Stress Induced in Body given Stored Strain Energy Calculator

✖Strain Energy in body is defined as the energy stored in a body due to deformation.ⓘ Strain Energy in body [U_body]			+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%
✖Cross Sectional Area of Bar is the area of a two-dimensional shape that is obtained when a three dimensional shape is sliced perpendicular to some specified axis at a point.ⓘ Cross Sectional Area of Bar [A]			+10% -10%
✖Length Of Bar is defined as the total length of the Bar.ⓘ Length of Bar [L_bar]			+10% -10%

✖Stress induced is the resistance developed within a body due to an external load applied.ⓘ Stress Induced in Body given Stored Strain Energy [σ_induced]

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Stress Induced in Body given Stored Strain Energy Solution

STEP 0: Pre-Calculation Summary

Formula Used

Stress induced = sqrt((Strain Energy in body*2*Modulus of Elasticity Of Bar)/(Cross Sectional Area of Bar*Length of Bar))
σ_induced = sqrt((U_body*2*E_bar)/(A*L_bar))
This formula uses 1 Functions, 5 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Stress induced - (Measured in Pascal) - Stress induced is the resistance developed within a body due to an external load applied.
Strain Energy in body - (Measured in Joule) - Strain Energy in body is defined as the energy stored in a body due to deformation.
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.
Cross Sectional Area of Bar - (Measured in Square Meter) - Cross Sectional Area of Bar is the area of a two-dimensional shape that is obtained when a three dimensional shape is sliced perpendicular to some specified axis at a point.
Length of Bar - (Measured in Meter) - Length Of Bar is defined as the total length of the Bar.

STEP 1: Convert Input(s) to Base Unit

Strain Energy in body: 6.4 Kilojoule --> 6400 Joule (Check conversion here)
Modulus of Elasticity Of Bar: 11 Megapascal --> 11000000 Pascal (Check conversion here)
Cross Sectional Area of Bar: 64000 Square Millimeter --> 0.064 Square Meter (Check conversion here)
Length of Bar: 2000 Millimeter --> 2 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_induced = sqrt((U_body*2*E_bar)/(A*L_bar)) --> sqrt((6400*2*11000000)/(0.064*2))

Evaluating ... ...

σ_induced = 1048808.84817015

STEP 3: Convert Result to Output's Unit

1048808.84817015 Pascal -->1.04880884817015 Megapascal (Check conversion here)

FINAL ANSWER

1.04880884817015 ≈ 1.048809 Megapascal <-- Stress induced

(Calculation completed in 00.004 seconds)

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Home » Physics » Strength of Materials » Stress and Strain » Strain Energy » Mechanical » Energy on Body » Stress Induced in Body given Stored Strain Energy

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Created by Sagar S Kulkarni

Dayananda Sagar College of Engineering (DSCE), Bengaluru

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

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National Institute Of Technology (NIT), Hamirpur

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< Energy on Body Calculators

Stress Induced in Body given Stored Strain Energy

LaTeX 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

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

Strain Energy Stored in Body

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

Load Applied Suddenly using Stress Induced by Sudden Applied Load

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

Stress Induced in Body given Stored Strain Energy Formula

LaTeX Go

Stress induced = sqrt((Strain Energy in body*2*Modulus of Elasticity Of Bar)/(Cross Sectional Area of Bar*Length of Bar))
σ_induced = sqrt((U_body*2*E_bar)/(A*L_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 Stress Induced in Body given Stored Strain Energy?

Stress Induced in Body given Stored Strain Energy calculator uses Stress induced = sqrt((Strain Energy in body*2*Modulus of Elasticity Of Bar)/(Cross Sectional Area of Bar*Length of Bar)) to calculate the Stress induced, The Stress induced in Body given Stored Strain Energy formula is defined as the equation used to determine the value of stress-induced in terms of strain energy, modulus of elasticity, and volume of the body. Stress induced is denoted by σ_induced symbol.

How to calculate Stress Induced in Body given Stored Strain Energy using this online calculator? To use this online calculator for Stress Induced in Body given Stored Strain Energy, enter Strain Energy in body (U_body), Modulus of Elasticity Of Bar (E_bar), Cross Sectional Area of Bar (A) & Length of Bar (L_bar) and hit the calculate button. Here is how the Stress Induced in Body given Stored Strain Energy calculation can be explained with given input values -> 1E-6 = sqrt((6400*2*11000000)/(0.064*2)).

FAQ

What is Stress Induced in Body given Stored Strain Energy?

The Stress induced in Body given Stored Strain Energy formula is defined as the equation used to determine the value of stress-induced in terms of strain energy, modulus of elasticity, and volume of the body and is represented as σ_induced = sqrt((U_body*2*E_bar)/(A*L_bar)) or Stress induced = sqrt((Strain Energy in body*2*Modulus of Elasticity Of Bar)/(Cross Sectional Area of Bar*Length of Bar)). Strain Energy in body is defined as the energy stored in a body due to deformation, Modulus of Elasticity Of Bar is a quantity that measures bar's resistance to being deformed elastically when a stress is applied to it, Cross Sectional Area of Bar is the area of a two-dimensional shape that is obtained when a three dimensional shape is sliced perpendicular to some specified axis at a point & Length Of Bar is defined as the total length of the Bar.

How to calculate Stress Induced in Body given Stored Strain Energy?

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

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

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

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