Question: What is the formula for the modulus of resilience?
Options:
U = 1/2 * σ * ε
U = σ * ε
U = 1/2 * ε^2
U = σ^2 / 2
Correct Answer: U = 1/2 * σ * ε
Solution:
The modulus of resilience is given by U = 1/2 * σ * ε, where σ is the yield stress and ε is the yield strain.
What is the formula for the modulus of resilience?
Practice Questions
Q1
What is the formula for the modulus of resilience?
U = 1/2 * σ * ε
U = σ * ε
U = 1/2 * ε^2
U = σ^2 / 2
Questions & Step-by-Step Solutions
What is the formula for the modulus of resilience?
Step 1: Understand that the modulus of resilience measures how much energy a material can absorb without permanent deformation.
Step 2: Identify the variables in the formula: σ (sigma) represents the yield stress, which is the maximum stress a material can withstand without permanent deformation.
Step 3: Identify ε (epsilon), which represents the yield strain, the amount of deformation a material undergoes at the yield point.
Step 4: Write down the formula: U = 1/2 * σ * ε.
Step 5: Recognize that the formula shows that the modulus of resilience is half the product of yield stress and yield strain.
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