Young's Modulus of Elasticity Calculator

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✖Force is any interaction that, when unopposed, will change the motion of an object. In other words, a force can cause an object with mass to change its velocity.ⓘ Force [F]			+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_shm]			+10% -10%
✖Displacement of Upper Surface is the length of the difference made after force was applied.ⓘ Displacement of Upper Surface [l]			+10% -10%

✖Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.ⓘ Young's Modulus of Elasticity [E]

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Formula

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Young's Modulus of Elasticity

Formula

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

Example

`"7200Pa"=("660000N"*"3m")/("55m²"*"5m")`

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Young's Modulus of Elasticity Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Young's Modulus - (Measured in Pascal) - Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.
Force - (Measured in Newton) - Force is any interaction that, when unopposed, will change the motion of an object. In other words, a force can cause an object with mass to change its velocity.
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 is the length of the difference made after force was applied.

STEP 1: Convert Input(s) to Base Unit

Force: 660000 Newton --> 660000 Newton No Conversion Required
Perpendicular Distance: 3 Meter --> 3 Meter No Conversion Required
Area: 55 Square Meter --> 55 Square Meter No Conversion Required
Displacement of Upper Surface: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E = (F*d)/(A_shm*l) --> (660000*3)/(55*5)

Evaluating ... ...

E = 7200

STEP 3: Convert Result to Output's Unit

7200 Pascal --> No Conversion Required

FINAL ANSWER

7200 Pascal <-- Young's Modulus

(Calculation completed in 00.004 seconds)

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Created by Dipto Mandal

Indian Institute of Information Technology (IIIT), Guwahati

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National Institute Of Technology (NIT), Hamirpur

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< 9 Elasticity Calculators

Young's Modulus of Elasticity

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

Displacement of Upper Surface

Go Displacement of Upper Surface = tan(Angle of Shear)*Perpendicular Distance

Change in Length given Longitudinal Stress

Go Change in Length = Longitudinal Strain*Initial Length

Original Length given Longitudinal Stress

Go Initial Length = Change in Length/Longitudinal Strain

Change in Volume of Body given Volumetric Strain

Go Change in Volume = Volumetric Strain*Original Volume

Original Volume of Body given Volumetric Strain

Go Original Volume = Change in Volume/Volumetric Strain

Volume Strain

Go Volumetric Strain = Change in Volume/Original Volume

Normal Stress or Longitudinal Stress

Go Stress = Force/Area

Area of Body given Stress

Go Area = Force/Stress

Young's Modulus of Elasticity Formula

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

What is elasticity?

The ability of an object or material to resume its normal shape after being stretched or compressed, stretchiness.

How to Calculate Young's Modulus of Elasticity?

Young's Modulus of Elasticity calculator uses Young's Modulus = (Force*Perpendicular Distance)/(Area*Displacement of Upper Surface) to calculate the Young's Modulus, The Young's Modulus of Elasticity formula is defined as the elastic limit, the ratio of longitudinal stress and longitudinal strain is called Young’s modulus of elasticity (y). 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 Force (F), Perpendicular Distance (d), Area (A_shm) & 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 -> 7200 = (660000*3)/(55*5).

FAQ

What is Young's Modulus of Elasticity?

The Young's Modulus of Elasticity formula is defined as the elastic limit, the ratio of longitudinal stress and longitudinal strain is called Young’s modulus of elasticity (y) and is represented as E = (F*d)/(A_shm*l) or Young's Modulus = (Force*Perpendicular Distance)/(Area*Displacement of Upper Surface). Force is any interaction that, when unopposed, will change the motion of an object. In other words, a force can cause an object with mass to change its velocity, 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 is the length of the difference made after force was applied.

How to calculate Young's Modulus of Elasticity?

The Young's Modulus of Elasticity formula is defined as the elastic limit, the ratio of longitudinal stress and longitudinal strain is called Young’s modulus of elasticity (y) is calculated using Young's Modulus = (Force*Perpendicular Distance)/(Area*Displacement of Upper Surface). To calculate Young's Modulus of Elasticity, you need Force (F), Perpendicular Distance (d), Area (A_shm) & Displacement of Upper Surface (l). With our tool, you need to enter the respective value for 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.

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