Volume of Body given Modulus of Resilience Solution

STEP 0: Pre-Calculation Summary
Formula Used
Volume of Body = Proof Resilience/Modulus of Resilience
VT = UUr/Ur
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
VT = UUr/Ur --> 25000/10000
Evaluating ... ...
VT = 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 00.004 seconds)

Credits

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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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

Volume of Body given Modulus of Resilience Formula

Volume of Body = Proof Resilience/Modulus of Resilience
VT = UUr/Ur

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 VT 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 (Uresilience) & Modulus of Resilience (Ur) 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 VT = UUr/Ur 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 (Uresilience) & Modulus of Resilience (Ur). 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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