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# Rotational axes and maximum stresses

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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?

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

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

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.

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?

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?