Maximum and Center Deflection of Cantilever Beam with Couple Moment at Free End Calculator

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Engineering	Civil ↺
Civil	Beams ↺
Beams	Slope and Deflection ↺

✖Couple Moment is a system of forces with a resultant moment but no resultant force.ⓘ Couple Moment [C]			+10% -10%
✖Length is the measurement or extent of something from end to end.ⓘ Length [l]			+10% -10%
✖Modulus Of Elasticity is a quantity that measures an object or substance's resistance to being deformed elastically when a stress is applied to it.ⓘ Modulus Of Elasticity [E]			+10% -10%
✖Area moment of inertia is a property of a two-dimensional plane shape which characterizes its deflection under loading.ⓘ Area Moment of Inertia [I]			+10% -10%

✖The Deflection is the degree to which a structural element is displaced under a load (due to its deformation). ⓘ Maximum and Center Deflection of Cantilever Beam with Couple Moment at Free End [𝜕 ]

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Maximum and Center Deflection of Cantilever Beam with Couple Moment at Free End

Alithea Fernandes

Don Bosco College of Engineering (DBCE), Goa

Alithea Fernandes has created this Calculator and 100+ more calculators!

Mona Gladys

St Joseph's College (St Joseph's College), Bengaluru

Mona Gladys has verified this Calculator and 400+ more calculators!

< 11 Other formulas that you can solve using the same Inputs

Surface Area of a Rectangular Prism

Surface Area=2*(Length*Width+Length*Height+Width*Height) GO

Perimeter of a rectangle when diagonal and length are given

Perimeter=2*(Length+sqrt((Diagonal)^2-(Length)^2)) GO

Magnetic Flux

Magnetic Flux=Magnetic Field*Length*Breadth*cos(θ) GO

Diagonal of a Rectangle when length and area are given

Diagonal=sqrt(((Area)^2/(Length)^2)+(Length)^2) GO

Area of a Rectangle when length and diagonal are given

Area=Length*(sqrt((Diagonal)^2-(Length)^2)) GO

Diagonal of a Rectangle when length and breadth are given

Diagonal=sqrt(Length^2+Breadth^2) GO

Strain

Strain=Change In Length/Length GO

Surface Tension

Surface Tension=Force/Length GO

Perimeter of a rectangle when length and width are given

Perimeter=2*Length+2*Width GO

Volume of a Rectangular Prism

Volume=Width*Height*Length GO

Area of a Rectangle when length and breadth are given

Area=Length*Breadth GO

< 9 Other formulas that calculate the same Output

The Deflection at the Top Due to Uniform Load

Deflection=(1.5*Uniform Lateral Load*Height of the wall/(Modulus Of Elasticity*Wall thickness))*((Height of the wall/Length of wall)^3+(Height of the wall/Length of wall)) GO

The Deflection at the Top Due to Concentrated Load

Deflection=(4*Concentrated load/(Modulus Of Elasticity*Wall thickness))*((Height of the wall/Length of wall)^3+0.75*(Height of the wall/Length of wall)) GO

The Deflection at the Top Due to Fixed Against Rotation

Deflection=(Concentrated load/(Modulus Of Elasticity*Wall thickness))*((Height of the wall/Length of wall)^3+3*(Height of the wall/Length of wall)) GO

Maximum and Center Deflection of Cantilever Beam carrying Point Load at any point

Deflection=(Point Load acting on the Beam*(Distance from end A^2)*(3*Length-Distance from end A))/(6*Modulus Of Elasticity*Area Moment of Inertia) GO

Maximum and Center Deflection of Simply Supported Beam carrying UDL over its entire Length

Deflection=(5*Uniformly Distributed Load*(Length^4))/(384*Modulus Of Elasticity*Area Moment of Inertia) GO

Maximum and Center Deflection of Simply Supported Beam carrying Point Load at Center

Deflection=(Point Load acting on the Beam*(Length^3))/(48*Modulus Of Elasticity*Area Moment of Inertia) GO

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

Deflection=(Point Load acting on the Beam*(Length^3))/(3*Modulus Of Elasticity*Area Moment of Inertia) GO

Deflection of fixed beam with load at center

Deflection=-Width*(Length^3)/(192*Elastic Modulus*Moment of Inertia) GO

Deflection of fixed beam with uniformly distributed load

Deflection=-Width*Length^4/(384*Elastic Modulus*Moment of Inertia) GO

Maximum and Center Deflection of Cantilever Beam with Couple Moment at Free End Formula

Deflection=(Couple Moment*(Length^2))/(2*Modulus Of Elasticity*Area Moment of Inertia)
𝜕 =(C*(l^2))/(2*E*I)

More formulas

Maximum and Center Deflection of Simply Supported Beam carrying Point Load at Center GO

Maximum and Center Deflection of Simply Supported Beam carrying UDL over its entire Length GO

Maximum and Center Deflection of Cantilever Beam carrying Point Load at Free End GO

Maximum and Center Deflection of Cantilever Beam carrying Point Load at any point GO

What is Maximum and Center Deflection of Cantilever Beam with Couple Moment at Free End?

