Final answer:
The modulus of resilience for a 1100-H14 aluminium alloy can be obtained using the formula Ur = σγ² / (2E) with the given Young's modulus (E) and yield strength (σγ), leading to the result expressed in joules per cubic meter (J/m³).
Step-by-step explanation:
To determine the modulus of resilience for an aluminium alloy, such as 1100-H14 with a Young's modulus (E) of 70 GPa and a yield strength (σγ) of 55 MPa, we need to understand that the modulus of resilience is defined as the amount of energy per unit volume that a material can absorb while in the elastic deformation phase before yielding.
The modulus of resilience (Ur) can be calculated using the formula:
Ur = σγ2 / (2E)
Substituting the known values into this equation:
Ur = (55 x 106 Pa)2 / (2 x 70 x 109 Pa)
After performing the calculation, we would get the modulus of resilience for the 1100-H14 aluminium alloy in joules per cubic meter (J/m3).