A pin-connected structure is supported and loaded as shown. Member ABCD is rigid and is horizontal before the load P is applied. Bars (1) and (2) are both made from steel [E = 30,000 ksi] and both have a cross-sectional area of 1.5 in.². Assume lengths of a = 40 in., b = 68 in., c = 28 in., L₁= 55 in., and L₂ = 100 in. The normal stress in bars (1) and (2) must be limited to 48 ksi. Determine the maximum load P that may be applied to the rigid bar. Answer: Pmax= i L₁ a (1) B Rigid bar b ܕܐ kips @ D

1. Simple crane as shown in Fig. 1, known load P=2kN, α= 45°, ß= 30 °, the size of pulley is negligible, and the self-weight of each rod is negligible. Try to find the force on rod AB and rod AC. (0)

The rigid element ABCD is supported by a pin at C and two rods at A and D as shown in the figure. A load P is applied at B.[L₁ = 600 mm, A₁ = 67 mm², E₁ = 200 GPa, L₂ = 180 mm, A₂ = 647 mm², E₂ = 100 GPa, a = 600 mm, b = 350 mm, c = 300 mm, and P = 64 kN] T a. Determine the axial force and normal stress in in rod 1 and rod 2 b. Determine the displacement at point A and D

A frame ABC consists of a horizontal beam BC which is supported by a round solid rod AB inclined at a 50° angle, as shown below. The ends of the rod AB are flattened to make pin connections at A and B. A vertical load of 5,000 N is acting at the mid-length of the beam. The rod material is a steel with modulus equal to 207 GPa and yield strength of 220 MPa. (a) Using a factor of safety of2.5, determine the diameter of the rod AB. (b) If a clevis joint is used at the pin connection at B, design the pin diameter so that it does not fail in shear. The tensile yield strength of the pin material is 300 MPa. Use a factor of safety between 1.5 and 2.5. 5,000 N В C 5 m 3 m 50° A