Volume of Body given Modulus of Resilience Calculator

✖Proof Resilience is the maximum amount of the strain energy can be stored in the body up to the elastic limit is defined as the Proof resilience.ⓘ Proof Resilience [U_resilience]			+10% -10%
✖Modulus of Resilience is the strain energy per unit volume required to stress a material from an unloaded state up to the point of yielding.ⓘ Modulus of Resilience [U_r]			+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 given Modulus of Resilience [V_T]

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Volume of Body given Modulus of Resilience Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Body = Proof Resilience/Modulus of Resilience
V_T = U_{U_r}/U_r
This formula uses 3 Variables

Variables Used

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.
Proof Resilience - (Measured in Joule) - Proof Resilience is the maximum amount of the strain energy can be stored in the body up to the elastic limit is defined as the Proof resilience.
Modulus of Resilience - (Measured in Pascal) - Modulus of Resilience is the strain energy per unit volume required to stress a material from an unloaded state up to the point of yielding.

STEP 1: Convert Input(s) to Base Unit

Proof Resilience: 25 Kilojoule --> 25000 Joule (Check conversion here)
Modulus of Resilience: 0.01 Megapascal --> 10000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_T = U_{U_r}/U_r --> 25000/10000

Evaluating ... ...

V_T = 2.5

STEP 3: Convert Result to Output's Unit

2.5 Cubic Meter --> No Conversion Required

FINAL ANSWER

2.5 Cubic Meter <-- Volume of Body

(Calculation completed in 00.015 seconds)

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Home » Physics » Strength of Materials » Stress and Strain » Strain Energy » Mechanical » Energy on Body » Volume of Body given Modulus of Resilience

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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!

Verified by Anshika Arya

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

Volume of Body given Modulus of Resilience Formula

LaTeX Go

Volume of Body = Proof Resilience/Modulus of Resilience
V_T = U_{U_r}/U_r

What is proof resilience and modulus of resilience?

Proof resilience is defined as the maximum energy that can be absorbed up to the elastic limit, without creating a permanent distortion. The modulus of resilience is defined as the maximum energy that can be absorbed per unit volume without creating a permanent distortion.

How to Calculate Volume of Body given Modulus of Resilience?

Volume of Body given Modulus of Resilience calculator uses Volume of Body = Proof Resilience/Modulus of Resilience to calculate the Volume of Body, The Volume of Body given Modulus of Resilience formula is defined as the ratio of proof resilience to the modulus of resilience. Volume of Body is denoted by V_T symbol.

How to calculate Volume of Body given Modulus of Resilience using this online calculator? To use this online calculator for Volume of Body given Modulus of Resilience, enter Proof Resilience (U_resilience) & Modulus of Resilience (U_r) and hit the calculate button. Here is how the Volume of Body given Modulus of Resilience calculation can be explained with given input values -> 2.5 = 25000/10000.

FAQ

What is Volume of Body given Modulus of Resilience?

The Volume of Body given Modulus of Resilience formula is defined as the ratio of proof resilience to the modulus of resilience and is represented as V_T = U_{U_r}/U_r or Volume of Body = Proof Resilience/Modulus of Resilience. Proof Resilience is the maximum amount of the strain energy can be stored in the body up to the elastic limit is defined as the Proof resilience & Modulus of Resilience is the strain energy per unit volume required to stress a material from an unloaded state up to the point of yielding.

How to calculate Volume of Body given Modulus of Resilience?

The Volume of Body given Modulus of Resilience formula is defined as the ratio of proof resilience to the modulus of resilience is calculated using Volume of Body = Proof Resilience/Modulus of Resilience. To calculate Volume of Body given Modulus of Resilience, you need Proof Resilience (U_resilience) & Modulus of Resilience (U_r). With our tool, you need to enter the respective value for Proof Resilience & Modulus of Resilience 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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