Figure Q3 (a) shows a solid 40 mm diameter steel shaft which is supported by smooth bearings at B and D
Figure Q3 (a) shows a solid 40 mm diameter steel shaft which is supported by smooth bearings at B and D. It is coupled to a motor at C, which delivers 6 kW of power to the shaft while it is turning at 50 Hz. The modulus of rigidity of steel is 80 GPa. The shaft is free to turn in its support bearings at B and D. If gears A and E consume powers of 2 kW and 4 kW respectively,
determine:
a) The maximum shear stress in the shaft.
b) The shear stress at point G (between point A and C) which is located 5 mm below the top surface. The cross section of the shaft is shown in Figure Q3 (b).
c) The angle of twist at A relative to F.
Homework Answers
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Figure Q3 (a) shows a solid 40 mm diameter steel shaft which is supported by smooth bearings at B and D
The solid steel shaft DF has a diameter of 25 mm and is supported by smooth...
The solid steel shaft DF has a diameter of 25 mm and is supported by smooth bearings at D and E. It is coupled to a motor at F, which delivers 12 kW of power to the shaft while it is turning at 35 rev/s . The gears A B, and C remove 3 kW, 4 kW, and 5 kW respectively The shaft is free to turn in its support bearings D and E (Figure 1) Part A Determine the...
The solid steel shaft DF has a diameter of 25 mm and is supported by smooth...
The solid steel shaft DF has a diameter of 25 mm and is supported by smooth bearings at D and E. It is coupled to a motor at F, which delivers 12 kW of power to the shaft while it is turning at 60 rev/s.The gears A, B, and C remove 3 kW, 4 kW, and 5 kW respectively. The shaft is free to turn in its support bearings D and E. (Figure 1) Part A Determine the absolute maximum...
75 mm 1.5 m T = 48 N·m 2 m 150 mm Two solid steel 20-mm-diameter...
75 mm 1.5 m T = 48 N·m 2 m 150 mm Two solid steel 20-mm-diameter shafts are coupled together using the perfectly meshed gears shown. Shaft DC is fixed to the wall at D and supported with a frictionless journal bearing. Shaft EF is supported with two frictionless journal bearings. The modulus of rigidity of steel is 80 GPa. Before the torque is applied, the angle of twist in each shaft is zero, and the angle of rotation of...
Problem 2: A solid steel shaft ABC of 50 mm diameter is driven at A by...
Problem 2: A solid steel shaft ABC of 50 mm diameter is driven at A by a motor that transmits 50 kW to the shaft at 40 rpm. The gears at B and C drive require 35 and 15 kW, respectively. Calculate the maximum shear stress in the shaft and the angle of twist between A and C. G 80 GPa 10 marks Motor 50 mm
3.A solid steel shaft (see Figure Q3) free at the ends has a diameter of 25...
3.A solid steel shaft (see Figure Q3) free at the ends has a diameter of 25 mm. LBc 500mm and Lco 250mm. The torques experienced by the shaft are T1 300Nm T2 = 550Nm and T3 = 250Nm. The modulus of rigidity of the material is G- 100GPa BC CD Figure Q3 a) Find the values of the internal torques TBc and Tco taking the anticlockwise direction as positive b) What is the maximum shear stress experienced by the shaft?...
The power loading on a uniform shaft of 20 mm diameter solid circular cross section is...
The power loading on a uniform shaft of 20 mm diameter solid circular cross section is shown in Figure 2. The speed of the shaft is 1200 rpm. The shear modulus (G) of steel may be taken as 80 GPa C (a) Sketch the torque diagram; (b) Determine the maximum shear stress in the shaft (c) Calculate the angle of twist between the two ends of the shaft 1.2 m 1.8 m 6 kW 11 kW A Тв TA Tc...
Problem 1 (25 Points) Two solid steel (6-80 GPa) shafts are connected by the gears shown. Shaft (1) has a diameter of 45 mm, and shaft (2) has an outside diameter of 55 mm and wall thickness 4 mm...
Problem 1 (25 Points) Two solid steel (6-80 GPa) shafts are connected by the gears shown. Shaft (1) has a diameter of 45 mm, and shaft (2) has an outside diameter of 55 mm and wall thickness 4 mm. Assume that the bearings shown allow free rotation of the shafts. If a 400 N-m torque is applied at gear D, determine (a) the maximum shear stress magnitudes in each shaft. (b) the angles of twist ф, and ф (c) the...
The steel shaft has a diameter of 2 in. It is supported on smooth journal bearings A and B, which exert only vertical reactions on the shaft.
