Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)
10th Edition
ISBN: 9780073398204
Author: Richard G Budynas, Keith J Nisbett
Publisher: McGraw-Hill Education
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Chapter 3, Problem 139P
A pair of mating steel spur gears with a 0.75-in face width transmits a load of 40 lbf. For estimating the contact stresses, make the simplifying assumption that the teeth profiles can be treated as cylindrical with instantaneous radii at the contact point of interest of 0.47 in and 0.62 in, respectively. Estimate the maximum contact pressure and the maximum shear stress experienced by either gear.
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1) A pair of cast iron bevel gears connect two shafts at right angles. The pitch diameters of the pinion
and gear are 80 mm and 100 mm respectively. The tooth profiles of the gears are of 14 1/2°
composite form. The allowable static stress for both the gears is 55 MPa. If the pinion transmits 2.75
kW at 1100 r.p.m., find the module and number of teeth on each gear from the standpoint of strength
and check the design from the standpoint of wear. Take surface endurance limit as 630 MPa and
modulus of elasticity for cast iron as 84 kN/mm2.
1) A pair of cast iron bevel gears connect two shafts at right angles. The pitch diameters of the pinion
and gear are 80 mm and 100 mm respectively. The tooth profiles of the gears are of 14 1/2°
composite form. The allowable static stress for both the gears is 55 MPa. If the pinion transmits 2.75
kW at 1100 r.p.m., find the module and number of teeth on each gear from the standpoint of strength
and check the design from the standpoint of wear. Take surface endurance limit as 630 MPa and
modulus of elasticity for cast iron as 84 kN/mm².
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A short stub shaft, made of SAE 1035, as rolled, receivers 30 hp at 300 rpm via a 12-in. spur gear, the power being delivered to another shaft through a flexible coupling. The gear is keyed (profile keyway) midway between the bearings. The pressure angle of the gear teeth 20o, N = 1.5 based on the octahedral shear stress theory with varying stresses. (a) Neglecting the radial component R of the tooth load W , determine the shaft diameter. (b) Considering both the tangential and the radial components, compute the shaft diameters. (c) Is the difference in the results of the parts (a) and (b) enough to change your choice of the shaft size?
Chapter 3 Solutions
Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)
Ch. 3 - 31 to 34 Sketch a free-body diagram of each...Ch. 3 - 31 to 34 Sketch a free-body diagram of each...Ch. 3 - Sketch a free-body diagram of each element in the...Ch. 3 - 3-1 to 3-4 Sketch a free-body diagram of each...Ch. 3 - 35 to 38 For the beam shown, find the reactions at...Ch. 3 - 35 to 38 For the beam shown, find the reactions at...Ch. 3 - 35 to 38 For the beam shown, find the reactions at...Ch. 3 - For the beam shown, find the reactions at the...Ch. 3 - For the beam shown, find the reactions at the...Ch. 3 - Repeat Prob. 36 using singularity functions...
