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Modulus of Elasticity of Member given Strain Energy Stored by Member Formula

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Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain. Check FAQs

E = \frac{(σ^{2}) \cdot A \cdot L}{2 \cdot U member}

E - Young's Modulus?σ - Direct Stress?A - Area of Cross-Section?L - Length of Member?U_member - Strain Energy stored by Member?

Modulus of Elasticity of Member given Strain Energy Stored by Member Example

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Here is how the Modulus of Elasticity of Member given Strain Energy Stored by Member equation looks like with Values.

Here is how the Modulus of Elasticity of Member given Strain Energy Stored by Member equation looks like with Units.

Here is how the Modulus of Elasticity of Member given Strain Energy Stored by Member equation looks like.

20000.0019 = \frac{({26.78}^{2}) \cdot 5600 \cdot 3000}{2 \cdot 301.2107}

20000.0019MPa = \frac{({26.78MPa}^{2}) \cdot 5600mm² \cdot 3000mm}{2 \cdot 301.2107N*m}

20000.0019 = \frac{({26.78}^{2}) \cdot 5600 \cdot 3000}{2 \cdot 301.2107}

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Modulus of Elasticity of Member given Strain Energy Stored by Member Solution

Follow our step by step solution on how to calculate Modulus of Elasticity of Member given Strain Energy Stored by Member?

FIRST Step Consider the formula

E = \frac{(σ^{2}) \cdot A \cdot L}{2 \cdot U member}

Next Step Substitute values of Variables

∴

E = \frac{({26.78MPa}^{2}) \cdot 5600mm² \cdot 3000mm}{2 \cdot 301.2107N*m}

Next Step Convert Units

∴

E = \frac{({2.7E+7Pa}^{2}) \cdot 0.0056m² \cdot 3m}{2 \cdot 301.2107J}

Next Step Prepare to Evaluate

∴

E = \frac{({2.7E+7}^{2}) \cdot 0.0056 \cdot 3}{2 \cdot 301.2107}

Next Step Evaluate

∴

E = 20000001859.1637Pa

Next Step Convert to Output's Unit

∴

E = 20000.0018591637MPa

LAST Step Rounding Answer

∴

E = 20000.0019MPa

Modulus of Elasticity of Member given Strain Energy Stored by Member Formula Elements

Variables

Young's Modulus

Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.

Symbol: E

Measurement: StressUnit: MPa

Note: Value can be positive or negative.

Formulas to find Young's Modulus

Direct Stress

Direct Stress is the stress developed due to force applied which is parallel or collinear to the axis of the component.

Symbol: σ

Measurement: StressUnit: MPa

Note: Value can be positive or negative.

Formulas to find Direct Stress

Area of Cross-Section

Area of Cross-section is a cross-sectional area which we obtain when the same object is cut into two pieces. The area of that particular cross-section is known as the cross-sectional area.

Symbol: A

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Area of Cross-Section

Length of Member

Length of Member is the measurement or extent of member (beam or column) from end to end.

Symbol: L

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Length of Member

Strain Energy stored by Member

Strain Energy stored by Member is the energy stored in a body due to its elastic deformation.

Symbol: U_member

Measurement: EnergyUnit: N*m

Note: Value should be greater than 0.

Formulas to find Strain Energy stored by Member

Other formulas in Strain Energy stored by the Member category

Go Strain Energy Stored by Member

U member = (\frac{σ^{2}}{2 \cdot E}) \cdot A \cdot L

Go Length of Member given Strain Energy Stored by Member

L = \frac{2 \cdot E \cdot U member}{A \cdot σ^{2}}

Go Area of Member given Strain Energy Stored by Member

A = \frac{2 \cdot E \cdot U member}{L \cdot σ^{2}}

Go Stress of Member given Strain Energy Stored by Member

σ = \sqrt{\frac{2 \cdot U member \cdot E}{A \cdot L}}

How to Evaluate Modulus of Elasticity of Member given Strain Energy Stored by Member?

Modulus of Elasticity of Member given Strain Energy Stored by Member evaluator uses Young's Modulus = ((Direct Stress^2)*Area of Cross-Section*Length of Member)/(2*Strain Energy stored by Member) to evaluate the Young's Modulus, The Modulus of Elasticity of Member given Strain Energy Stored by Member formula is defined as the modulus of elasticity of material used to make member. Young's Modulus is denoted by E symbol.

How to evaluate Modulus of Elasticity of Member given Strain Energy Stored by Member using this online evaluator? To use this online evaluator for Modulus of Elasticity of Member given Strain Energy Stored by Member, enter Direct Stress (σ), Area of Cross-Section (A), Length of Member (L) & Strain Energy stored by Member (U_member) and hit the calculate button.

FAQs on Modulus of Elasticity of Member given Strain Energy Stored by Member

What is the formula to find Modulus of Elasticity of Member given Strain Energy Stored by Member?

The formula of Modulus of Elasticity of Member given Strain Energy Stored by Member is expressed as Young's Modulus = ((Direct Stress^2)*Area of Cross-Section*Length of Member)/(2*Strain Energy stored by Member). Here is an example- 0.02 = ((26780000^2)*0.0056*3)/(2*301.2107).

How to calculate Modulus of Elasticity of Member given Strain Energy Stored by Member?

With Direct Stress (σ), Area of Cross-Section (A), Length of Member (L) & Strain Energy stored by Member (U_member) we can find Modulus of Elasticity of Member given Strain Energy Stored by Member using the formula - Young's Modulus = ((Direct Stress^2)*Area of Cross-Section*Length of Member)/(2*Strain Energy stored by Member).

Can the Modulus of Elasticity of Member given Strain Energy Stored by Member be negative?

Yes, the Modulus of Elasticity of Member given Strain Energy Stored by Member, measured in Stress can be negative.

Which unit is used to measure Modulus of Elasticity of Member given Strain Energy Stored by Member?

Modulus of Elasticity of Member given Strain Energy Stored by Member is usually measured using the Megapascal[MPa] for Stress. Pascal[MPa], Newton per Square Meter[MPa], Newton per Square Millimeter[MPa] are the few other units in which Modulus of Elasticity of Member given Strain Energy Stored by Member can be measured.

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Modulus of Elasticity of Member given Strain Energy Stored by Member Formula

Modulus of Elasticity of Member given Strain Energy Stored by Member Example

Modulus of Elasticity of Member given Strain Energy Stored by Member Solution

Modulus of Elasticity of Member given Strain Energy Stored by Member Formula Elements

Other formulas in Strain Energy stored by the Member category

How to Evaluate Modulus of Elasticity of Member given Strain Energy Stored by Member?

FAQs on Modulus of Elasticity of Member given Strain Energy Stored by Member

Variable Name