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

Category	Engineering ↺
Engineering	Civil ↺
Civil	Beams ↺
Beams	Strain Energy in Structural Members ↺

✖The Strain energy is defined as the energy stored in a body due to deformation. ⓘ Strain Energy [U]			+10% -10%
✖The Polar moment of Inertia is a shaft or beam's resistance to being distorted by torsion, as a function of its shape. ⓘ Polar moment of Inertia [J]			+10% -10%
✖Shear Modulus of Elasticity is one of the measures of mechanical properties of solids. Other elastic moduli are Young's modulus and bulk modulus.ⓘ Shear Modulus of Elasticity [G]			+10% -10%
✖Torque is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force. It is characterized by τ.ⓘ Torque [τ]			+10% -10%

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

⎘ Copy

👎 Report Issue!

👍 Share Now!

You are here:

Home »
Engineering »
Civil »
Beams »
Strain Energy in Structural Members »
Length over which Deformation Takes Place when Strain Energy in Torsion 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

Total Angle of Twist

Total Angle of Twist=(Torque*Length of Shaft)/(Shear Modulus*Polar moment of Inertia) GO

Equivalent Bending Moment

Equivalent Bending Moment=Bending moment+sqrt(Bending moment^(2)+Torque^(2)) GO

Strain Energy if Torsion Moment Value is Given

Strain Energy=Torsion load*Length/(2*Shear Modulus*Polar moment of Inertia) GO

Torsional Shear Stress

Torsional Shear Stress=Torque*Radius of Shaft/Polar moment of Inertia GO

Mechanical Efficiency

Efficiency =Induced voltage*Armature Current/Angular Speed*Torque GO

Equivalent Torsional Moment

Equivalent Torsion Moment=sqrt(Bending moment^(2)+Torque^(2)) GO

Shaft power

Shaft power=2*pi*Revolutions per second*Torque GO

Strain Energy in Torsion

Strain Energy=0.5*Torque*Total Angle of Twist GO

Power Transmitted

Shaft power=(2*pi*Speed of Rotation*Torque) GO

Power Generated When Torque is Given

Power=Angular Speed*Torque GO

Work done in one revolution for prony brake dynamometer

Work =Torque*2*pi GO

< 11 Other formulas that calculate the same Output

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

Length=Strain Energy*(2*Modulus Of Elasticity*Moment of Inertia)/(Bending moment^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 Torsion is Given Formula

Length=sqrt(2*Strain Energy*Polar moment of Inertia*Shear Modulus of Elasticity/Torque^2)
l=sqrt(2*U*J*G/τ^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

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

Length over which Deformation Takes Place 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 is Torque in human body?

Torque is the driving force for human movement. Being able to manipulate the target muscle torque will allow for a more specific intervention. Moment Arm of a force system is the perpendicular distance from an axis to the line of action of a force. Torque is the ability of a force to cause rotation on a lever.

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

Length over which Deformation Takes Place when Strain Energy in Torsion is Given calculator uses Length=sqrt(2*Strain Energy*Polar moment of Inertia*Shear Modulus of Elasticity/Torque^2) to calculate the Length, The Length over which Deformation Takes Place when Strain Energy in Torsion is Given formula is defined as original length of specimen or structure or body before the deformation takes place due to torsion. Length and is denoted by l symbol.

How to calculate Length over which Deformation Takes Place when Strain Energy in Torsion is Given using this online calculator? To use this online calculator for Length over which Deformation Takes Place when Strain Energy in Torsion is Given, enter Strain Energy (U), Polar moment of Inertia (J), Shear Modulus of Elasticity (G) and Torque (τ) and hit the calculate button. Here is how the Length over which Deformation Takes Place when Strain Energy in Torsion is Given calculation can be explained with given input values -> 14.14214 = sqrt(2*50*50*100/50^2).

FAQ

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

The Length over which Deformation Takes Place when Strain Energy in Torsion is Given formula is defined as original length of specimen or structure or body before the deformation takes place due to torsion and is represented as l=sqrt(2*U*J*G/τ^2) or Length=sqrt(2*Strain Energy*Polar moment of Inertia*Shear Modulus of Elasticity/Torque^2). The Strain energy is defined as the energy stored in a body due to deformation. , The Polar moment of Inertia is a shaft or beam's resistance to being distorted by torsion, as a function of its shape. , Shear Modulus of Elasticity is one of the measures of mechanical properties of solids. Other elastic moduli are Young's modulus and bulk modulus and Torque is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force. It is characterized by τ.

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

The Length over which Deformation Takes Place when Strain Energy in Torsion is Given formula is defined as original length of specimen or structure or body before the deformation takes place due to torsion is calculated using Length=sqrt(2*Strain Energy*Polar moment of Inertia*Shear Modulus of Elasticity/Torque^2). To calculate Length over which Deformation Takes Place when Strain Energy in Torsion is Given, you need Strain Energy (U), Polar moment of Inertia (J), Shear Modulus of Elasticity (G) and Torque (τ). With our tool, you need to enter the respective value for Strain Energy, Polar moment of Inertia, Shear Modulus of Elasticity and Torque 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, Polar moment of Inertia, Shear Modulus of Elasticity and Torque. 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=Strain Energy*(2*Modulus Of Elasticity*Moment of Inertia)/(Bending moment^2)

Facebook
Twitter
WhatsApp
Reddit
LinkedIn
E-Mail

Let Others Know

✖

Facebook

Twitter

Copied!