Rigid bar ABC shown in the figure is supported by a pin at bracket A and by tie rod (1). Tie rod (1) has a diameter of 5 mm, and it is supported by double-shear pin connections at B and D. The pin at bracket A is a single-shear connection. All pins are 8 mm in diameter. Assume a = 650 mm, b= 325 mm, h = 525 mm, P = 800 N, and 0= 65°. Determine the following: (a) the normal stress in rod (1) (b) the shear stress in pin B (c) the shear stress in pin A D Answers: (a) Orod = (b) Tpin B7 (c) Tpin A = a i i i B b h MPa MPa MPa

Q-1 Link-2, shown in the figure, is 30 mm wide, has 12 mm diameter bearings atthe ends, and is cut from low carbon steel bar having a minimum yield strength of190 MPa. The end-condition constants for link-2 are C = 1 and C = 1.2 for bucklingin and out of the drawing, respectively.a) Draw necessary and clear free-body diagrams to determine the reactions atthe supports and the load on both member-2 and member-3. b) Determine a suitable thickness for link-2, based on a design factor of safetyηD = 4, and considering a material having E = 207 GPa, and a minimum yieldstrength Sy = 350 MPa.c) Determine the stress and resulting factor of safety for each pin, and state yoursuggestions in case of design factors less than 4.

(c) The rigid bar ABC is suspended from three wires of the same material. The cross- sectional area of the wire at B is equal to half of the cross-sectional area of the wires at A and C. Determine the tension in each wire caused by the load P shown. ----|--²--| A 9 DAB T L P Fig. Q1(c) PL Hint: S = note that ABC is a rigid bar. EA C

Problem 1 Classify each of the structures as statically determinate or indeterminate. If indeterminate, specify the degree of indeterminacy. pin rocker fixed 7 pin roller fixed fixed pin roller pin (d) (h) pin fixed Page fixed