Length over which Deformation Takes Place when Strain Energy in Bending is Given Calculator

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✖The Strain energy is defined as the energy stored in a body due to deformation. ⓘ Strain Energy [U]			+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%
✖Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.ⓘ Moment of Inertia [I]			+10% -10%
✖The Bending moment is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend.ⓘ Bending moment [M]			+10% -10%

✖Length is the measurement or extent of something from end to end.ⓘ Length over which Deformation Takes Place when Strain Energy in Bending is Given [l]

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Length over which Deformation Takes Place when Strain Energy in Bending is Given

Rudrani Tidke

Cummins College of Engineering for Women (CCEW), Pune

Rudrani Tidke has created this Calculator and 100+ more calculators!

Alithea Fernandes

Don Bosco College of Engineering (DBCE), Goa

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

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

Maximum Stress For Short Beams

Maximum stress at crack tip=(Axial Load/Cross sectional area)+((Maximum Bending Moment*Distance from the Neutral axis)/Moment of Inertia) GO

Axial Load when Maximum Stress For Short Beams is Given

Axial Load=Cross sectional area*(Maximum stress at crack tip-(Maximum Bending Moment*Distance from the Neutral axis/Moment of Inertia)) GO

Impulsive Torque

Impulsive Torque=(Moment of Inertia*(Final Angular Velocity-Angular velocity))/Time Taken to Travel GO

Strain Energy if moment value is given

Strain Energy=(Bending moment*Bending moment*Length)/(2*Elastic Modulus*Moment of Inertia) GO

Center of Gravity

Centre of gravity=Moment of Inertia/(Volume*(Centre of Buoyancy+Metacenter)) GO

Center of Buoyancy

Centre of Buoyancy=Moment of Inertia/(Volume*Centre of gravity)-Metacenter GO

Metacenter

Metacenter=Moment of Inertia/(Volume*Centre of gravity)-Centre of Buoyancy GO

Deflection of fixed beam with load at center

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

Section Modulus

Section Modulus=(Moment of Inertia)/(Distance from the Neutral axis) GO

Deflection of fixed beam with uniformly distributed load

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

Angular Momentum

Angular Momentum=Moment of Inertia*Angular Velocity GO

< 11 Other formulas that calculate the same Output

Length over which Deformation Takes Place when Strain Energy in Torsion is Given

Length=sqrt(2*Strain Energy*Polar moment of Inertia*Shear Modulus of Elasticity/Torque^2) GO

Length over which Deformation Takes Place when Strain Energy in Shear is Given

Length=2*Strain Energy*Shear Area*Shear Modulus of Elasticity/(Shear Force^2) GO

Length of rectangle when diagonal and breadth are given

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

Length of rectangle when perimeter and breadth are given

Length=(Perimeter-2*Breadth)/2 GO

Length of rectangle when diagonal and angle between two diagonal are given

Length=Diagonal*sin(sinϑ/2) GO

Length of a rectangle in terms of diagonal and angle between diagonal and breadth

Length=Diagonal*sin(sinϑ) GO

Length of rectangle when area and breadth are given

Length=Area/Breadth GO

Length of the major axis of an ellipse (b>a)

Length=2*Major axis GO

Length of major axis of an ellipse (a>b)

Length=2*Major axis GO

Length of minor axis of an ellipse (a>b)

Length=2*Minor axis GO

Length of minor axis of an ellipse (b>a)

Length=2*Minor axis GO

Length over which Deformation Takes Place when Strain Energy in Bending is Given Formula

Length=Strain Energy*(2*Modulus Of Elasticity*Moment of Inertia)/(Bending moment^2)
l=U*(2*E*I)/(M^2)

More formulas

Stress using Hook's Law GO

Shear Load when Strain Energy in Shear is Given GO

Strain Energy in Shear GO

Length over which Deformation Takes Place when Strain Energy in Shear is Given GO

