Stress Induced in Body given Work Done by Load Calculator

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

✖Stress induced is the resistance developed within a body due to an external load applied.ⓘ Stress Induced in Body given Work Done by Load [σ_induced]

⎘ Copy

👎

Formula

✖

Stress Induced in Body given Work Done by Load

Formula

`"σ"_{"induced"} = sqrt(("w"*2*"E"_{"bar"})/"V"_{"T"})`

Example

`"0.102353MPa"=sqrt(("30KJ"*2*"11MPa")/"63m³")`

Calculator

LaTeX

Reset

👍

Download Stress and Strain Formula PDF

Stress Induced in Body given Work Done by Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

Stress induced = sqrt((Work Done by Load*2*Modulus of Elasticity Of Bar)/Volume of Body)
σ_induced = sqrt((w*2*E_bar)/V_T)
This formula uses 1 Functions, 4 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.
Work Done by Load - (Measured in Joule) - Work Done by Load on a system is energy transferred to the system from its surroundings.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Work Done by Load: 30 Kilojoule --> 30000 Joule (Check conversion here)
Modulus of Elasticity Of Bar: 11 Megapascal --> 11000000 Pascal (Check conversion here)
Volume of Body: 63 Cubic Meter --> 63 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_induced = sqrt((w*2*E_bar)/V_T) --> sqrt((30000*2*11000000)/63)

Evaluating ... ...

σ_induced = 102353.263143832

STEP 3: Convert Result to Output's Unit

102353.263143832 Pascal -->0.102353263143832 Megapascal (Check conversion here)

FINAL ANSWER

0.102353263143832 ≈ 0.102353 Megapascal <-- Stress induced

(Calculation completed in 00.004 seconds)

You are here -

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

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

Stress Induced in Body given Work Done by Load Formula

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

What is work done?

Work is said to be done on a system when the force acting on the system displaces the system by some distance.

How to Calculate Stress Induced in Body given Work Done by Load?

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

How to calculate Stress Induced in Body given Work Done by Load using this online calculator? To use this online calculator for Stress Induced in Body given Work Done by Load, enter Work Done by Load (w), Modulus of Elasticity Of Bar (E_bar) & Volume of Body (V_T) and hit the calculate button. Here is how the Stress Induced in Body given Work Done by Load calculation can be explained with given input values -> 1E-7 = sqrt((30000*2*11000000)/63).

FAQ

What is Stress Induced in Body given Work Done by Load?

The Stress Induced in Body given Work Done by Load formula is defined as the equation used to determine stress induced in a body in terms of work done, volume, and modulus of elasticity and is represented as σ_induced = sqrt((w*2*E_bar)/V_T) or Stress induced = sqrt((Work Done by Load*2*Modulus of Elasticity Of Bar)/Volume of Body). Work Done by Load on a system is energy transferred to the system from its surroundings, Modulus of Elasticity Of Bar is a quantity that measures bar's resistance to being deformed elastically when a stress is applied to it & Volume of Body is the amount of space that a substance or object occupies or that is enclosed within a container.

How to calculate Stress Induced in Body given Work Done by Load?

The Stress Induced in Body given Work Done by Load formula is defined as the equation used to determine stress induced in a body in terms of work done, volume, and modulus of elasticity is calculated using Stress induced = sqrt((Work Done by Load*2*Modulus of Elasticity Of Bar)/Volume of Body). To calculate Stress Induced in Body given Work Done by Load, you need Work Done by Load (w), Modulus of Elasticity Of Bar (E_bar) & Volume of Body (V_T). With our tool, you need to enter the respective value for Work Done by Load, Modulus of Elasticity Of Bar & Volume of Body 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 Work Done by Load, Modulus of Elasticity Of Bar & Volume of Body. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

Home

FREE PDFs

🔍 Search