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
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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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