Shear Area when Strain Energy in Shear is Given GO

Shear Modulus of Elasticity when Strain Energy in Shear is Given GO

Strain Energy in Shear when Shear Deformation is Given GO

Strain Energy in Torsion GO

Torque when Strain Energy in Torsion is Given GO

Length over which Deformation Takes Place when Strain Energy in Torsion is Given GO

Polar Moment of Inertia when Strain Energy in Torsion is Given GO

Shear Modulus of Elasticity when Strain Energy in Torsion is Given GO

Strain Energy in Torsion when Angle of Twist is Given GO

Strain Energy in Bending GO

Bending Moment when Strain Energy in Bending is Given GO

Modulus of Elasticity when Strain Energy in Bending is Given GO

Moment of Inertia when Strain Energy in Bending is Given GO

Strain Energy in Bending when Angle Through which One Beam Rotates wrt Other End is Given GO

What are the four basic forms of deformation of solid bodies?

Four basic forms of deformations or displacements of structures or solid bodies and these are: TENSION, COMPRESSION, BENDING & TWISTING.

How to Calculate Length over which Deformation Takes Place when Strain Energy in Bending is Given?

Length over which Deformation Takes Place when Strain Energy in Bending is Given calculator uses Length=Strain Energy*(2*Modulus Of Elasticity*Moment of Inertia)/(Bending moment^2) to calculate the Length, The Length over which Deformation Takes Place when Strain Energy in Bending is Given formula is defined as length of section of the specimen under bending whose original dimension gets distorted or changed after bending. Length and is denoted by l symbol.

How to calculate Length over which Deformation Takes Place when Strain Energy in Bending is Given using this online calculator? To use this online calculator for Length over which Deformation Takes Place when Strain Energy in Bending is Given, enter Strain Energy (U), Modulus Of Elasticity (E), Moment of Inertia (I) and Bending moment (M) and hit the calculate button. Here is how the Length over which Deformation Takes Place when Strain Energy in Bending is Given calculation can be explained with given input values -> 450 = 50*(2*10000*1.125)/(50^2).

FAQ

What is Length over which Deformation Takes Place when Strain Energy in Bending is Given?

The Length over which Deformation Takes Place when Strain Energy in Bending is Given formula is defined as length of section of the specimen under bending whose original dimension gets distorted or changed after bending and is represented as l=U*(2*E*I)/(M^2) or Length=Strain Energy*(2*Modulus Of Elasticity*Moment of Inertia)/(Bending moment^2). The Strain energy is defined as the energy stored in a body due to deformation. , 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, Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis and The Bending moment is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend.

How to calculate Length over which Deformation Takes Place when Strain Energy in Bending is Given?

The Length over which Deformation Takes Place when Strain Energy in Bending is Given formula is defined as length of section of the specimen under bending whose original dimension gets distorted or changed after bending is calculated using Length=Strain Energy*(2*Modulus Of Elasticity*Moment of Inertia)/(Bending moment^2). To calculate Length over which Deformation Takes Place when Strain Energy in Bending is Given, you need Strain Energy (U), Modulus Of Elasticity (E), Moment of Inertia (I) and Bending moment (M). With our tool, you need to enter the respective value for Strain Energy, Modulus Of Elasticity, Moment of Inertia and Bending moment 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 Length?

In this formula, Length uses Strain Energy, Modulus Of Elasticity, Moment of Inertia and Bending moment. We can use 11 other way(s) to calculate the same, which is/are as follows -

Length=sqrt(Diagonal^2-Breadth^2)
Length=Area/Breadth
Length=(Perimeter-2*Breadth)/2
Length=Diagonal*sin(sinϑ)
Length=Diagonal*sin(sinϑ/2)
Length=2*Major axis
Length=2*Major axis
Length=2*Minor axis
Length=2*Minor axis
Length=2*Strain Energy*Shear Area*Shear Modulus of Elasticity/(Shear Force^2)
Length=sqrt(2*Strain Energy*Polar moment of Inertia*Shear Modulus of Elasticity/Torque^2)

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