Would the plate with a hole at the minimum thickness be

Question

 

(1) A514 steel:

E_st = 29x10^{6 psi}

σ_yst=100 ksi

ρ_st= 0.284 lb/in³

(2) 6061-T6 Aluminum:

E_at= 10 x 10⁶psi

σ_yat = 37ksi

ρ_at= 0.098 lb/in³

a) Design thc thickness, t, of thc plate to prevent yielding for each of the two choices of material if a hole is not present.

b) Design the thickness of the plate for cach of the two choices of material if a holc is present. Use the criteria that the von Mises stress must be less than σ_yp/2. Assume the infinite width plate analysis.

c) Would the plate with a hole at the minimum thickness be lighter if it was made of aluminum or steel?