What is the relationship between shear modulus and Young's modulus?
Practice Questions
Q1
What is the relationship between shear modulus and Young's modulus?
They are equal
Shear modulus is always greater
Shear modulus is less than Young's modulus
They are inversely proportional
Questions & Step-by-Step Solutions
What is the relationship between shear modulus and Young's modulus?
Step 1: Understand what Young's modulus is. It measures how much a material stretches or compresses when a force is applied along its length.
Step 2: Understand what shear modulus is. It measures how much a material deforms when a force is applied parallel to its surface.
Step 3: Recognize that both Young's modulus and shear modulus are measures of a material's stiffness.
Step 4: Note that Young's modulus is usually higher than shear modulus for most materials, meaning materials are generally stiffer when stretched than when sheared.
Step 5: Remember that the relationship between the two moduli can be expressed mathematically for isotropic materials, but the key point is that shear modulus is generally less than Young's modulus.
