The beam is subjected to a uniformly distributed load of magnitude w 0 . In case (a), the cross section is square and consists of steel with elastic modulus E = 30E6 psi. In case (b), the cross...

The beam is subjected to a uniformly distributed load of magnitude
w
₀. In case (a), the cross section is square and consists of steel with elastic modulus
E
= 30E6 psi. In case (b), the cross section consists of a box beam of steel (material
A) with elastic modulus
E_A

= 30E6 psi and a light filler material (material
B) with elastic modulus
E_B

= 1.2E6 psi. The yield stress of the steel is
σ
_Y
= 80 ksi. For cases (a) and (b), what is the largest value of
w
₀
for which yielding of the steel will not occur?