Modulus of Resilience given Stress Induced Calculator

✖Stress induced is the resistance developed within a body due to an external load applied.ⓘ Stress induced [σ_induced]			+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%

✖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 Stress Induced [U_r]

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Modulus of Resilience given Stress Induced Solution

STEP 0: Pre-Calculation Summary

Formula Used

Modulus of Resilience = Stress induced^2/(2*Modulus of Elasticity Of Bar)
U_r = σ_induced^2/(2*E_bar)
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.
Stress induced - (Measured in Pascal) - Stress induced is the resistance developed within a body due to an external load applied.
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)
Modulus of Elasticity Of Bar: 11 Megapascal --> 11000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

U_r = σ_induced^2/(2*E_bar) --> 2000000^2/(2*11000000)

Evaluating ... ...

U_r = 181818.181818182

STEP 3: Convert Result to Output's Unit

181818.181818182 Pascal -->0.181818181818182 Megapascal (Check conversion here)

FINAL ANSWER

0.181818181818182 ≈ 0.181818 Megapascal <-- Modulus of Resilience

(Calculation completed in 00.014 seconds)

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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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< 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 Stress Induced Formula

LaTeX Go

Modulus of Resilience = Stress induced^2/(2*Modulus of Elasticity Of Bar)
U_r = σ_induced^2/(2*E_bar)

What is resilience?

The power or ability of a material to return to its original form, position, etc...after being bent, compressed, or stretched.

How to Calculate Modulus of Resilience given Stress Induced?

Modulus of Resilience given Stress Induced calculator uses Modulus of Resilience = Stress induced^2/(2*Modulus of Elasticity Of Bar) to calculate the Modulus of Resilience, The Modulus of Resilience given Stress Induced formula is defined as the equation used to determine the resilience of a body with the help of known values of stress-induced and modulus of elasticity. Modulus of Resilience is denoted by U_r symbol.

How to calculate Modulus of Resilience given Stress Induced using this online calculator? To use this online calculator for Modulus of Resilience given Stress Induced, enter Stress induced (σ_induced) & Modulus of Elasticity Of Bar (E_bar) and hit the calculate button. Here is how the Modulus of Resilience given Stress Induced calculation can be explained with given input values -> 1.8E-7 = 2000000^2/(2*11000000).

FAQ

What is Modulus of Resilience given Stress Induced?

The Modulus of Resilience given Stress Induced formula is defined as the equation used to determine the resilience of a body with the help of known values of stress-induced and modulus of elasticity and is represented as U_r = σ_induced^2/(2*E_bar) or Modulus of Resilience = Stress induced^2/(2*Modulus of Elasticity Of Bar). Stress induced is the resistance developed within a body due to an external load applied & 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 Modulus of Resilience given Stress Induced?

The Modulus of Resilience given Stress Induced formula is defined as the equation used to determine the resilience of a body with the help of known values of stress-induced and modulus of elasticity is calculated using Modulus of Resilience = Stress induced^2/(2*Modulus of Elasticity Of Bar). To calculate Modulus of Resilience given Stress Induced, you need Stress induced (σ_induced) & Modulus of Elasticity Of Bar (E_bar). With our tool, you need to enter the respective value for Stress induced & 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.

How many ways are there to calculate Modulus of Resilience?

In this formula, Modulus of Resilience uses Stress induced & Modulus of Elasticity Of Bar. We can use 3 other way(s) to calculate the same, which is/are as follows -

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
Modulus of Resilience = Proof Resilience/Volume of Body

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