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Fall10_PS4 - supported(as shown in the figure above...

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ME 338 Fall 10 Problem Set #4 Due: Friday 10/15/10 1. A paper machine processes rolls of paper having a density of 984 kg/m 3 . The paper roll is 1.50-m OD x 22-cm ID x 3.23-m long and is on a simply supported, 22-cm OD, steel shaft with S ut =400 MPa. Find the shaft ID needed to obtain a dynamic safety factor of 2 for a 10-year life if the shaft OD is 22 cm and the rolls turns at 50 rpm with 1.2 hp absorbed. 2. A stepped shaft as shown in the figure above has dimensions of D=10mm and d=8mm and r=0.8mm. It is made of steel having Su=1200 MPa and is finished with a grinding operation. In service, it is loaded with a fluctuation zero-to-maximum torque. Estimate the magnitude of maximum torque that would provide a safety factor of 1.3 with respect to a 75,000-cycle fatigue. 3. Determine the maximum deflections in torsion and in bending of the shaft that is simply
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Unformatted text preview: supported (as shown in the figure above). Consider a steel shaft of diameter 1.75 in. (l=8-in;a=4-in;b=8-in;P=1000-lb; Tmin=0;Tmax=2000 lb-in). The shaft material properties are: S ut = 108 kpsi; S y = 62 kpsi. For the specifications given above, determine the diameter of the shaft for a fatigue factor of safety of 2. What are the maximum, minimum and average power values for the shaft if the shaft speed is 750 rpm? T T 4. Determine the critical frequency of shaft whirl for the assembly shown below with the following dimensions (l=17 in; a=6in; b=12in; P=1500-lb; Tmin= - 200 lb-in; Tmax= 500 lb-in). The diameter of the steel shaft is 4cm. The cast iron roller diameter is 2 times the shaft diameter. d Bearings act as simple supports...
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