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Obtain a preliminary design of the shaft by performing the following tasks. Note that forces T1=2880 N and T2=432 N. The maximum bending moment is at x = 230 mm (point B), and it equals M= 698.3 N•m completely reversed, where the torque is constant at 612 N.m at the same point. The shaft material is AISI 1020 CD steel. Take the stress concentration conditions at B to be Shoulder fillet-sharp, with notch radius r=0.6 mm (Table 7-1). 230 mm T, 280 mm 30-mm dia. 300 mm 250-mm dia. 400-mm dia. 270 N 1800 N a) Sketch a general shaft layout in 2D (x – y axes), including all components and torques, then calculate all reactions. b) Based on the current shaft dimensions and using only forces at B and C, find the lowest critical speed of the shaft. c) Determine the fatigue factor of safety of the rotating shaft with the current dimensions using the DE-Gerber criteria. Use Eqs. 6-8 and 6-18 to find the endurance limit, account only for ka and k, in Eq. 6-18 and assume all remaining factors as 1.

Obtain a preliminary design of the shaft by performing the following tasks. Note that forces T1=2880 N and T2=432 N. The maximum bending moment is at x = 230 mm (point B), and it equals M= 698.3 N•m completely reversed, where the torque is constant at 612 N.m at the same point. The shaft material is AISI 1020 CD steel. Take the stress concentration conditions at B to be Shoulder fillet-sharp, with notch radius r=0.6 mm (Table 7-1). 230 mm T, 280 mm 30-mm dia. 300 mm 250-mm dia. 400-mm dia. 270 N 1800 N a) Sketch a general shaft layout in 2D (x – y axes), including all components and torques, then calculate all reactions. b) Based on the current shaft dimensions and using only forces at B and C, find the lowest critical speed of the shaft. c) Determine the fatigue factor of safety of the rotating shaft with the current dimensions using the DE-Gerber criteria. Use Eqs. 6-8 and 6-18 to find the endurance limit, account only for ka and k, in Eq. 6-18 and assume all remaining factors as 1.

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Problem 1 Obtain a preliminary design of the shaft by performing the following tasks. Note that forces Tj=2880 N and T2=432 N. The maximum bending moment is at x=230 mm (point B), and it equals M= 698.3 N•m completely reversed, where the torque is constant at 612 N.m at the same point. The shaft material is AISI 1020 CD steel. Take the stress concentration conditions at B to be Shoulder fillet-sharp, with notch radius r=0.6 mm (Table 7-1). 230 mm T, 280 mm 30-mm dia. 300 mm 250-mm dia. 400-mm dia. 270 N 1800 N a) Sketch a general shaft layout in 2D (x – y axes), including all components and torques, then calculate all reactions. b) Based on the current shaft dimensions and using only forces at B and C, find the lowest critical speed of the shaft. c) Determine the fatigue factor of safety of the rotating shaft with the current dimensions using the DE-Gerber criteria. Use Eqs. 6-8 and 6-18 to find the endurance limit, account only for ka and k, in Eq. 6-18 and assume all remaining factors as 1.
Transcribed Image Text:Problem 1 Obtain a preliminary design of the shaft by performing the following tasks. Note that forces Tj=2880 N and T2=432 N. The maximum bending moment is at x=230 mm (point B), and it equals M= 698.3 N•m completely reversed, where the torque is constant at 612 N.m at the same point. The shaft material is AISI 1020 CD steel. Take the stress concentration conditions at B to be Shoulder fillet-sharp, with notch radius r=0.6 mm (Table 7-1). 230 mm T, 280 mm 30-mm dia. 300 mm 250-mm dia. 400-mm dia. 270 N 1800 N a) Sketch a general shaft layout in 2D (x – y axes), including all components and torques, then calculate all reactions. b) Based on the current shaft dimensions and using only forces at B and C, find the lowest critical speed of the shaft. c) Determine the fatigue factor of safety of the rotating shaft with the current dimensions using the DE-Gerber criteria. Use Eqs. 6-8 and 6-18 to find the endurance limit, account only for ka and k, in Eq. 6-18 and assume all remaining factors as 1.
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