Strain Energy given Applied Tension Load Calculator

✖Load is the instantaneous load applied perpendicular to the specimen cross section.ⓘ Load [W]			+10% -10%
✖Length is the measurement or extent of something from end to end.ⓘ Length [L]			+10% -10%
✖Area of Base is the total area of footing.ⓘ Area of Base [A_Base]			+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 [E]			+10% -10%

✖The Strain Energy is defined as the energy stored in a body due to deformation.ⓘ Strain Energy given Applied Tension Load [U]

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Formula

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Strain Energy given Applied Tension Load

Formula

`"U" = "W"^2*"L"/(2*"A"_{"Base"}*"E")`

Example

`"2.238695KJ"=("452N")^2*"3287.3mm"/(2*"10m²"*"15N/m")`

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Strain Energy given Applied Tension Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

Strain Energy = Load^2*Length/(2*Area of Base*Young's Modulus)
U = W^2*L/(2*A_Base*E)
This formula uses 5 Variables

Variables Used

Strain Energy - (Measured in Joule) - The Strain Energy is defined as the energy stored in a body due to deformation.
Load - (Measured in Newton) - Load is the instantaneous load applied perpendicular to the specimen cross section.
Length - (Measured in Meter) - Length is the measurement or extent of something from end to end.
Area of Base - (Measured in Square Meter) - Area of Base is the total area of footing.
Young's Modulus - (Measured in Newton per Meter) - Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.

STEP 1: Convert Input(s) to Base Unit

Load: 452 Newton --> 452 Newton No Conversion Required
Length: 3287.3 Millimeter --> 3.2873 Meter (Check conversion here)
Area of Base: 10 Square Meter --> 10 Square Meter No Conversion Required
Young's Modulus: 15 Newton per Meter --> 15 Newton per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

U = W^2*L/(2*A_Base*E) --> 452^2*3.2873/(2*10*15)

Evaluating ... ...

U = 2238.69513066667

STEP 3: Convert Result to Output's Unit

2238.69513066667 Joule -->2.23869513066667 Kilojoule (Check conversion here)

FINAL ANSWER

2.23869513066667 ≈ 2.238695 Kilojoule <-- Strain Energy

(Calculation completed in 00.004 seconds)

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Created by Pragati Jaju

College Of Engineering (COEP), Pune

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< 8 Strain Energy Calculators

Strain Energy due to Torsion in Hollow Shaft

Go Strain Energy = Shear Stress^(2)*(Outer Diameter of Shaft^(2)+Inner Diameter of Shaft^(2))*Volume of Shaft/(4*Shear Modulus*Outer Diameter of Shaft^(2))

Strain Energy given Moment Value

Go Strain Energy = (Bending Moment*Bending Moment*Length)/(2*Elastic Modulus*Moment of Inertia)

Strain Energy given Torsion Moment Value

Go Strain Energy = (Torsion Load*Length)/(2*Shear Modulus*Polar Moment of Inertia)

Strain Energy due to Pure Shear

Go Strain Energy = Shear Stress*Shear Stress*Volume/(2*Shear Modulus)

Strain Energy given Applied Tension Load

Go Strain Energy = Load^2*Length/(2*Area of Base*Young's Modulus)

Strain Energy in Torsion for Solid Shaft

Go Strain Energy = Shear Stress^(2)*Volume of Shaft/(4*Shear Modulus)

Strain Energy in Torsion using Total Angle of Twist

Go Strain Energy = 0.5*Torque*Total Angle of Twist*(180/pi)

Strain Energy Density

Go Strain Energy Density = 0.5*Principle Stress*Principle Strain

Strain Energy given Applied Tension Load Formula

Strain Energy = Load^2*Length/(2*Area of Base*Young's Modulus)
U = W^2*L/(2*A_Base*E)

What is Strain Energy?

Strain energy is defined as the energy stored in a body due to deformation. The strain energy per unit volume is known as strain energy density and the area under the stress-strain curve towards the point of deformation. When the applied force is released, the whole system returns to its original shape.

How to Calculate Strain Energy given Applied Tension Load?

Strain Energy given Applied Tension Load calculator uses Strain Energy = Load^2*Length/(2*Area of Base*Young's Modulus) to calculate the Strain Energy, Strain Energy given Applied Tension Load is half the ratio of product of length and tension load square to the product of area of member and young's modulus. Strain Energy is denoted by U symbol.

How to calculate Strain Energy given Applied Tension Load using this online calculator? To use this online calculator for Strain Energy given Applied Tension Load, enter Load (W), Length (L), Area of Base (A_Base) & Young's Modulus (E) and hit the calculate button. Here is how the Strain Energy given Applied Tension Load calculation can be explained with given input values -> 1.4E-5 = 452^2*3.2873/(2*10*15).

FAQ

What is Strain Energy given Applied Tension Load?

Strain Energy given Applied Tension Load is half the ratio of product of length and tension load square to the product of area of member and young's modulus and is represented as U = W^2*L/(2*A_Base*E) or Strain Energy = Load^2*Length/(2*Area of Base*Young's Modulus). Load is the instantaneous load applied perpendicular to the specimen cross section, Length is the measurement or extent of something from end to end, Area of Base is the total area of footing & Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.

How to calculate Strain Energy given Applied Tension Load?

Strain Energy given Applied Tension Load is half the ratio of product of length and tension load square to the product of area of member and young's modulus is calculated using Strain Energy = Load^2*Length/(2*Area of Base*Young's Modulus). To calculate Strain Energy given Applied Tension Load, you need Load (W), Length (L), Area of Base (A_Base) & Young's Modulus (E). With our tool, you need to enter the respective value for Load, Length, Area of Base & Young's Modulus 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 Strain Energy?

In this formula, Strain Energy uses Load, Length, Area of Base & Young's Modulus. We can use 6 other way(s) to calculate the same, which is/are as follows -

Strain Energy = Shear Stress*Shear Stress*Volume/(2*Shear Modulus)
Strain Energy = Shear Stress^(2)*(Outer Diameter of Shaft^(2)+Inner Diameter of Shaft^(2))*Volume of Shaft/(4*Shear Modulus*Outer Diameter of Shaft^(2))
Strain Energy = (Bending Moment*Bending Moment*Length)/(2*Elastic Modulus*Moment of Inertia)
Strain Energy = (Torsion Load*Length)/(2*Shear Modulus*Polar Moment of Inertia)
Strain Energy = Shear Stress^(2)*Volume of Shaft/(4*Shear Modulus)
Strain Energy = 0.5*Torque*Total Angle of Twist*(180/pi)

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