Mae 243 Example Midterm 2

A

B

C

D

A solid shaft of diameter 2” is loaded by pulleys at A, B, C and D. TA = 800 lb.in, . TB = 400 lb.in, TC = 1400 lb.in, . TD = 200 lb.in. If the distance between each pulley is 12 in determine the maximum shear stress in the shaft and the angle of twist between the shaft at A and the shaft at B.

2000 lb/ft

12ft

8000 lb

4ft

8ft

Draw complete shear and bending moment diagrams for the beam shown. If the beam is a WT18 x 115 T shaped beam with I=934 in4 , c1 = 4in and c2 = 5.25 in then calculate the maximum tensile and compressive stress in the beam

250 mm 50 mm

50 mm

150 mm

50 mm

y x 150 mm

Calculate the centroid of the area shown and the moment of inertia about the axis through the centroid parallel to the x-direction.