SHIGLEY'S MECHANICAL ENG.DESIGN W/CODE
10th Edition
ISBN: 9781260243314
Author: BUDYNAS
Publisher: MCG CUSTOM
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Chapter 14, Problem 3P
To determine
The bending stress on teeth of gear.
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A steel rotor disc of uniform thickness 50 mm has an outer rim of diameter 800 mm and a central hole of diameter 150 mm. There are 200 blades each of weight 2 N at an effective radius of 420 mm pitched evenly around the periphery. Determine the rotational speed at which yielding first occurs according to the maximum shear stress criterion. Yield stress in simple tension is equal to 750 MN/m2.
The motor A delivers 3000 hp to the shaft at 1500 rev/min, of which 1000 hp is removed by gear B and 2000 hp is removed by gear C.
1.) Determine the maximum shear stress in the shaft in ksi. (Answer in 2 decimal places)
2.) Determine the angle of twist in degrees of end D relative to end A. Use G = 12 x 106 psi for steel, and assume that friction at bearing D is negligible. (Answer in 3 decimal places)
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 angle of twist in degrees
Chapter 14 Solutions
SHIGLEY'S MECHANICAL ENG.DESIGN W/CODE
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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- Torsion A hollow circular shaft has inside and outside diameters of 30 mm and 40 mm respectively. The material has-a shear modulus of 60 kN/mm'. Determine the maximum stress in the shaft when it is subjected to a twist of 5 in a length of 2.5 m. What is the maximum torque the shaft can carry? For a circle / = nd*/32.arrow_forwardcampute the bending stress number for the goer pair described by the given data beLow. KS= 1, Km= 1,21, F= 2.00 in, DP= 3,33 in, NG= 70, Np=20 hp = 1750v. p.m, Av=11, Pd =6, Tp= 900ib V1= 1527 ft/min The matarial used for pinion a gear is cast ironarrow_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 polar second moment of area of the shaftarrow_forward
- The tubular A36 steel shaft has a diameter of 2 in. and a thickness of 0.20 in. Disk B is supplied with 15 hp of power of which A receives 60% and C receives 40%. The shaft rotation is at 950 rpm. Find the corresponding angle of twist of disk C with respect to disk A (in degrees).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_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_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 torque transmitted by the shaftarrow_forwardQ: Part A: Determine the absolute maximum shear stress in the shaft. Part B: Determine the angle of twist of end EE of the shaft relative to BB. Given: The turbine develops 150 kW of power, which is transmitted to the gears such that CC receives 70% and DD receives 30%. The rotation of the 100-mm diameter A-36 steel shaft is ωomega = 600 rev/min . The journal bearing at EE allows the shaft to turn freely about its axis. The shear modulus of elasticity for A-36 steel is 75 GPa.arrow_forward1.1. 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 GPaarrow_forward
- . Determine the angle of twist for the steel (AISI 4340, OQT 1200 F) hollow shaft with anoutside diameter of 40 mm and an inside diameter of 30 mm when transmitting 28 kWof power at a speed of 45 rad/sec. The shaft length is 400 mmarrow_forwardDetermine the outer and inner diameter (in mm) of a hollow shaft that is required to carry a bending moment of 2000 N-m and a torque of 4300 N-m if the diameter of the hole is equal to 0.7 of the outer diameter of the shaft. The shaft rotates and loads are applied suddenly, with minor shocks. The maximum bending stress is equivalent to 88 N/mm2. Apply ASME Code for this problem.arrow_forwardThe shaft consists of a 3-in diameter aluminum segment that is rigidly joined to a 2-in diameter steel segment. The ends of the shaft are attached to rigid supports, Calculate the angle of twist developed at the interface of the two segments when the torque T = 50 kip٠in is applied. Use G = 4×106 psi for aluminum and G = 12×106 psi for steel.arrow_forward
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