1. Two solid aluminum shafts (G = 3.7x106 psi) are connected by the gears shown. Ends B and D are fixed. What is the angle through which end C rotates?

0.127 rad
0.213 rad
0.044 rad
0.180 rad
0.0845 rad

2. For the beam of the cross section shown, determine the location of the neutral axis from the bottom of the beam.

50.23 mm

67.5 mm

92.5 mm

32.5 mm

28.4 mm

3. For the beam of question 8, determine the value of the second moment of area about the neutral axis.

30.23 x 106 mm4
27.5 x 106 mm4
17.5 x 106 mm4
12.5 x 106 mm4
8.25 x 106 mm4

4. Two vertical forces of 3 kN each are applied to the beam of questions 8 and 9. Determine the maximum stress in section AB if L = 0.8 m.

7.18 MPa
3.44 MPa
5.76 MPa
10.35 MPa

5. The 6 x 12 in timber beam has been strengthened by bolting to it the 5 x ½ in steel reinforcement shown. The modulus of elasticity for wood is 1.8 x 106 psi and for steel is 29 x 106 psi. The beam is bent about a horizontal axis by a couple M = 450 kip-in. What is the maximum stress in the wood?

1.585 ksi
1.754 ksi
1.979 ksi
2.086 ksi

6. The 6 x 12 in timber beam has been strengthened by bolting to it the 5 x ½ in steel reinforcement shown. The modulus of elasticity for wood is 1.8 x 106 psi and for steel is 29 x 106 psi. The beam is bent about a horizontal axis by a couple M = 450 kip-in. What is the maximum stress in the steel?

12.76 ksi
14.87 ksi
16.47 ksi
18.62 ksi