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
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 3, Problem 69P
3-68* to 3-71* A countershaft two V-belt pulleys is shown in the figure. Pulley A receives power from a motor through a belt with the belt tensions shown. The power is transmitted through the shaft and delivered to the belt on pulley B. Assume the belt tension on the loose side at B is 15 percent of the tension on the tight side.
- (a) Determine the tensions in the belt on pulley B, assuming the shaft is running at a constant speed.
- (b) Find the magnitudes of the bearing reaction forces, assuming the bearings act as simple supports.
- (c) Draw shear-force and bending-moment diagrams for the shaft. If needed, make one set for the horizontal plane and another set for the vertical plane.
- (d) At the point of maximum bending moment, determine the bending stress and the torsional shear stress.
- (e) At the point of maximum bending moment, determine the principal stresses and the maximum shear stress.
Problem 3-70*
Dimensions in inches.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionChapter 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...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- Repeat Problem 2.3-29 if vertical load P at D is replaced by a horizontal load P at D (see figure).arrow_forward-19 The mechanical assembly shown in the figure consists of an aluminum tube, a rigid end plate, and two steel cables. The slack is removed from the cables by rotating the turnbuckles until the assembly is snug but with no initial stresses. Afterward, the turnbuckles are tightened by 1.5 turns. Calculate the forces in the tube and the cables and determine the shortening of the tube. As= 0.85 in2 for each cable, AA= 4.5 in2, L = 20 in., Es= 29,000 ksi, EA= 10,600 ksi, and p = 1/16 inarrow_forwardA magnesium-alloy wire of diameter d = 4mm and length L rotates inside a flexible tube in order to open or close a switch from a remote location (see figure). A torque Tis applied manually (either clockwise or counterclockwise) at end 5, thus twisting the wire inside the tube. At the other end A, the rotation of the wire operates a handle that opens or closes the switch. A torque T0 = 0.2 N · m is required to operate the switch. The torsional stiffness of the tube, combined with friction between the tube and the wire, induces a distributed torque of constant intensity t = 0.04N m/m (torque per unit distance) acting along the entire length of the wire. (a) If the allowable shear stress in the wire is T allow = 30 MPa, what is the longest permissible length Lmaxof the wire?arrow_forward
- Solve the preceding problem if the shaft has an outer diameter d2=150 mm and inner diameter d1= 100 mm. Also, the steel has a shear modulus of elasticity G = 75 GPa, and the applied torque is 16 kN ·m.arrow_forwardA mountain bike is moving along a flat path at constant velocity. At some instant, the rider (weight = 670 N) applies pedal and hand forces, as shown in the figure part a. (a) Find reaction forces at the front and rear hubs. (Assume that the bike is pin supported at the rear hub and roller supported at the front hub.) (b) Find internal stress resultants N, V, and M in the inclined seat post (see figure part barrow_forwardA hollow circular tube A fits over the end of a solid circular bar B, as shown in the figure. The far ends of both bars are fixed. Initially, a hole through bar B makes an angle ß with a line through two holes in tube A. Then bar B is twisted until the holes are aligned, and a pin is placed through the holes. When bar B is released and the system returns to equilibrium, what is the total strain energy U of the two bars? (Let lAand lBrepresent the polar moments of inertia of bars A and B, respectively. The length L and shear modulus of elasticity G are the same for both bars.)arrow_forward
- A solid aluminum bar (G = 27 GPa ) of diameter d = 40 mm is subjected to torques T = 300 N - m acting in the directions shown in the figure, Determine the maximum shear, tensile, and compressive stresses in the bar and show these stresses on sketches of properly oriented stress elements. Determine the corresponding maximum strains (shear, tensile, and compressive) in the bar and show these strains on sketches of the deformed elements.arrow_forwardRepeat Problem 3.3-1, but now use a circular tube with outer diameter d0= 2.5 in. and inner diameter di= 1.5 in.arrow_forwardA polyethylene tube (length L) has a cap that when installed compresses a spring (with under-formed length L1) by an amount ?? = (L1 = L). Ignore deformations of the cap and base. Use the force at the base of the spring as the redundant. Use numerical properties given in the boxes. (a) What is the resulting Force-in the spring, Fk? (b) What is the resulting Force in the tube, Ftl (c) What is the filial length of the tube, Lf? (d) What temperature change ?T inside the tube will result in zero force in the springarrow_forward
- A prospector uses a hand-powered winch (see figure) to raise a bucket of ore in his mine shaft. The axle of the winch is a steel rod of diameter d = 0.625 in. Also, the distance from the center of the axle to the center of the lifting rope is b = 4.0 in, If the weight of the loaded bucket is W = 100 lb, what is the maximum shear stress in the axle due to torsion? If the maximum bucket load is 125 lb and the allowable shear stress in the axle is 9250 psi, what is the minimum permissible axle diameter?arrow_forwardA copper tube with circular cross section has length L = 1.25 m, thickness t = 2 mm, and shear modulus of elasticity G = 45 GPa. The bar is designed to carry a 300 N·m torque acting at the ends. If the allowable shear stress is 25 MPa and the allowable angle of twist between the ends is 2.5°, what is the minimum required outer diameter d?arrow_forwardTwo sections of steel drill pipe, joined by bolted flange plates at Ä are being tested to assess the adequacy of both the pipes. In the test, the pipe structure is fixed at A, a concentrated torque of 500 kN - m is applied at x = 0.5 m, and uniformly distributed torque intensity t1= 250 kN m/m is applied on pipe BC. Both pipes have the same inner diameter = 200 mm. Pipe AB has thickness tAB=15 mm, while pipe BC has thickness TBC= 12 mm. Find the maximum shear stress and maximum twist of the pipe and their locations along the pipe. Assume G = 75 GPa.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Understanding Torsion; Author: The Efficient Engineer;https://www.youtube.com/watch?v=1YTKedLQOa0;License: Standard YouTube License, CC-BY