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Stress using Hook's Law Formula

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

σ = E \cdot ε L

σ - Direct Stress?E - Young's Modulus?ε_L - Lateral Strain?

Stress using Hook's Law Example

With values

With units

Only example

Here is how the Stress using Hook's Law equation looks like with Values.

Here is how the Stress using Hook's Law equation looks like with Units.

Here is how the Stress using Hook's Law equation looks like.

400 = 20000 \cdot 0.02

400MPa = 20000MPa \cdot 0.02

400 = 20000 \cdot 0.02

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Stress using Hook's Law Solution

Follow our step by step solution on how to calculate Stress using Hook's Law?

FIRST Step Consider the formula

σ = E \cdot ε L

Next Step Substitute values of Variables

∴

σ = 20000MPa \cdot 0.02

Next Step Convert Units

∴

σ = 2E+10Pa \cdot 0.02

Next Step Prepare to Evaluate

∴

σ = 2E+10 \cdot 0.02

Next Step Evaluate

∴

σ = 400000000Pa

LAST Step Convert to Output's Unit

∴

σ = 400MPa

Stress using Hook's Law Formula Elements

Variables

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

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

Lateral Strain

Lateral Strain is the ratio of change in diameter to original diameter.

Symbol: ε_L

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Lateral Strain

Other formulas in Strain Energy in Structural Members category

Go Shear Force using Strain Energy

V = \sqrt{2 \cdot U \cdot A \cdot \frac{G Torsion}{L}}

Go Strain Energy in Shear

U = (V^{2}) \cdot \frac{L}{2 \cdot A \cdot G Torsion}

Go Length over which Deformation takes place given Strain Energy in Shear

L = 2 \cdot U \cdot A \cdot \frac{G Torsion}{V^{2}}

Go Shear Area given Strain Energy in Shear

A = (V^{2}) \cdot \frac{L}{2 \cdot U \cdot G Torsion}

How to Evaluate Stress using Hook's Law?

Stress using Hook's Law evaluator uses Direct Stress = Young's Modulus*Lateral Strain to evaluate the Direct Stress, The Stress using Hook's Law formula is defined as Modulus of Elasticity*Strain i.e., s=E*e Hook's Law states that stress is proportional to strain up to an elastic limit. Direct Stress is denoted by σ symbol.

How to evaluate Stress using Hook's Law using this online evaluator? To use this online evaluator for Stress using Hook's Law, enter Young's Modulus (E) & Lateral Strain (ε_L) and hit the calculate button.

FAQs on Stress using Hook's Law

What is the formula to find Stress using Hook's Law?

The formula of Stress using Hook's Law is expressed as Direct Stress = Young's Modulus*Lateral Strain. Here is an example- 0.0004 = 20000000000*0.02.

How to calculate Stress using Hook's Law?

With Young's Modulus (E) & Lateral Strain (ε_L) we can find Stress using Hook's Law using the formula - Direct Stress = Young's Modulus*Lateral Strain.

Can the Stress using Hook's Law be negative?

Yes, the Stress using Hook's Law, measured in Stress can be negative.

Which unit is used to measure Stress using Hook's Law?

Stress using Hook's Law 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 Stress using Hook's Law can be measured.

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Stress using Hook's Law Formula

Stress using Hook's Law Example

Stress using Hook's Law Solution

Stress using Hook's Law Formula Elements

Other formulas in Strain Energy in Structural Members category

How to Evaluate Stress using Hook's Law?

FAQs on Stress using Hook's Law

Variable Name