A simple pin-connected truss is loaded and supported as shown. The truss is constructed from three aluminum members, each having a cross-sectional area of A = 1040 mm2. Assume a = 1.3 m, b = 7.4 m, and c = 3.2 m. If P = 40 kN and Q = 80 kN, determine the normal stress in each member.

Rigid bar ABC is supported by a pin at bracket A and by tie rod (1). Tie rod (1) has a diameter of 8 mm, and it is supported by double- shear pin connections at B and D. The pin at bracket A is a single-shear connection. The pin at B is 5 mm in diameter. Assume a = 570 mm, b = 285 mm, h = 360 mm, and 0= 65°. If the normal stress in tie rod (1) cannot exceed 190 MPa and the shear stress in pin B cannot exceed 120 MPa, determine the maximum load Pmax that can be supported by the structure. D (1) h B a Answer: Pmax i b kN

4. The bars of the truss each has a cross-sectional area of 780 mm?. Determine the average normal stress in each member due to the loading P = 40 kN. State whether the stress is tensile or compressive. 0.75 P

Two solid cylindrical rods (1) and (2) are joined together at flange B and loaded as shown. If F₁ = 13 kips, F₂ = 34 kips, and the normal stress in each rod must be limited to 22 ksi, determine the minimum diameter d₁ required for rod (1). A (2) d₁ F₂ B C O 1.087 in. O 0.823 in. O 0.541 in. O 0.867 in. O 1.003 in. d₂

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The axial force in the column supporting the timber beam shown is P = 20 kips. Determine the smallest allowable length L of the bearing plate if the bearing stress in the timber is not to exceed 400 psi.