Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)
10th Edition
ISBN: 9780077591670
Author: BUDYNAS
Publisher: MCG
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Chapter 14, Problem 10P
To determine
The face width on tooth of gear.
The module of the gear.
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Two designs for a shaft are being considered. Both have an outside diameter of 70 m and are 900 mm long. One is solid but the other is hollow with an internal diameter of 50 mm. Both are made from steel (G=120 GPa). Compare the torsional shear stress, angle of twist of the two designs if they are subjected to a torque of 796 N. m.
1.1. State three underlying assumptions in the formulation of the torsion formula, .TGJrl (3) 1.2 A hollow shaft has to be designed for a marine engine delivering 1200 kW when running at 120 r/min. The maximum allowable shear stress is 50 MPa and the maximum torque to be transmitted by the shaft is 30 % greater than the mean torque. The internal diameter of the shaft is 50 % that of the external diameter. Calculate: 1.2.1 The dimensions of the shaft and the angle of twist of the shaft over 3 m when transmitting the above torque (G = 80 GPa). (14) 1.3 Determine the torsional rigidity of a 300 mm long steel shaft with a diameter of 50 mm. (G = 80 GPa
A hollow shaft with a length of 1103mm and outer diameter 73mm and inner diameter 50mm is required to tranmit a power of 60kW at a speed of 2950 rpm if the modulus of rigidity is 79.5GPa calculate the torque transmitted by the shaft
Chapter 14 Solutions
Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)
Ch. 14 - A steel spur pinion has a pitch of 6 teeth/in, 22...Ch. 14 - A steel spur pinion has a diametral pitch of 10...Ch. 14 - Prob. 3PCh. 14 - A steel spur pinion has 16 teeth cut on the 20...Ch. 14 - Prob. 5PCh. 14 - A 20 full-depth steel spur pinion has 20 teeth and...Ch. 14 - A 20 full-depth steel spur pinion has a diametral...Ch. 14 - A steel spur pinion is to transmit 20 hp at a...Ch. 14 - A 20 full-depth steel spur pinion with 18 teeth is...Ch. 14 - Prob. 10P
Ch. 14 - A speed reducer has 20 full-depth teeth and...Ch. 14 - Prob. 12PCh. 14 - Prob. 13PCh. 14 - A 20 20-tooth cast-iron spur pinion having a...Ch. 14 - A steel spur pinion and gear have a diametral...Ch. 14 - A milled-teeth steel pinion and gear pair have Sut...Ch. 14 - A 20 full-depth steel spur pinion rotates at 1145...Ch. 14 - A steel spur pinion has a pitch of 6 teeth/in, 17...Ch. 14 - A commercial enclosed gear drive consists of a 20...Ch. 14 - A 20 spur pinion with 20 teeth and a module of 2.5...Ch. 14 - Repeat Prob. 14-19 using helical gears each with a...Ch. 14 - A spur gearset has 17 teeth on the pinion and 51...Ch. 14 - Prob. 23PCh. 14 - Prob. 24PCh. 14 - The speed reducer of Prob. 14-24 is to be used for...Ch. 14 - Prob. 26PCh. 14 - Prob. 27PCh. 14 - The gearset of Prob. 14-27 is going to be upgraded...Ch. 14 - Prob. 29PCh. 14 - AGMA procedures with cast-iron gear pairs differ...Ch. 14 - Spur-gear teeth have rolling and slipping contact...Ch. 14 - In Ex. 14-5 use nitrided grade 1 steel (4140)...Ch. 14 - In Ex. 14-5 use carburized and case-hardened gears...Ch. 14 - Prob. 35PCh. 14 - Prob. 36PCh. 14 - The countershaft in Prob. 373, p. 152, is part of...Ch. 14 - Build on the results of Prob. 1340, p. 720, to...Ch. 14 - Build on the results of Prob. 1341, p. 721, to...
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- Q.2 A hollow simple supported shaft 3m made of steel with di/do of 0.6. The shaft is subjected to a bending force of 4 KN and transmits 52 KW with 150 rpm. Find the outer and inner diameter of the shaft, if the ultimate shear stress of 600 MPa and allowable compression stress of 100 MPa, tack safety factor 7.arrow_forwardA hollow shaft with a length of 1103mm and outer diameter 73mm and inner diameter 50mm is required to tranmit a power of 60kW at a speed of 2950 rpm if the modulus of rigidity is 79.5GPa calculate the angle of twist in degreesarrow_forwardA hollow shaft has to be designed for a marine engine delivering 1300 kW when running at 150 r/min. The maximum allowable shear stress is 65 MPa and the maximum torque to be transmitted by the shaft is 20 % greater than the mean torque. The internal diameter of the shaft is 50 % of that of the external diameter. Calculate: (a) the shaft dimensions and (b) the angle of twist of the shaft over 3 m when transmitting the above torque (G = 80 GPa).arrow_forward
- according to Maximum Shear Stress theory ,Calculate the factor of safety of the shaft When it is subjected to an end thrust producing stress of 90 MPa and the maximum shearing stress on the surface arising from torsion is 60 MPa.The yield point of the material in simple tension was found to be 300 MPa.arrow_forwardA hollow shaft with a length of 1103mm and outer diameter 73mm and inner diameter 50mm is required to tranmit a power of 60kW at a speed of 2950 rpm if the modulus of rigidity is 79.5GPa calculate the maximum shear stress in the shaftarrow_forwardA motor driving a solid circular steel shaftwith diameter d = 1.5 in. transmits 50 hp to a gear atB. The allowable shear stress in the steel is 6000 psi.Calculate the required speed of rotation (number ofrevolutions per minute) so that the shear stress in theshaft does not exceed the allowable limit.arrow_forward
- A hollow shaft with a length of 1103mm and outer diameter 73mm and inner diameter 50mm is required to tranmit a power of 60kW at a speed of 2950 rpm if the modulus of rigidity is 79.5GPa calculate the polar second moment of area of the shaftarrow_forwardA hollow shaft has to be designed for a marine engine delivering 1200 kW when running at 120 r/min. The maximum allowable shear stress is 50 MPa and the maximum torque to be transmitted by the shaft is 30 % greater than the mean torque. The internal diameter of the shaft is 50 % that of the external diameter. Calculate the shaft dimensions and the angle of twist of the shaft over 3 m when transmitting the above torque (G = 80 GPa).arrow_forwardA hollow shaft has an inner diameter of 0.035 m and an outerdiameter of 0.06 m. Compute for the torque if the shear stress isnot to exceed 120 MPa in Nm.arrow_forward
- A turbine shaft transmits 500 kW power at 900 rpm. The permissible shear stress is 80N/mm² while twist is limited to 0.5º in a length of 2.5 m. Take G = 0.8x10⁵ N/mm², on thebasis of torsional rigidity;i.Determine diameter of shaft if solid shaft is used.ii.If hollow shaft is chosen with di/do = 0.6, determine the suitable diameters of theshaft. please write with ball pen.. thank youarrow_forwardTwo designs for a shaft are being considered. Both have an outside diameter of 50 mm and are 600 mm long. Oneis solid but the other is hollow with an inside diameter of 40 mm. Both are made from steel. Compare the torsionalshear stress, the angle of twist, and the mass of the two designs if they are subjected to a torque of 850 N ·m.arrow_forwardDetermine the diameter of a solid steel shaft which will transmit 112.5 kW at 200 rpm. Also determine the length of the shaft if the twist must not exceed 1.5o over the entire length. The maximum shear stress is limited to 55 N/mm2. Take the value of modulus of rigidity = 8 x 104 N/mm2.arrow_forward
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