Problem 4.3
The composite shaft, consisting of aluminum, copper, and steel sections, is subjected to the loading shown. The cross-sectional areas of sections AB, BC, and CD are A_AB = 0.08 in^2, A_BC = 0.15 in^2, and A_CD = 0.07 in^2, respectively. The modulus of elasticity for each section is shown in the figure. Neglect the size of the collars at B and C.
Part A
Determine the average normal stress in the aluminum due to this loading.
Part B
Determine the average normal stress in the steel due to this loading.
Aluminum: E = 10(10^3) ksi
Copper: E_cu = 18(10^3) ksi
Steel: E_s = 29(10^3) ksi
Loadings:
A = 3.50 kip
B = 1.75 kip
C = 2.00 kip
D = 1.50 kip
Lengths:
AB = 13.50 in
BC = 12 in
CD = 16 in
D = 18 in