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Elastic Modulus 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}{ε}

E - Young's Modulus?σ - Stress?ε - Strain?

Elastic Modulus Example

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Here is how the Elastic Modulus equation looks like with Values.

Here is how the Elastic Modulus equation looks like with Units.

Here is how the Elastic Modulus equation looks like.

1600 = \frac{1200}{0.75}

1600Pa = \frac{1200Pa}{0.75}

1600 = \frac{1200}{0.75}

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Elastic Modulus Solution

Follow our step by step solution on how to calculate Elastic Modulus?

FIRST Step Consider the formula

E = \frac{σ}{ε}

Next Step Substitute values of Variables

∴

E = \frac{1200Pa}{0.75}

Next Step Prepare to Evaluate

∴

E = \frac{1200}{0.75}

LAST Step Evaluate

∴

E = 1600Pa

Elastic Modulus 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: Pa

Note: Value should be greater than 0.

Formulas to find Young's Modulus

Stress

Stress is defined as the internal force per unit area within a material, arising due to externally applied loads. It quantifies the material's internal resistance to deformation.

Symbol: σ

Measurement: StressUnit: Pa

Note: Value should be greater than 0.

Formulas to find Stress

Strain

Strain is simply the measure of how much an object is stretched or deformed.

Symbol: ε

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Strain

Other formulas in Stress and Strain category

Go Elongation Circular Tapered Bar

Δ c = \frac{4 \cdot W load \cdot L bar}{π \cdot D 1 \cdot D 2 \cdot e}

Go Moment of Inertia for Hollow Circular Shaft

J h = \frac{π}{32} \cdot ({d ho}^{4} - {d hi}^{4})

Go Moment of Inertia about Polar Axis

J = \frac{π \cdot {d s}^{4}}{32}

Go Elongation of Prismatic Bar due to its Own Weight

Δ p = \frac{W load \cdot L bar}{2 \cdot A \cdot e}

How to Evaluate Elastic Modulus?

Elastic Modulus evaluator uses Young's Modulus = Stress/Strain to evaluate the Young's Modulus, The Elastic Modulus formula is defined as a measure of the stiffness of a solid material, which is a fundamental property in the field of materials science, describing the material's ability to resist deformation under stress, and is a critical parameter in engineering design and material selection. Young's Modulus is denoted by E symbol.

How to evaluate Elastic Modulus using this online evaluator? To use this online evaluator for Elastic Modulus, enter Stress (σ) & Strain (ε) and hit the calculate button.

FAQs on Elastic Modulus

What is the formula to find Elastic Modulus?

The formula of Elastic Modulus is expressed as Young's Modulus = Stress/Strain. Here is an example- 1600 = 1200/0.75.

How to calculate Elastic Modulus?

With Stress (σ) & Strain (ε) we can find Elastic Modulus using the formula - Young's Modulus = Stress/Strain.

Can the Elastic Modulus be negative?

No, the Elastic Modulus, measured in Stress cannot be negative.

Which unit is used to measure Elastic Modulus?

Elastic Modulus is usually measured using the Pascal[Pa] for Stress. Newton per Square Meter[Pa], Newton per Square Millimeter[Pa], Kilonewton per Square Meter[Pa] are the few other units in which Elastic Modulus can be measured.

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