Strain Energy given Moment Value Calculator

✖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_b]			+10% -10%
✖Length is the measurement or extent of something from end to end.ⓘ Length [L]			+10% -10%
✖The Elastic Modulus refers to the ratio of stress to strain.ⓘ Elastic Modulus [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 Strain Energy is defined as the energy stored in a body due to deformation.ⓘ Strain Energy given Moment Value [U]

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Strain Energy given Moment Value Solution

STEP 0: Pre-Calculation Summary

Formula Used

Strain Energy = (Bending Moment*Bending Moment*Length)/(2*Elastic Modulus*Moment of Inertia)
U = (M_b*M_b*L)/(2*e*I)
This formula uses 5 Variables

Variables Used

Strain Energy - (Measured in Joule) - The Strain Energy is defined as the energy stored in a body due to deformation.
Bending Moment - (Measured in Newton Meter) - 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.
Length - (Measured in Meter) - Length is the measurement or extent of something from end to end.
Elastic Modulus - (Measured in Pascal) - The Elastic Modulus refers to the ratio of stress to strain.
Moment of Inertia - (Measured in Kilogram Square Meter) - Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.

STEP 1: Convert Input(s) to Base Unit

Bending Moment: 103 Newton Meter --> 103 Newton Meter No Conversion Required
Length: 3287.3 Millimeter --> 3.2873 Meter (Check conversion here)
Elastic Modulus: 50 Pascal --> 50 Pascal No Conversion Required
Moment of Inertia: 1.125 Kilogram Square Meter --> 1.125 Kilogram Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

U = (M_b*M_b*L)/(2*e*I) --> (103*103*3.2873)/(2*50*1.125)

Evaluating ... ...

U = 309.999695111111

STEP 3: Convert Result to Output's Unit

309.999695111111 Joule -->0.309999695111111 Kilojoule (Check conversion here)

FINAL ANSWER

0.309999695111111 ≈ 0.31 Kilojoule <-- Strain Energy

(Calculation completed in 00.004 seconds)

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Created by Pragati Jaju

College Of Engineering (COEP), Pune

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< Strain Energy Calculators

Strain Energy due to Torsion in Hollow Shaft

LaTeX Go Strain Energy = Shear Stress^(2)*(Outer Diameter of Shaft^(2)+Inner Diameter of Shaft^(2))*Volume of Shaft/(4*Shear Modulus*Outer Diameter of Shaft^(2))

Strain Energy given Moment Value

LaTeX Go Strain Energy = (Bending Moment*Bending Moment*Length)/(2*Elastic Modulus*Moment of Inertia)

Strain Energy due to Pure Shear

LaTeX Go Strain Energy = Shear Stress*Shear Stress*Volume/(2*Shear Modulus)

Strain Energy given Applied Tension Load

LaTeX Go Strain Energy = Load^2*Length/(2*Area of Base*Young's Modulus)

Strain Energy given Moment Value Formula

LaTeX Go

Strain Energy = (Bending Moment*Bending Moment*Length)/(2*Elastic Modulus*Moment of Inertia)
U = (M_b*M_b*L)/(2*e*I)

What is Strain Energy?

Strain energy is defined as the energy stored in a body due to deformation. The strain energy per unit volume is known as strain energy density and the area under the stress-strain curve towards the point of deformation. When the applied force is released, the whole system returns to its original shape.

How to Calculate Strain Energy given Moment Value?

Strain Energy given Moment Value calculator uses Strain Energy = (Bending Moment*Bending Moment*Length)/(2*Elastic Modulus*Moment of Inertia) to calculate the Strain Energy, The Strain Energy given Moment Value formula is defined as measure of the ratio of the product of the square of bending moment and length to the product of 2 times elastic modulus and moment of inertia. Strain Energy is denoted by U symbol.

How to calculate Strain Energy given Moment Value using this online calculator? To use this online calculator for Strain Energy given Moment Value, enter Bending Moment (M_b), Length (L), Elastic Modulus (e) & Moment of Inertia (I) and hit the calculate button. Here is how the Strain Energy given Moment Value calculation can be explained with given input values -> 7.3E-7 = (103*103*3.2873)/(2*50*1.125).

FAQ

What is Strain Energy given Moment Value?

The Strain Energy given Moment Value formula is defined as measure of the ratio of the product of the square of bending moment and length to the product of 2 times elastic modulus and moment of inertia and is represented as U = (M_b*M_b*L)/(2*e*I) or Strain Energy = (Bending Moment*Bending Moment*Length)/(2*Elastic Modulus*Moment of Inertia). 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, Length is the measurement or extent of something from end to end, The Elastic Modulus refers to the ratio of stress to strain & Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.

How to calculate Strain Energy given Moment Value?

The Strain Energy given Moment Value formula is defined as measure of the ratio of the product of the square of bending moment and length to the product of 2 times elastic modulus and moment of inertia is calculated using Strain Energy = (Bending Moment*Bending Moment*Length)/(2*Elastic Modulus*Moment of Inertia). To calculate Strain Energy given Moment Value, you need Bending Moment (M_b), Length (L), Elastic Modulus (e) & Moment of Inertia (I). With our tool, you need to enter the respective value for Bending Moment, Length, Elastic Modulus & 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 Strain Energy?

In this formula, Strain Energy uses Bending Moment, Length, Elastic Modulus & Moment of Inertia. We can use 3 other way(s) to calculate the same, which is/are as follows -

Strain Energy = Shear Stress*Shear Stress*Volume/(2*Shear Modulus)
Strain Energy = Shear Stress^(2)*(Outer Diameter of Shaft^(2)+Inner Diameter of Shaft^(2))*Volume of Shaft/(4*Shear Modulus*Outer Diameter of Shaft^(2))
Strain Energy = Load^2*Length/(2*Area of Base*Young's Modulus)

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