Ch. 3 - Repeat Prob. 37 using singularity functions...Ch. 3 - Repeat Prob. 38 using singularity functions...Ch. 3 - For a beam from Table A9, as specified by your...Ch. 3 - A beam carrying a uniform load is simply supported...Ch. 3 - For each of the plane stress states listed below,...Ch. 3 - Repeat Prob. 315 for: (a)x = 28 MPa, y = 7 MPa, xy...Ch. 3 - Repeat Prob. 315 for: a) x = 12 kpsi, y = 6 kpsi,...Ch. 3 - For each of the stress states listed below, find...Ch. 3 - Repeat Prob. 318 for: (a)x = 10 kpsi, y = 4 kpsi...Ch. 3 - The state of stress at a point is x = 6, y = 18, z...Ch. 3 - The state of stress at a point is x = 6, y = 18, z...Ch. 3 - Repeat Prob. 320 with x = 10, y = 40, z = 40, xy =...Ch. 3 - A 34-in-diameter steel tension rod is 5 ft long...Ch. 3 - Repeat Prob. 323 except change the rod to aluminum...Ch. 3 - A 30-mm-diameter copper rod is 1 m long with a...Ch. 3 - A diagonal aluminum alloy tension rod of diameter...Ch. 3 - Repeat Prob. 326 with d = 16 mm, l = 3 m, and...Ch. 3 - Repeat Prob. 326 with d = 58 in, l = 10 ft, and...Ch. 3 - Electrical strain gauges were applied to a notched...Ch. 3 - Repeat Prob. 329 for a material of aluminum. 3-29...Ch. 3 - The Roman method for addressing uncertainty in...Ch. 3 - Using our experience with concentrated loading on...Ch. 3 - The Chicago North Shore Milwaukee Railroad was an...Ch. 3 - For each section illustrated, find the second...Ch. 3 - 3-35 to 3-38 For the beam illustrated in the...Ch. 3 - 3-35 to 3-38 For the beam illustrated in the...Ch. 3 - 3-35 to 3-38 For the beam illustrated in the...Ch. 3 - 3-35 to 3-38 For the beam illustrated in the...Ch. 3 - The figure illustrates a number of beam sections....Ch. 3 - A pin in a knuckle joint canning a tensile load F...Ch. 3 - Repeat Prob. 3-40 for a = 6 mm, b = 18 mm. d = 12...Ch. 3 - For the knuckle joint described in Prob. 3-40,...Ch. 3 - The figure illustrates a pin tightly fitted into a...Ch. 3 - For the beam shown, determine (a) the maximum...Ch. 3 - A cantilever beam with a 1-in-diameter round cross...Ch. 3 - Consider a simply supported beam of rectangular...Ch. 3 - In Prob. 346, h 0 as x 0, which cannot occur. If...Ch. 3 - 348 and 349 The beam shown is loaded in the xy and...Ch. 3 - The beam shown is loaded in the xy and xz planes....Ch. 3 - Two steel thin-wall tubes in torsion of equal...Ch. 3 - Consider a 1-in-square steel thin-walled tube...Ch. 3 - The thin-walled open cross-section shown is...Ch. 3 - 3-53 to 3-55 Using the results from Prob. 3-52,...Ch. 3 - 3-53 to 3-55 Using the results from Prob. 3-52,...Ch. 3 - 3-53 to 3-55 Using the results from Prob. 3-52,...Ch. 3 - Two 300-mm-long rectangular steel strips are...Ch. 3 - Using a maximum allowable shear stress of 70 Mpa,...Ch. 3 - Repeat Prob. 357 with an allowable shear stress of...Ch. 3 - Using an allowable shear stress of 50 MPa,...Ch. 3 - A 20-mm-diameter steel bar is to be used as a...Ch. 3 - A 2-ft-long steel bar with a 34-in diameter is to...Ch. 3 - A 40-mm-diameter solid steel shaft, used as a...Ch. 3 - Generalize Prob. 3-62 for a solid shaft of...Ch. 3 - A hollow steel shaft is to transmit 4200 N m of...Ch. 3 - The figure shows an endless-bell conveyor drive...Ch. 3 - The conveyer drive roll in the figure for Prob....Ch. 3 - Consider two shafts in torsion, each of the same...Ch. 3 - 3-68 to 3-71 A countershaft two V-belt pulleys is...Ch. 3 - 3-68 to 3-71 A countershaft two V-belt pulleys is...Ch. 3 - 3-68 to 3-71 A countershaft two V-belt pulleys is...Ch. 3 - A countershaft carrying two V-belt pulleys is...Ch. 3 - A gear reduction unit uses the countershaft shown...Ch. 3 - Prob. 73PCh. 3 - Prob. 74PCh. 3 - Prob. 75PCh. 3 - Prob. 76PCh. 3 - Prob. 77PCh. 3 - Prob. 78PCh. 3 - Prob. 79PCh. 3 - The cantilevered bar in the figure is made from a...Ch. 3 - Repeat Prob. 3-80 with Fx = 0, Fy = 175 lbf, and...Ch. 3 - Repeat Prob. 3-80 with Fx = 75 lbf, Fy= 200 lbf,...Ch. 3 - For the handle in Prob. 3-80, one potential...Ch. 3 - The cantilevered bar in the figure is made from a...Ch. 3 - Repeat Prob. 3-84 with Fx = 300 lbf, Fy = 250 lbf,...Ch. 3 - Repeat Prob. 3-84 with Fx = 300 lbf, Fy = 250 lbf,...Ch. 3 - Repeat Prob. 3-84 for a brittle material,...Ch. 3 - Repeat Prob. 3-84 with Fx = 300 lbf, Fy = 250 lbf,...Ch. 3 - Repeat Prob. 3-84 with Fx = 300 lbf, Fy = 250 lbf,...Ch. 3 - The figure shows a simple model of the loading of...Ch. 3 - Develop the formulas for the maximum radial and...Ch. 3 - Repeat Prob. 391 where the cylinder is subject to...Ch. 3 - Develop the equations for the principal stresses...Ch. 3 - 3-94 to 3-96 A pressure cylinder has an outer...Ch. 3 - 3-94 to 3-96 A pressure cylinder has an outer...Ch. 3 - 3-94 to 3-96A pressure cylinder has an outer...Ch. 3 - 3-97 to 3-99 A pressure cylinder has an outer...Ch. 3 - 3-97 to 3-99 A pressure cylinder has an outer...Ch. 3 - 3-97 to 3-99 A pressure cylinder has an outer...Ch. 3 - An AISI 1040 cold-drawn steel tube has an OD = 50...Ch. 3 - Repeat Prob. 3-100 with an OD of 2 in and wall...Ch. 3 - Prob. 102PCh. 3 - Prob. 103PCh. 3 - A thin-walled cylindrical Steel water storage tank...Ch. 3 - Repeat Prob. 3-104 with the tank being pressurized...Ch. 3 - Find the maximum shear stress in a 512-in-diameter...Ch. 3 - The maximum recommended speed for a...Ch. 3 - An abrasive cutoff wheel has a diameter of 5 in,...Ch. 3 - A rotary lawnmower blade rotates at 3500 rev/min....Ch. 3 - 3110 to 3115 The table lists the maximum and...Ch. 3 - Prob. 111PCh. 3 - Prob. 112PCh. 3 - 3110 to 3115 The table lists the maximum and...Ch. 3 - Prob. 114PCh. 3 - Prob. 115PCh. 3 - 3116 to 3119 The table gives data concerning the...Ch. 3 - Prob. 117PCh. 3 - Prob. 118PCh. 3 - 3116 to 3119 The table gives data concerning the...Ch. 3 - A utility hook was formed from a round rod of...Ch. 3 - A utility hook was formed from a round rod of...Ch. 3 - The steel eyebolt shown in the figure is loaded...Ch. 3 - For Prob. 3122 estimate the stresses at the inner...Ch. 3 - Repeat Prob. 3122 with d = 14 in, Ri = 12 in, and...Ch. 3 - Repeat Prob. 3123 with d = 14 in, Ri = 12 in, and...Ch. 3 - Shown in the figure is a 12-gauge (0.1094-in) by...Ch. 3 - Repeat Prob. 3126 with a 10-gauge (0.1406-in)...Ch. 3 - Prob. 128PCh. 3 - The cast-iron bell-crank lever depicted in the...Ch. 3 - Prob. 130PCh. 3 - Prob. 131PCh. 3 - A cast-steel C frame as shown in the figure has a...Ch. 3 - Two carbon steel balls, each 30 mm in diameter,...Ch. 3 - A carbon steel ball with 25-mm diameter is pressed...Ch. 3 - Repeat Prob. 3134 but determine the maximum shear...Ch. 3 - A carbon steel ball with a 30-mm diameter is...Ch. 3 - An AISI 1018 steel ball with 1-in diameter is used...Ch. 3 - An aluminum alloy cylindrical roller with diameter...Ch. 3 - A pair of mating steel spur gears with a 0.75-in...Ch. 3 - 3140 to 3142 A wheel of diameter d and width w...Ch. 3 - 3140 to 3142 A wheel of diameter d and width w...Ch. 3 - 3140 to 3142 A wheel of diameter d and width w...
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