Work Done by Load given Induced Stress 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%

✖Work Done by Load on a system is energy transferred to the system from its surroundings.ⓘ Work Done by Load given Induced Stress [w]

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Work Done by Load given Induced Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Work Done by Load = (Stress induced^2*Volume of Body)/(2*Modulus of Elasticity Of Bar)
w = (σ_induced^2*V_T)/(2*E_bar)
This formula uses 4 Variables

Variables Used

Work Done by Load - (Measured in Joule) - Work Done by Load on a system is energy transferred to the system from its surroundings.
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

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

Evaluating ... ...

w = 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 <-- Work Done by Load

(Calculation completed in 00.004 seconds)

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Home » Physics » Strength of Materials » Stress and Strain » Strain Energy » Mechanical » Energy on Body » Work Done by Load given Induced Stress

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Created by Sagar S Kulkarni

Dayananda Sagar College of Engineering (DSCE), Bengaluru

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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

Work Done by Load given Induced Stress Formula

LaTeX Go

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

What is work done?

Work is said to be done on a body if the external force acting on it causes displacement of the body.

How to Calculate Work Done by Load given Induced Stress?

Work Done by Load given Induced Stress calculator uses Work Done by Load = (Stress induced^2*Volume of Body)/(2*Modulus of Elasticity Of Bar) to calculate the Work Done by Load, The Work Done by Load given Induced Stress formula is defined as the equation used to determine work done in terms of stress-induced and modulus of elasticity. Work Done by Load is denoted by w symbol.

How to calculate Work Done by Load given Induced Stress using this online calculator? To use this online calculator for Work Done by Load given Induced Stress, 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 Work Done by Load given Induced Stress calculation can be explained with given input values -> 11.45455 = (2000000^2*63)/(2*11000000).

FAQ

What is Work Done by Load given Induced Stress?

The Work Done by Load given Induced Stress formula is defined as the equation used to determine work done in terms of stress-induced and modulus of elasticity and is represented as w = (σ_induced^2*V_T)/(2*E_bar) or Work Done by Load = (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 Work Done by Load given Induced Stress?

The Work Done by Load given Induced Stress formula is defined as the equation used to determine work done in terms of stress-induced and modulus of elasticity is calculated using Work Done by Load = (Stress induced^2*Volume of Body)/(2*Modulus of Elasticity Of Bar). To calculate Work Done by Load given Induced Stress, 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.

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