d at B and attached to the two vertical rods. tal and the vertical rods are stress-free. e steel rod if the temperature of the both Neglect the weight of bar ABC.

The pin-connected structure consists of a rigid bar ABCD and two axial members. Bar (1) is bronze [E = 92 GPa] with a cross-sectional area of A₁ = 680 mm². Bar (2) is an aluminum alloy [E = 74 GPa] with a cross-sectional area of A₂ = 350 mm². A concentrated load of P = 56 kN acts on the structure at D. Assume L₁=900 mm., L2=600 mm., a=580 mm., b=310 mm., and c=1160 mm. Determine: (a) the normal stresses 01, 02 in both bars (1) and (2). (b) the downward deflection vp of point D on the rigid bar. b Answers: (a) o₁ = (b) VD= i i L₁ L2 (2) B C MPa, 0₂ = mm. i D MPa

10. The rigid bar below is supported by axial bar (1) and by a pin connection at C. Axial bar (1) has a cross-sectional area of A₁ = 275 mm², an elastic modulus of E = 200 GPa, and a coefficient of thermal expansion of a = 11.9x 106/°C. The pin at C has a diameter of 30 mm. After load P has been applied and the temperature of the entire assembly has been increased by 31°C, the total strain in bar (1) is measured as 975 μe (elongation). Determine: (a) the magnitude of load P. (b) the shear stress in pin C. 275 mm Connection detail (1) Rigid bar 540 mm 135 mm 260 mm

*10-48. The 6061-T6 aluminum alloy plate fits snugly into the rigid constraint. Determine the normal stresses o, and o, developed in the plate if the temperature is increased by AT = 50°C. To solve, add the thermal strain aAT to the equations for Hooke's law. y 300 mm 400 mm Prob. 10-48