Question

A brass alloy to be used for a spring application must have a modulus of resilience of at least 0.75 MPa. What must be its minimum yield strength?

Answer 1

The minimum yield strength of the brass alloy cannot be determined without knowing the Young's Modulus.

Step-by-step explanation:

The modulus of resilience is a measure of a material's ability to absorb energy without undergoing permanent deformation. It is defined as the area under the stress-strain curve up to the elastic limit. The formula for modulus of resilience is given by:

Modulus of Resilience = (0.5 × Yield Strength²) / Young's Modulus

So, in order to find the minimum yield strength of the brass alloy, we can rearrange the formula as:

`Yield Strength = √((Modulus of Resilience × 2 × Young's Modulus))`

Substituting the given values, we get:

`Yield Strength = √((0.75 MPa × 2 × Young's Modulus))`

Since the Young's Modulus of brass is not given in the question, we cannot calculate the exact minimum yield strength of the alloy without that information.