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Strain Energy given Moment Value Formula

GoStrain Energy due to Pure Shear Formula

GoStrain Energy due to Torsion in Hollow Shaft Formula

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The Strain Energy is defined as the energy stored in a body due to deformation. Check FAQs

U = \frac{M b \cdot M b \cdot L}{2 \cdot e \cdot I}

U - Strain Energy?M_b - Bending Moment?L - Length?e - Elastic Modulus?I - Moment of Inertia?

Strain Energy given Moment Value Example

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Here is how the Strain Energy given Moment Value equation looks like with Values.

Here is how the Strain Energy given Moment Value equation looks like with Units.

Here is how the Strain Energy given Moment Value equation looks like.

0.31 = \frac{103 \cdot 103 \cdot 3287.3}{2 \cdot 50 \cdot 1.125}

0.31KJ = \frac{103N*m \cdot 103N*m \cdot 3287.3mm}{2 \cdot 50Pa \cdot 1.125kg·m²}

0.31 = \frac{103 \cdot 103 \cdot 3287.3}{2 \cdot 50 \cdot 1.125}

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Strain Energy given Moment Value Solution

Follow our step by step solution on how to calculate Strain Energy given Moment Value?

FIRST Step Consider the formula

U = \frac{M b \cdot M b \cdot L}{2 \cdot e \cdot I}

Next Step Substitute values of Variables

∴

U = \frac{103N*m \cdot 103N*m \cdot 3287.3mm}{2 \cdot 50Pa \cdot 1.125kg·m²}

Next Step Convert Units

∴

U = \frac{103N*m \cdot 103N*m \cdot 3.2873m}{2 \cdot 50Pa \cdot 1.125kg·m²}

Next Step Prepare to Evaluate

∴

U = \frac{103 \cdot 103 \cdot 3.2873}{2 \cdot 50 \cdot 1.125}

Next Step Evaluate

∴

U = 309.999695111111J

Next Step Convert to Output's Unit

∴

U = 0.309999695111111KJ

LAST Step Rounding Answer

∴

U = 0.31KJ

Strain Energy given Moment Value Formula Elements

Variables

Strain Energy

The Strain Energy is defined as the energy stored in a body due to deformation.

Symbol: U

Measurement: EnergyUnit: KJ

Note: Value should be greater than 0.

Formulas to find Strain Energy

Bending Moment

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.

Symbol: M_b

Measurement: Moment of ForceUnit: N*m

Note: Value should be greater than 0.

Formulas to find Bending Moment

Length

Length is the measurement or extent of something from end to end.

Symbol: L

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Length

Elastic Modulus

The Elastic Modulus refers to the ratio of stress to strain.

Symbol: e

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Elastic Modulus

Moment of Inertia

Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.

Symbol: I

Measurement: Moment of InertiaUnit: kg·m²

Note: Value should be greater than 0.

Formulas to find Moment of Inertia

Other Formulas to find Strain Energy

Go Strain Energy due to Pure Shear

U = 𝜏 \cdot 𝜏 \cdot \frac{V T}{2 \cdot G pa}

Go Strain Energy due to Torsion in Hollow Shaft

U = 𝜏^{2} \cdot ({d outer}^{2} + {d inner}^{2}) \cdot \frac{V}{4 \cdot G pa \cdot {d outer}^{2}}

Go Strain Energy given Applied Tension Load

U = W^{2} \cdot \frac{L}{2 \cdot A Base \cdot E}

Go Strain Energy given Torsion Moment Value

U = \frac{T^{2} \cdot L}{2 \cdot G pa \cdot J}

Other formulas in Strain Energy category

Go Strain Energy Density

S d = 0.5 \cdot σ \cdot ε

How to Evaluate Strain Energy given Moment Value?

Strain Energy given Moment Value evaluator uses Strain Energy = (Bending Moment*Bending Moment*Length)/(2*Elastic Modulus*Moment of Inertia) to evaluate 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 evaluate Strain Energy given Moment Value using this online evaluator? To use this online evaluator 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.

FAQs on Strain Energy given Moment Value

What is the formula to find Strain Energy given Moment Value?

The formula of Strain Energy given Moment Value is expressed as Strain Energy = (Bending Moment*Bending Moment*Length)/(2*Elastic Modulus*Moment of Inertia). Here is an example- 7.3E-7 = (103*103*3.2873)/(2*50*1.125).

How to calculate Strain Energy given Moment Value?

With Bending Moment (M_b), Length (L), Elastic Modulus (e) & Moment of Inertia (I) we can find Strain Energy given Moment Value using the formula - Strain Energy = (Bending Moment*Bending Moment*Length)/(2*Elastic Modulus*Moment of Inertia).

What are the other ways to Calculate Strain Energy?

Here are the different ways to Calculate Strain Energy-

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)

Can the Strain Energy given Moment Value be negative?

No, the Strain Energy given Moment Value, measured in Energy cannot be negative.

Which unit is used to measure Strain Energy given Moment Value?

Strain Energy given Moment Value is usually measured using the Kilojoule[KJ] for Energy. Joule[KJ], Gigajoule[KJ], Megajoule[KJ] are the few other units in which Strain Energy given Moment Value can be measured.

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Strain Energy given Moment Value Formula

​GoStrain Energy due to Pure Shear Formula

​GoStrain Energy due to Torsion in Hollow Shaft Formula

Strain Energy given Moment Value Example

Strain Energy given Moment Value Solution

Strain Energy given Moment Value Formula Elements

Other Formulas to find Strain Energy

Other formulas in Strain Energy category

How to Evaluate Strain Energy given Moment Value?

FAQs on Strain Energy given Moment Value

Variable Name

GoStrain Energy due to Pure Shear Formula

GoStrain Energy due to Torsion in Hollow Shaft Formula