Young's Modulus of Elasticity Calculator

✖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.ⓘ Shear Force [F_s]			+10% -10%
✖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.ⓘ Perpendicular Distance [d]			+10% -10%
✖The Area is the amount of two-dimensional space taken up by an object.ⓘ Area [A_elast]			+10% -10%
✖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.ⓘ Displacement of Upper Surface [l]			+10% -10%

✖Young's Modulus is a fundamental mechanical property that indicates how much a material will deform under a given load.ⓘ Young's Modulus of Elasticity [E]

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Formula

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Young's Modulus of Elasticity

Formula

`"E" = ("F"_{"s"}*"d")/("A"_{"elast"}*"l")`

Example

`"3006.061N/m"=("1240000N"*"2m")/("55m²"*"15m")`

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Young's Modulus of Elasticity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Young's Modulus = (Shear Force*Perpendicular Distance)/(Area*Displacement of Upper Surface)
E = (F_s*d)/(A_elast*l)
This formula uses 5 Variables

Variables Used

Young's Modulus - (Measured in Newton per Meter) - Young's Modulus is a fundamental mechanical property that indicates how much a material will deform under a given load.
Shear Force - (Measured in Newton) - 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.
Perpendicular Distance - (Measured in Meter) - 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.
Area - (Measured in Square Meter) - The Area is the amount of two-dimensional space taken up by an object.
Displacement of Upper Surface - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Shear Force: 1240000 Newton --> 1240000 Newton No Conversion Required
Perpendicular Distance: 2 Meter --> 2 Meter No Conversion Required
Area: 55 Square Meter --> 55 Square Meter No Conversion Required
Displacement of Upper Surface: 15 Meter --> 15 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E = (F_s*d)/(A_elast*l) --> (1240000*2)/(55*15)

Evaluating ... ...

E = 3006.06060606061

STEP 3: Convert Result to Output's Unit

3006.06060606061 Newton per Meter --> No Conversion Required

FINAL ANSWER

3006.06060606061 ≈ 3006.061 Newton per Meter <-- Young's Modulus

(Calculation completed in 00.004 seconds)

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Indian Institute of Information Technology (IIIT), Guwahati

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< 2 Modulus of Elasticity Calculators

Young's Modulus of Elasticity

Go Young's Modulus = (Shear Force*Perpendicular Distance)/(Area*Displacement of Upper Surface)

Young's Modulus

Go Young's Modulus = Stress/Strain

Young's Modulus of Elasticity Formula

Young's Modulus = (Shear Force*Perpendicular Distance)/(Area*Displacement of Upper Surface)
E = (F_s*d)/(A_elast*l)

What is Young's Modulus ?

Young's Modulus is a measure of the stiffness of a material. It quantifies the relationship between tensile stress and tensile strain in a linear elastic material.

How to Calculate Young's Modulus of Elasticity?

Young's Modulus of Elasticity calculator uses Young's Modulus = (Shear Force*Perpendicular Distance)/(Area*Displacement of Upper Surface) to calculate 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 calculate Young's Modulus of Elasticity using this online calculator? To use this online calculator 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. Here is how the Young's Modulus of Elasticity calculation can be explained with given input values -> 1600 = (1240000*2)/(55*15).

FAQ

What is Young's Modulus of Elasticity?

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 and is represented as E = (F_s*d)/(A_elast*l) or Young's Modulus = (Shear Force*Perpendicular Distance)/(Area*Displacement of Upper Surface). 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, 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, The Area is the amount of two-dimensional space taken up by an object & 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.

How to calculate Young's Modulus of Elasticity?

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 is calculated using Young's Modulus = (Shear Force*Perpendicular Distance)/(Area*Displacement of Upper Surface). To calculate Young's Modulus of Elasticity, you need Shear Force (F_s), Perpendicular Distance (d), Area (A_elast) & Displacement of Upper Surface (l). With our tool, you need to enter the respective value for Shear Force, Perpendicular Distance, Area & Displacement of Upper Surface and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Young's Modulus?

In this formula, Young's Modulus uses Shear Force, Perpendicular Distance, Area & Displacement of Upper Surface. We can use 1 other way(s) to calculate the same, which is/are as follows -

Young's Modulus = Stress/Strain

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