The input shaft to a gearbox, shown in Figure 3, operates at a speed of n1 and transmits a power of 30 hp. The output power is 27 hp at a speed of n2. (a) What is the torque of each shaft (in kip · in.) and (b) the efficiency of the gearbox? Use n1 = 1800 rpm, n2 = 425 rpm. (c) Also compute for the torsional stress on the 1.5” diameter solid shaft C, and on the hollow shaft at E whose D =2” and d = 1.5”.

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The shaft shown in the figure is machined from AISI 1040 CD steel. The shaft rotates at 1600 rpm and is supported in rolling bearings at A and B. The applied forces are F₁ = 1600 lbf and F2 = 640 lbf. A steady torque of 1600 lbf-in is being transmitted through the shaft between the points of application of the forces. 1 / in ] A in [lin -10 in- F₁ in F₂ -10 in- All fillets in R. 12in] 3 in The value of the notch sensitivity is The value of the fatigue stress concentration factor is in NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. What is the value of the theoretical stress concentration factor for torsion, the notch sensitivity, and the fatigue stress concentration factor? (You must provide an answer before moving to the next part.) The value of the theoretical stress concentration factor for torsion is

Gear shaft ABCDE is subjected to the torques shown in the figure. Find the internal torque in each seg- ment, and then plot the torsional moment diagram. Assume that the spacing between gears is constant, i.e., 10 in. T1 = T2 = 1000 lb-in. 500 lb-in. A B T3 = 800 Ib-in. C Ta = 500 lb-in. d = 1.0 in. D T; = 800 lb-in. E

A solid shaft made from AISI 1040 cold-drawn steel is used to carry two V-belt, as shown in the Fig. 3. Pulley A receives power from a motor through a belt, with the belt tensions shown in Fig. 3. The power is transmitted through the shaft and delivered to the belt through pulley B. Assume the belt tension on the loose side is 10 percent of the tension on the tight side.