The aluminum (E=15x10^10psi, α=11.6x10^-6/°F) shell is fully bonded to the brass (E=10.6x10^6psi, α=12.9x10^-6/°F) sore,  and the assembly is unstressed at a temperature of 78°F. Considering only axial deformations, determine the stress  when the temperature reaches 180°F (a) in the brass core (b) in the aluminum shell

Two aluminum plates, each having a width of b = 8.0 in. and a thickness of t = 0.750 in., are welded together as shown. Assume a = 4.0 in. For a load of P = 75 kips, determine (a) the normal stress that acts perpendicular to the weld and (b) the magnitude of the shear stress that acts parallel to the weld. Answer: O= P T = 1 i 1 ksi ksi b P

• Bars (1) have a cross-sectional area of A₁ = 0.65 in.2 and a length, L₁= 7 ft. • Bars (1) are made of cast iron with an elastic modulus of E₁ = 24,000 ksi, a coefficient of thermal expansion, a₁ = 12.3 x 10-6/°F and yield strength of oy = 120 ksi. • Bar (2) has a cross-sectional area of A₂ = 1.45 in.² and a length, L₂ = 5.5 ft. • Bar (2) is made of stainless steel with a coefficient of thermal expansion, a₂ = 10.6 × 10-6/°F. • The stress-strain diagram provided below presents the results of the stainless steel's (i.e., Bar (2)) bar tension test. • There is a gap of A = 0.1 in. in the connection at B and a = 3 ft. • All bars are unstressed before a load P = 12 kips is applied and the temperature increases by AT = 40°F. Stress-strain diagram for stainless steel bar: (1) a Stress (ksi) L2 Rigid bar 120 100 80 60 40 20 0 0 0 B (2) P a (1) C Upper scale L₁ Connection details at node C Lower scale. C 0.025 0.050 0.075 0.100 0.125 0.150 0.175 0.006 0.008 0.010 0.012 0.014 0.002 0.004 Strain…

The assembly shown consists of an aluminum shell (Ea = 70 GPa, αa = 23.6 × 10−6/°C) fully bonded to a steel core (Es = 200 GPa, αs = 11.7 × 10−6/°C) and the assembly is unstressed at a temperature of 20°C. Considering only axial deformations, determine the stress in the aluminum when the temperature reaches 185°C.   The stress in the aluminum is −  _____ MPa.

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