Strain Energy Stored in Body Calculator

✖Stress induced is the resistance developed within a body due to an external load applied.ⓘ Stress induced [σ_induced]			+10% -10%
✖Volume of Body is the amount of space that a substance or object occupies or that is enclosed within a container.ⓘ Volume of Body [V_T]			+10% -10%
✖Modulus of Elasticity Of Bar is a quantity that measures bar's resistance to being deformed elastically when a stress is applied to it.ⓘ Modulus of Elasticity Of Bar [E_bar]			+10% -10%

✖Strain Energy in body is defined as the energy stored in a body due to deformation.ⓘ Strain Energy Stored in Body [U_body]

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Formula

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Strain Energy Stored in Body

Formula

`"U"_{"body"} = ("σ"_{"induced"}^2*"V"_{"T"})/(2*"E"_{"bar"})`

Example

`"11454.55KJ"=(("2MPa")^2*"63m³")/(2*"11MPa")`

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Strain Energy Stored in Body Solution

STEP 0: Pre-Calculation Summary

Formula Used

Strain Energy in body = (Stress induced^2*Volume of Body)/(2*Modulus of Elasticity Of Bar)
U_body = (σ_induced^2*V_T)/(2*E_bar)
This formula uses 4 Variables

Variables Used

Strain Energy in body - (Measured in Joule) - Strain Energy in body is defined as the energy stored in a body due to deformation.
Stress induced - (Measured in Pascal) - Stress induced is the resistance developed within a body due to an external load applied.
Volume of Body - (Measured in Cubic Meter) - Volume of Body is the amount of space that a substance or object occupies or that is enclosed within a container.
Modulus of Elasticity Of Bar - (Measured in Pascal) - Modulus of Elasticity Of Bar is a quantity that measures bar's resistance to being deformed elastically when a stress is applied to it.

STEP 1: Convert Input(s) to Base Unit

Stress induced: 2 Megapascal --> 2000000 Pascal (Check conversion here)
Volume of Body: 63 Cubic Meter --> 63 Cubic Meter No Conversion Required
Modulus of Elasticity Of Bar: 11 Megapascal --> 11000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

U_body = (σ_induced^2*V_T)/(2*E_bar) --> (2000000^2*63)/(2*11000000)

Evaluating ... ...

U_body = 11454545.4545455

STEP 3: Convert Result to Output's Unit

11454545.4545455 Joule -->11454.5454545455 Kilojoule (Check conversion here)

FINAL ANSWER

11454.5454545455 ≈ 11454.55 Kilojoule <-- Strain Energy in body

(Calculation completed in 00.004 seconds)

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Home » Physics » Strength of Materials » Stress and Strain » Strain Energy » Strain Energy Stored in Body

Credits

Created by Sagar S Kulkarni

Dayananda Sagar College of Engineering (DSCE), Bengaluru

Sagar S Kulkarni has created this Calculator and 200+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has verified this Calculator and 2500+ more calculators!

< 7 Strain Energy Calculators

Stress Induced in Body given Stored Strain Energy

Go Stress induced = sqrt((Strain Energy in body*2*Modulus of Elasticity Of Bar)/(Cross Sectional Area of Bar*Length of Bar))

Maximum Strain Energy Stored in Body for Sudden Impact Load

Go Strain Energy in body = (Stress induced^2*Cross Sectional Area of Bar*Length of Bar)/(2*Modulus of Elasticity Of Bar)

Stress Induced in Body given Work Done by Load

Go Stress induced = sqrt((Work Done by Load*2*Modulus of Elasticity Of Bar)/Volume of Body)

Strain Energy Stored in Body

Go Strain Energy in body = (Stress induced^2*Volume of Body)/(2*Modulus of Elasticity Of Bar)

Work Done by Load given Induced Stress

Go Work Done by Load = (Stress induced^2*Volume of Body)/(2*Modulus of Elasticity Of Bar)

Load Applied Suddenly using Stress Induced by Sudden Applied Load

Go Load applied suddenly = (Stress induced*Cross Sectional Area of Bar)/2

Volume of Body given Modulus of Resilience

Go Volume of Body = Proof Resilience/Modulus of Resilience

Strain Energy Stored in Body Formula

Strain Energy in body = (Stress induced^2*Volume of Body)/(2*Modulus of Elasticity Of Bar)
U_body = (σ_induced^2*V_T)/(2*E_bar)

What is strain energy?

Strain energy is a type of potential energy that is stored in a structural member as a result of elastic deformation.

How to Calculate Strain Energy Stored in Body?

Strain Energy Stored in Body calculator uses Strain Energy in body = (Stress induced^2*Volume of Body)/(2*Modulus of Elasticity Of Bar) to calculate the Strain Energy in body, The Strain Energy Stored in Body formula is defined as the equation used to determine strain energy in terms of stress-induced, volume, and modulus of elasticity. Strain Energy in body is denoted by U_body symbol.

How to calculate Strain Energy Stored in Body using this online calculator? To use this online calculator for Strain Energy Stored in Body, enter Stress induced (σ_induced), Volume of Body (V_T) & Modulus of Elasticity Of Bar (E_bar) and hit the calculate button. Here is how the Strain Energy Stored in Body calculation can be explained with given input values -> 11.45455 = (2000000^2*63)/(2*11000000).

FAQ

What is Strain Energy Stored in Body?

The Strain Energy Stored in Body formula is defined as the equation used to determine strain energy in terms of stress-induced, volume, and modulus of elasticity and is represented as U_body = (σ_induced^2*V_T)/(2*E_bar) or Strain Energy in body = (Stress induced^2*Volume of Body)/(2*Modulus of Elasticity Of Bar). Stress induced is the resistance developed within a body due to an external load applied, Volume of Body is the amount of space that a substance or object occupies or that is enclosed within a container & Modulus of Elasticity Of Bar is a quantity that measures bar's resistance to being deformed elastically when a stress is applied to it.

How to calculate Strain Energy Stored in Body?

The Strain Energy Stored in Body formula is defined as the equation used to determine strain energy in terms of stress-induced, volume, and modulus of elasticity is calculated using Strain Energy in body = (Stress induced^2*Volume of Body)/(2*Modulus of Elasticity Of Bar). To calculate Strain Energy Stored in Body, you need Stress induced (σ_induced), Volume of Body (V_T) & Modulus of Elasticity Of Bar (E_bar). With our tool, you need to enter the respective value for Stress induced, Volume of Body & Modulus of Elasticity Of Bar 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 body?

In this formula, Strain Energy in body uses Stress induced, Volume of Body & Modulus of Elasticity Of Bar. We can use 1 other way(s) to calculate the same, which is/are as follows -

Strain Energy in body = (Stress induced^2*Cross Sectional Area of Bar*Length of Bar)/(2*Modulus of Elasticity Of Bar)

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