What can be calculated if Young's Modulus and the stress on a body are known?

When Young's Modulus and the stress on a body are known, it is possible to calculate the amount of strain produced in the material. Young's Modulus is defined as the ratio of stress (force per unit area) to strain (proportional deformation) in the linear elastic region of a material's stress-strain curve. This relationship is expressed mathematically as:

[

E = \frac{\text{Stress}}{\text{Strain}}

]

Rearranging this formula allows us to find strain:

[

\text{Strain} = \frac{\text{Stress}}{E}

]

By knowing the values of stress and Young's Modulus, you can directly compute the strain, which indicates how much the material deforms in response to the applied stress. This is particularly important in engineering applications where understanding the deformation of materials under load is crucial for structural integrity and design.

Other options do not directly relate to the given information. The area of the body, bending moments, and moments of force require additional parameters or calculations that do not stem directly from the relationship established by Young's Modulus and stress.