Mechanics of Materials (10th Edition)
10th Edition
ISBN: 9780134319650
Author: Russell C. Hibbeler
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 5.10, Problem 5.141P
is made from an elastic perfectly plastic material as shown. Determine the torque T that must be applied to its ends so that it has an elastic core of radius ρ = 0.6 in. If the shaft is 30 in. long, determine the angle of twist.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
The compound shaft carries the two torques shown. The shear moduli are 28 GPa for aluminum, 83 GPa for steel, and 35 Gpa for
bronze. If T = 1168.7 Nm, U = 4515 Nm, x = 3.01 m, y = 2.36 m, z = 1.35 m, d = 90 mm, and e = 83 mm, find the angle of rotation of
the free end of the shaft. Round off the final answer to two decimal places.
U
T
Aluminum
Steel
Bronze
The shaft is made from a solid steel section AB and a tubular
portion made of steel and having a brass core. If it is fixed to a
rigid support at A, and a torque of T = 50 lb.ft is applied to it at
C, determine the rotation angle that occurs at C relative to A and
compute the maximum shear stress and maximum shear strain in
the brass and steel. Take Gst = 11500 ksi, Gbr = 5600 Ksi.
3 ft
0.5 in.
B
1 in.
T = 50 lb•ft
Determine the torque needed to twist a short 2-mm-diameter steel wire through several revolutions if it is made from steel assumed to be elastic perfectly plastic and having a yield stress of tY = 50 MPa. Assume that the material becomes fully plastic.
Chapter 5 Solutions
Mechanics of Materials (10th Edition)
Ch. 5.3 - Determine the internal torque at each section and...Ch. 5.3 - Determine the. internal torque at each section and...Ch. 5.3 - The solid and hollow shafts are each subjected to...Ch. 5.3 - The motor delivers 10 hp to the shaft. If it...Ch. 5.3 - The solid circular shaft is subjected to an...Ch. 5.3 - The hollow circular shaft is subjected to an...Ch. 5.3 - The shaft is hollow from A to B and solid from B...Ch. 5.3 - Determine the maximum shear stress in the...Ch. 5.3 - Determine the maximum shear stress in the shaft at...Ch. 5.3 - Determine the shear stress a: point A on the...
Ch. 5.3 - The solid 50-mm-diameter shaft is subjected to the...Ch. 5.3 - The gear motor can develop 3 hp when it turns at...Ch. 5.3 - The solid shaft of radius r is subjected to a...Ch. 5.3 - The solid shaft of radius r is subjected to a...Ch. 5.3 - A shaft is made of an aluminum alloy having an...Ch. 5.3 - The copper pipe has an outer diameter of 40 mm and...Ch. 5.3 - The copper pipe has an outer diameter of 2.50 in....Ch. 5.3 - The solid aluminum shaft has a diameter of 50 mm...Ch. 5.3 - The solid aluminum shaft has a diameter of 50 mm....Ch. 5.3 - The solid 30-mm-diameter shaft is used to transmit...Ch. 5.3 - The solid shaft is fixed to the support at C and...Ch. 5.3 - The link acts as part of the elevator control for...Ch. 5.3 - The assembly consists of two sections of...Ch. 5.3 - The shaft has an outer diameter of 100 mm and an...Ch. 5.3 - The shaft has an outer diameter of 100 mm and an...Ch. 5.3 - A steel tube having an outer diameter of 2.5 in....Ch. 5.3 - If the gears are subjected to the torques shown,...Ch. 5.3 - If the gears are subjected to the torques shown,...Ch. 5.3 - The rod has a diameter of 1 in. and a weight of 10...Ch. 5.3 - The rod has a diameter of 1 in. and a weight of 15...Ch. 5.3 - The copper pipe has an outer diameter of 3 in. and...Ch. 5.3 - The copper pipe has an outer diameter of 3 in. and...Ch. 5.3 - The 60-mm-diameter solid shaft is subjected to the...Ch. 5.3 - The 60-mm-diameter solid shaft is subjected to the...Ch. 5.3 - The solid shaft is subjected to the distributed...Ch. 5.3 - The 60-mm-diameter solid shaft is subjected to the...Ch. 5.3 - The solid shaft is subjected to the distributed...Ch. 5.3 - The pipe has an outer radius r0 and inner radius...Ch. 5.3 - The drive shaft AB of an automobile is made of a...Ch. 5.3 - The drive shaft AB of an automobile is to be...Ch. 5.3 - Prob. 5.29PCh. 5.3 - The motor delivers 50 hp while turning at a...Ch. 5.3 - The solid steel shaft AC has a diameter of 25 mm...Ch. 5.3 - The pump operates using the motor that has a power...Ch. 5.3 - The gear motor can develop 110 hp when it turns at...Ch. 5.3 - The gear motor can develop 110 hp when it turns at...Ch. 5.3 - The gear motor can develop 14 hp when it turns at...Ch. 5.3 - The gear motor can develop 2 hp when it turns at...Ch. 5.3 - The 6-hp reducer motor can turn at 1200 rev/min....Ch. 5.3 - The 6-hp reducer motor can turn at 1200 rev/min....Ch. 5.3 - Prob. 5.39PCh. 5.3 - Prob. 5.40PCh. 5.3 - The A-36 steel tubular shaft is 2 m long and has...Ch. 5.3 - Prob. 5.42PCh. 5.3 - The solid shaft has a linear taper from rA at one...Ch. 5.3 - The 1-in.-diameter bent rod is subjected to the...Ch. 5.3 - The 1-in.-diameter bent rod is subjected to the...Ch. 5.3 - A motor delivers 500 hp to the shaft, which is...Ch. 5.4 - The 60 mm-diameter steel shaft is subjected to the...Ch. 5.4 - Prob. 5.10FPCh. 5.4 - The hollow 6061-T6 aluminum shaft has an outer and...Ch. 5.4 - A series of gears are mounted on the...Ch. 5.4 - The 80-mm-diameter shaft is made of steel. If it...Ch. 5.4 - The 80-mm-diameter shaft is made of steel. If it...Ch. 5.4 - The propellers of a ship are connected to an A-36...Ch. 5.4 - Show that the maximum shear strain in the shaft is...Ch. 5.4 - Determine the angle of twist of end B with respect...Ch. 5.4 - Determine the absolute maximum shear stress in the...Ch. 5.4 - Determine the maximum allowable torque T. Also,...Ch. 5.4 - If the allowable shear stress is allow = 80 MPa,...Ch. 5.4 - Determine the angle of twist of the end A.Ch. 5.4 - If gear B supplies 15 kW of power, while gears A,...Ch. 5.4 - If the shaft is made of steel with the allowable...Ch. 5.4 - Prob. 5.56PCh. 5.4 - If the rotation of the 100-mm-diameter A-36 steel...Ch. 5.4 - If the rotation of the 100-mm-diameter A-36 steel...Ch. 5.4 - It has a diameter of 1 in. and is supported by...Ch. 5.4 - Prob. 5.60PCh. 5.4 - Determine the absolute maximum shear stress in the...Ch. 5.4 - If the rotation of the 100-mm-diameter A992 steel...Ch. 5.4 - If the mixer is connected to an A-36 steel tubular...Ch. 5.4 - If the mixer is connected to an A-36 steel tubular...Ch. 5.4 - Also, calculate the absolute maximum shear stress...Ch. 5.4 - When it is rotating at 80 rad/s. it transmits 32...Ch. 5.4 - It is required to transmit 35 kW of power from the...Ch. 5.4 - Determine the angle of twist at end A. The shear...Ch. 5.4 - If a torque of T = 50 N m is applied to the bolt...Ch. 5.4 - If a torque of T= 50N m is applied to the bolt...Ch. 5.4 - If the motor delivers 4 MW of power to the shaft...Ch. 5.4 - Determine the angle of twist at the free end A of...Ch. 5.4 - Prob. 5.73PCh. 5.4 - Prob. 5.74PCh. 5.4 - Determine the angle of twist at the free end A of...Ch. 5.4 - If the shaft is subjected to a torque T at its...Ch. 5.5 - Gst = 75 GPa.Ch. 5.5 - The A992 steel shaft has a diameter of 60 mm