Rigid bar ABC shown in Figure P1.30 is supported by a pin at bracket A...

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Mechanical Engineering

Rigid bar ABC shown in Figure P1.30 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 7 mm in diameter. Assume a = 600 mm, b = 300 mm, h = 450 mm, P = 900 N, and ? = 55°. Determine the following:
(a) the normal stress in rod (1)

(b) the shear stress in pin B

(c) the shear stress in pin A
FIGURE P1.30

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4.0 Ratings (669 Votes)

Draw the free body diagram of the bar Calculate the angle phi from triangle A B D beginarrayl tan phifracA DA B phitan 1leftfrac450600right tan 1075 3687circ endarray Take moments about A F sin phi times aP sin theta timesab Here F is the tension in tie rod phi and theta are the angles made by the F and P with the horizontal and P is the force applied Substitute 900 mathrmN for P 3687circ for phi 55circ for theta 600 mathrmmm for a and 300 mathrmmm for b beginarrayl F sin phi times aP sin theta timesab See Answer

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