What is the relationship between shear modulus (G) and Young's modulus (E)?
Practice Questions
Q1
What is the relationship between shear modulus (G) and Young's modulus (E)?
G = E / (2(1 + ν))
G = E * (2(1 + ν))
G = E / (1 + ν)
G = E * (1 + ν)
Questions & Step-by-Step Solutions
What is the relationship between shear modulus (G) and Young's modulus (E)?
Step 1: Understand what Young's modulus (E) is. It measures how much a material stretches or compresses when a force is applied.
Step 2: Understand what shear modulus (G) is. It measures how much a material deforms when a shear force is applied.
Step 3: Learn about Poisson's ratio (ν). It is a number that describes how much a material expands or contracts in directions perpendicular to the direction of the applied force.
Step 4: Know the formula that relates these three properties: G = E / (2(1 + ν)).
Step 5: In this formula, E is Young's modulus, G is shear modulus, and ν is Poisson's ratio.
Step 6: This formula shows that if you know E and ν, you can calculate G.