Maximum and Center Deflection of Cantilever Beam with Couple Moment at Free End is the degree to which a cantilever beam is displaced under a couple moment

How to Calculate Maximum and Center Deflection of Cantilever Beam with Couple Moment at Free End?

Maximum and Center Deflection of Cantilever Beam with Couple Moment at Free End calculator uses Deflection=(Couple Moment*(Length^2))/(2*Modulus Of Elasticity*Area Moment of Inertia) to calculate the Deflection, The Maximum and Center Deflection of Cantilever Beam with Couple Moment at Free End formula is defined as (Couple Moment*(length of the beam^2))/(2*Modulus of Elasticity*Area Moment of inertia). Deflection and is denoted by 𝜕 symbol.

How to calculate Maximum and Center Deflection of Cantilever Beam with Couple Moment at Free End using this online calculator? To use this online calculator for Maximum and Center Deflection of Cantilever Beam with Couple Moment at Free End, enter Couple Moment (C), Length (l), Modulus Of Elasticity (E) and Area Moment of Inertia (I) and hit the calculate button. Here is how the Maximum and Center Deflection of Cantilever Beam with Couple Moment at Free End calculation can be explained with given input values -> 0.045 = (10000*(3^2))/(2*10000*100).

FAQ

What is Maximum and Center Deflection of Cantilever Beam with Couple Moment at Free End?

The Maximum and Center Deflection of Cantilever Beam with Couple Moment at Free End formula is defined as (Couple Moment*(length of the beam^2))/(2*Modulus of Elasticity*Area Moment of inertia) and is represented as 𝜕 =(C*(l^2))/(2*E*I) or Deflection=(Couple Moment*(Length^2))/(2*Modulus Of Elasticity*Area Moment of Inertia). Couple Moment is a system of forces with a resultant moment but no resultant force, Length is the measurement or extent of something from end to end, Modulus Of Elasticity is a quantity that measures an object or substance's resistance to being deformed elastically when a stress is applied to it and Area moment of inertia is a property of a two-dimensional plane shape which characterizes its deflection under loading.

How to calculate Maximum and Center Deflection of Cantilever Beam with Couple Moment at Free End?

The Maximum and Center Deflection of Cantilever Beam with Couple Moment at Free End formula is defined as (Couple Moment*(length of the beam^2))/(2*Modulus of Elasticity*Area Moment of inertia) is calculated using Deflection=(Couple Moment*(Length^2))/(2*Modulus Of Elasticity*Area Moment of Inertia). To calculate Maximum and Center Deflection of Cantilever Beam with Couple Moment at Free End, you need Couple Moment (C), Length (l), Modulus Of Elasticity (E) and Area Moment of Inertia (I). With our tool, you need to enter the respective value for Couple Moment, Length, Modulus Of Elasticity and 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?

In this formula, Deflection uses Couple Moment, Length, Modulus Of Elasticity and Area Moment of Inertia. We can use 9 other way(s) to calculate the same, which is/are as follows -

Deflection=-Width*(Length^3)/(192*Elastic Modulus*Moment of Inertia)
Deflection=-Width*Length^4/(384*Elastic Modulus*Moment of Inertia)
Deflection=(Point Load acting on the Beam*(Length^3))/(48*Modulus Of Elasticity*Area Moment of Inertia)
Deflection=(5*Uniformly Distributed Load*(Length^4))/(384*Modulus Of Elasticity*Area Moment of Inertia)
Deflection=(Point Load acting on the Beam*(Length^3))/(3*Modulus Of Elasticity*Area Moment of Inertia)
Deflection=(Point Load acting on the Beam*(Distance from end A^2)*(3*Length-Distance from end A))/(6*Modulus Of Elasticity*Area Moment of Inertia)
Deflection=(1.5*Uniform Lateral Load*Height of the wall/(Modulus Of Elasticity*Wall thickness))*((Height of the wall/Length of wall)^3+(Height of the wall/Length of wall))
Deflection=(4*Concentrated load/(Modulus Of Elasticity*Wall thickness))*((Height of the wall/Length of wall)^3+0.75*(Height of the wall/Length of wall))
Deflection=(Concentrated load/(Modulus Of Elasticity*Wall thickness))*((Height of the wall/Length of wall)^3+3*(Height of the wall/Length of wall))

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