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PROBLEM 3: Figure 3 shows a top view ofa motor driven pump. The direction of the gravitational acceleration is indicated by g, and is oriented orthogonal to this paper. The shaft of the motor is supported by two bearings in points A and B and the motor rotates at n 1000 rpm. The motor power is 10 kW. The radius of pulley A and B. a-,3 = 40 mm. Each pulley weighs 5 kg. The pump shaft is supported by two bearings in points E and F, respectively. The distances AB = BC = DE = EF = 0.1 m. A belt connects both pulleys, and is tensioned such that the tight side tension is 2500 N. Calculate the diameter of the motor shaft for infinite life using the Soderberg criterion, assuming it is machined from AISI 1040 hot-rolled steel. Assume the efficiency of the power transmission is 100%. Use a design factor of 2.5. What is the safety factor against static yielding? Pulley A otor 112 um Figure 3: Motor/pump transmission Hand in: Slack side tension of the belt Diameter of the motor shaft Safety factor against yielding

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