Modulus of Resilience given Proof 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%
✖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 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 given Proof Resilience [U_r]

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Modulus of Resilience given Proof Resilience Solution

STEP 0: Pre-Calculation Summary

Formula Used

Modulus of Resilience = Proof Resilience/Volume of Body
U_r = U_resilience/V_T
This formula uses 3 Variables

Variables Used

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.
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.
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

Proof Resilience: 25 Kilojoule --> 25000 Joule (Check conversion here)
Volume of Body: 63 Cubic Meter --> 63 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

U_r = U_resilience/V_T --> 25000/63

Evaluating ... ...

U_r = 396.825396825397

STEP 3: Convert Result to Output's Unit

396.825396825397 Pascal -->0.000396825396825397 Megapascal (Check conversion here)

FINAL ANSWER

0.000396825396825397 ≈ 0.000397 Megapascal <-- Modulus of Resilience

(Calculation completed in 00.020 seconds)

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Home » Physics » Strength of Materials » Stress and Strain » Strain Energy » Mechanical » Resilience » Modulus of Resilience given Proof Resilience

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Created by Sagar S Kulkarni

Dayananda Sagar College of Engineering (DSCE), Bengaluru

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< Resilience Calculators

Proof Resilience given Stress Induced

LaTeX Go Modulus of Resilience = (Stress at Elastic Limit^2*Volume of Body)/(2*Modulus of Elasticity Of Bar)

Modulus of Resilience given Stress Induced

LaTeX Go Modulus of Resilience = Stress induced^2/(2*Modulus of Elasticity Of Bar)

Modulus of Resilience at given Strain Energy

LaTeX Go Modulus of Resilience = Strain Energy in body/Volume of Body

Proof Resilience

LaTeX Go Proof Resilience = Modulus of Resilience*Volume of Body

Modulus of Resilience given Proof Resilience Formula

LaTeX Go

Modulus of Resilience = Proof Resilience/Volume of Body
U_r = U_resilience/V_T

What is proof resilience?

Proof resilience is defined as the maximum energy that can be absorbed up to the elastic limit, without creating a permanent distortion.

How to Calculate Modulus of Resilience given Proof Resilience?

Modulus of Resilience given Proof Resilience calculator uses Modulus of Resilience = Proof Resilience/Volume of Body to calculate the Modulus of Resilience, The Modulus of Resilience given Proof Resilience formula is defined as the amount of strain energy stored per unit volume of a body. Modulus of Resilience is denoted by U_r symbol.

How to calculate Modulus of Resilience given Proof Resilience using this online calculator? To use this online calculator for Modulus of Resilience given Proof Resilience, enter Proof Resilience (U_resilience) & Volume of Body (V_T) and hit the calculate button. Here is how the Modulus of Resilience given Proof Resilience calculation can be explained with given input values -> 4E-10 = 25000/63.

FAQ

What is Modulus of Resilience given Proof Resilience?

The Modulus of Resilience given Proof Resilience formula is defined as the amount of strain energy stored per unit volume of a body and is represented as U_r = U_resilience/V_T or Modulus of Resilience = Proof Resilience/Volume of Body. 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 & Volume of Body is the amount of space that a substance or object occupies or that is enclosed within a container.

How to calculate Modulus of Resilience given Proof Resilience?

The Modulus of Resilience given Proof Resilience formula is defined as the amount of strain energy stored per unit volume of a body is calculated using Modulus of Resilience = Proof Resilience/Volume of Body. To calculate Modulus of Resilience given Proof Resilience, you need Proof Resilience (U_resilience) & Volume of Body (V_T). With our tool, you need to enter the respective value for Proof Resilience & 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 Modulus of Resilience?

In this formula, Modulus of Resilience uses Proof Resilience & Volume of Body. We can use 3 other way(s) to calculate the same, which is/are as follows -

Modulus of Resilience = Stress induced^2/(2*Modulus of Elasticity Of Bar)
Modulus of Resilience = (Stress at Elastic Limit^2*Volume of Body)/(2*Modulus of Elasticity Of Bar)
Modulus of Resilience = Strain Energy in body/Volume of Body

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