate Maximum Deflection of Cantilever Beam carrying Point Load at Free End using this online calculator? To use this online calculator for Maximum Deflection of Cantilever Beam carrying Point Load at Free End, enter Point Load (P), 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 Point Load at Free End calculation can be explained with given input values -> 76388.89 = (88000*(5^3))/(3*30000000000*0.0016).

FAQ

What is Maximum Deflection of Cantilever Beam carrying Point Load at Free End?

The Maximum Deflection of Cantilever Beam carrying Point Load at Free End formula is defined as (Point load acting on Beam*(length^3))/(3*Modulus of Elasticity*Area Moment of Inertia) and is represented as δ = (P*(l^3))/(3*E*I) or Deflection of Beam = (Point Load*(Length of Beam^3))/(3*Elasticity Modulus of Concrete*Area Moment of Inertia). Point Load acting on a beam is a force applied at a single point at a set distance from the ends of the beam, 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 Point Load at Free End?

The Maximum Deflection of Cantilever Beam carrying Point Load at Free End formula is defined as (Point load acting on Beam*(length^3))/(3*Modulus of Elasticity*Area Moment of Inertia) is calculated using Deflection of Beam = (Point Load*(Length of Beam^3))/(3*Elasticity Modulus of Concrete*Area Moment of Inertia). To calculate Maximum Deflection of Cantilever Beam carrying Point Load at Free End, you need Point Load (P), 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 Point Load, 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 Point Load, 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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