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Young's Modulus of Elasticity Formula

GoYoung's Modulus Formula

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Young's Modulus is a fundamental mechanical property that indicates how much a material will deform under a given load. Check FAQs

E = \frac{F s \cdot d}{A elast \cdot l}

E - Young's Modulus?F_s - Shear Force?d - Perpendicular Distance?A_elast - Area?l - Displacement of Upper Surface?

Young's Modulus of Elasticity Example

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Here is how the Young's Modulus of Elasticity equation looks like with Values.

Here is how the Young's Modulus of Elasticity equation looks like with Units.

Here is how the Young's Modulus of Elasticity equation looks like.

3006.0606 = \frac{1.2E+6 \cdot 2}{55 \cdot 15}

3006.0606N/m = \frac{1.2E+6N \cdot 2m}{55m² \cdot 15m}

3006.0606 = \frac{1.2E+6 \cdot 2}{55 \cdot 15}

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Young's Modulus of Elasticity Solution

Follow our step by step solution on how to calculate Young's Modulus of Elasticity?

FIRST Step Consider the formula

E = \frac{F s \cdot d}{A elast \cdot l}

Next Step Substitute values of Variables

∴

E = \frac{1.2E+6N \cdot 2m}{55m² \cdot 15m}

Next Step Prepare to Evaluate

∴

E = \frac{1.2E+6 \cdot 2}{55 \cdot 15}

Next Step Evaluate

∴

E = 3006.06060606061N/m

LAST Step Rounding Answer

∴

E = 3006.0606N/m

Young's Modulus of Elasticity Formula Elements

Variables

Young's Modulus

Young's Modulus is a fundamental mechanical property that indicates how much a material will deform under a given load.

Symbol: E

Measurement: Stiffness ConstantUnit: N/m

Note: Value should be greater than 0.

Formulas to find Young's Modulus

Shear Force

Shear Force is the force that causes deformation by applying a load parallel to the surface, resulting in a change in the shape of the object.

Symbol: F_s

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Shear Force

Perpendicular Distance

The Perpendicular Distance between two objects is the distance from one to the other, measured along a line that is perpendicular to one or both.

Symbol: d

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Perpendicular Distance

Area

The Area is the amount of two-dimensional space taken up by an object.

Symbol: A_elast

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area

Displacement of Upper Surface

Displacement of Upper Surface refers to the change in position of the upper layer of an elastic material when subjected to external forces, which is recoverable once the stress is removed.

Symbol: l

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Displacement of Upper Surface

Other Formulas to find Young's Modulus

Go Young's Modulus

E = \frac{σ}{ε}

How to Evaluate Young's Modulus of Elasticity?

Young's Modulus of Elasticity evaluator uses Young's Modulus = (Shear Force*Perpendicular Distance)/(Area*Displacement of Upper Surface) to evaluate the Young's Modulus, Young's Modulus of Elasticity formula is defined as a measure of the stiffness of a solid material, representing the ratio of stress to strain within the proportional limit of the material's elastic deformation, providing a fundamental property in understanding the behavior of materials under different types of loads. Young's Modulus is denoted by E symbol.

How to evaluate Young's Modulus of Elasticity using this online evaluator? To use this online evaluator for Young's Modulus of Elasticity, enter Shear Force (F_s), Perpendicular Distance (d), Area (A_elast) & Displacement of Upper Surface (l) and hit the calculate button.

FAQs on Young's Modulus of Elasticity

What is the formula to find Young's Modulus of Elasticity?

The formula of Young's Modulus of Elasticity is expressed as Young's Modulus = (Shear Force*Perpendicular Distance)/(Area*Displacement of Upper Surface). Here is an example- 1600 = (1240000*2)/(55*15).

How to calculate Young's Modulus of Elasticity?

With Shear Force (F_s), Perpendicular Distance (d), Area (A_elast) & Displacement of Upper Surface (l) we can find Young's Modulus of Elasticity using the formula - Young's Modulus = (Shear Force*Perpendicular Distance)/(Area*Displacement of Upper Surface).

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

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

Young's Modulus=Stress/Strain

Can the Young's Modulus of Elasticity be negative?

No, the Young's Modulus of Elasticity, measured in Stiffness Constant cannot be negative.

Which unit is used to measure Young's Modulus of Elasticity?

Young's Modulus of Elasticity 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 Young's Modulus of Elasticity can be measured.

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Young's Modulus of Elasticity Formula

​GoYoung's Modulus Formula

Young's Modulus of Elasticity Example

Young's Modulus of Elasticity Solution

Young's Modulus of Elasticity Formula Elements

Other Formulas to find Young's Modulus

How to Evaluate Young's Modulus of Elasticity?

FAQs on Young's Modulus of Elasticity

Variable Name

GoYoung's Modulus Formula