The steel shaft has a diameter of 2 in. It is supported on smooth journal bearings A and B, which exert only vertical reactions on the shaft. Determine the absolute maximum bending stress in the shaft if it is subjected to the pulley loadings shown.
#3 4) A mild steel solid shaft 1.8 meters long and 30 mm in diameter withstands...
#3
4) A mild steel solid shaft 1.8 meters long and 30 mm in diameter withstands a tor shear modulus for this steel is 7 shaft. o GPa. Determine the shear stress in the shaft and the angle of twist of the
Alt h. 10- The motor delivers 40 hp to the 304 stainless steel shaft while it...
Alt h. 10- The motor delivers 40 hp to the 304 stainless steel shaft while it rotates at 20 Hz. The shaft is supported on smooth bearings at A and B, which allow free rotation of the shaft. The gears C and D fixed to the shaft remove 25 hp and 15 hp, respectively. Determine the diameter of the shaft to the nearest 1/8 in. if the allowable shear stress is 8 ksi and the allowable angle of twist of...
The solid steel shaft DF has a diameter of 25 mm and is supported by smooth bearings at D and E. It is coupled to a motor at F, which delivers 12 kW of power to the shaft while it is turning at 35 rev/s . The gears A B, and C remove 3 kW, 4 kW, and 5 kW respectively The shaft is free to turn in its support bearings D and E (Figure 1) Part A Determine the...
The solid steel shaft DF has a diameter of 25 mm and is supported by smooth bearings at D and E. It is coupled to a motor at F, which delivers 12 kW of power to the shaft while it is turning at 60 rev/s.The gears A, B, and C remove 3 kW, 4 kW, and 5 kW respectively. The shaft is free to turn in its support bearings D and E. (Figure 1) Part A Determine the absolute maximum...
75 mm 1.5 m T = 48 N·m 2 m 150 mm Two solid steel 20-mm-diameter shafts are coupled together using the perfectly meshed gears shown. Shaft DC is fixed to the wall at D and supported with a frictionless journal bearing. Shaft EF is supported with two frictionless journal bearings. The modulus of rigidity of steel is 80 GPa. Before the torque is applied, the angle of twist in each shaft is zero, and the angle of rotation of...
Problem 2: A solid steel shaft ABC of 50 mm diameter is driven at A by a motor that transmits 50 kW to the shaft at 40 rpm. The gears at B and C drive require 35 and 15 kW, respectively. Calculate the maximum shear stress in the shaft and the angle of twist between A and C. G 80 GPa 10 marks Motor 50 mm
3.A solid steel shaft (see Figure Q3) free at the ends has a diameter of 25 mm. LBc 500mm and Lco 250mm. The torques experienced by the shaft are T1 300Nm T2 = 550Nm and T3 = 250Nm. The modulus of rigidity of the material is G- 100GPa BC CD Figure Q3 a) Find the values of the internal torques TBc and Tco taking the anticlockwise direction as positive b) What is the maximum shear stress experienced by the shaft?...
The power loading on a uniform shaft of 20 mm diameter solid circular cross section is shown in Figure 2. The speed of the shaft is 1200 rpm. The shear modulus (G) of steel may be taken as 80 GPa C (a) Sketch the torque diagram; (b) Determine the maximum shear stress in the shaft (c) Calculate the angle of twist between the two ends of the shaft 1.2 m 1.8 m 6 kW 11 kW A Тв TA Tc...
Problem 1 (25 Points) Two solid steel (6-80 GPa) shafts are connected by the gears shown. Shaft (1) has a diameter of 45 mm, and shaft (2) has an outside diameter of 55 mm and wall thickness 4 mm. Assume that the bearings shown allow free rotation of the shafts. If a 400 N-m torque is applied at gear D, determine (a) the maximum shear stress magnitudes in each shaft. (b) the angles of twist ф, and ф (c) the...
#3
4) A mild steel solid shaft 1.8 meters long and 30 mm in diameter withstands a tor shear modulus for this steel is 7 shaft. o GPa. Determine the shear stress in the shaft and the angle of twist of the
Alt h. 10- The motor delivers 40 hp to the 304 stainless steel shaft while it rotates at 20 Hz. The shaft is supported on smooth bearings at A and B, which allow free rotation of the shaft. The gears C and D fixed to the shaft remove 25 hp and 15 hp, respectively. Determine the diameter of the shaft to the nearest 1/8 in. if the allowable shear stress is 8 ksi and the allowable angle of twist of...
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