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Elastic Modulus Formula

GoHooke's Law 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}

1600N/m = \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 = 1600N/m

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: Stiffness ConstantUnit: N/m

Note: Value should be greater than 0.

Formulas to find Young's Modulus

Stress

The Stress refers to the material is the force per unit area applied to the material. The maximum stress a material can stand before it breaks is called the breaking stress or ultimate tensile stress.

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 to find Young's Modulus

Go Hooke's Law

E = \frac{W load \cdot δl}{A Base \cdot l 0}

Other formulas in Stress and Strain category

Go Elongation Circular Tapered Bar

∆ = \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 = \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

∆ = \frac{2 \cdot W load \cdot L bar}{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 is defined as the ratio of stress to strain. 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.

What are the other ways to Calculate Young's Modulus?

Here are the different ways to Calculate Young's Modulus-

Young's Modulus=(Load*Elongation)/(Area of Base*Initial Length)

Can the Elastic Modulus be negative?

No, the Elastic Modulus, measured in Stiffness Constant cannot be negative.

Which unit is used to measure Elastic Modulus?

Elastic Modulus is usually measured using the Newton per Meter[N/m] for Stiffness Constant. Newton per Millimeter[N/m], Kilonewton per Millimeter[N/m] are the few other units in which Elastic Modulus can be measured.

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