and...Ch. 5.5 - If the shaft is fixed at its ends A and B and...Ch. 5.5 - and a thickness of 0.125 in. The coupling on it at...Ch. 5.5 - The coupling on it at C is being tightened using...Ch. 5.5 - The shaft is made of L2 tool steel, has a diameter...Ch. 5.5 - The shaft is made of L2 tool steel, has a diameter...Ch. 5.5 - If the allowable shear stresses for the magnesium...Ch. 5.5 - If a torque of T = 5 kNm is applied to end A,...Ch. 5.5 - Each has a diameter of 25 mm and they are...Ch. 5.5 - Each has a diameter of 25 mm and they are...Ch. 5.5 - It is fixed at its ends and subjected to a torque...Ch. 5.5 - 5–89. Determine the absolute maximum shear stress...Ch. 5.5 - Each has a diameter of 1.5 in. and they are...Ch. 5.5 - The shaft is subjected to a torque of 800 lbft....Ch. 5.5 - The shaft is made of 2014-T6 aluminum alloy and is...Ch. 5.5 - The tapered shaft is confined by the fixed...Ch. 5.5 - Determine the reactions at the fixed supports A...Ch. 5.7 - If the yield stress for brass is Y = 205 MPa,...Ch. 5.7 - By what percentage is the shaft of circular cross...Ch. 5.7 - Prob. 5.97PCh. 5.7 - If it is subjected to the torsional loading,...Ch. 5.7 - Solve Prob.5-98 for the maximum shear stress...Ch. 5.7 - determine the maximum shear stress in the shaft....Ch. 5.7 - If the shaft has an equilateral triangle cross...Ch. 5.7 - by 2 in. square cross section, and it is subjected...Ch. 5.7 - is applied to the tube If the wall thickness is...Ch. 5.7 - If it is 2 m long, determine the maximum shear...Ch. 5.7 - Also, find the angle of twist of end B. The shaft...Ch. 5.7 - Also, find the corresponding angle of twist at end...Ch. 5.7 - If the solid shaft is made from red brass C83400...Ch. 5.7 - If the solid shaft is made from red brass C83400...Ch. 5.7 - The tube is 0.1 in. thick.Ch. 5.7 - Prob. 5.110PCh. 5.7 - Determine the average shear stress in the tube if...Ch. 5.7 - By what percentage is the torsional strength...Ch. 5.7 - Prob. 5.113PCh. 5.7 - Prob. 5.114PCh. 5.7 - If the allowable shear stress is allow = 8 ksi,...Ch. 5.7 - Prob. 5.116PCh. 5.7 - If the allowable shear stress is allow = 80 MPa,...Ch. 5.7 - If the applied torque is T = 50 Nm, determine the...Ch. 5.7 - If it is subjected to a torque of T = 40 Nm....Ch. 5.10 - If the transition between the cross sections has a...Ch. 5.10 - Prob. 5.121PCh. 5.10 - If the radius of the fillet weld connecting the...Ch. 5.10 - Prob. 5.123PCh. 5.10 - Determine the maximum shear stress in the shaft. A...Ch. 5.10 - Prob. 5.125PCh. 5.10 - Determine the radius of the elastic core produced...Ch. 5.10 - Assume that the material becomes fully plastic.Ch. 5.10 - diameter is subjected to a torque of 100 in.kip....Ch. 5.10 - Determine the torque T needed to form an elastic...Ch. 5.10 - Determine the torque applied to the shaft.Ch. 5.10 - Prob. 5.131PCh. 5.10 - Determine the ratio of the plastic torque Tp to...Ch. 5.10 - Determine the applied torque T, which subjects the...Ch. 5.10 - Determine the torque needed to just cause the...Ch. 5.10 - Determine the radius of its elastic core if it is...Ch. 5.10 - Plot the shear-stress distribution acting along a...Ch. 5.10 - If the material obeys a shear stress-strain...Ch. 5.10 - It is made of an elastic perfectly plastic...Ch. 5.10 - Prob. 5.139PCh. 5.10 - Prob. 5.140PCh. 5.10 - is made from an elastic perfectly plastic material...Ch. 5.10 - Prob. 5.142PCh. 5.10 - If the materials have the diagrams shown,...Ch. 5.10 - Determine the torque required to cause a maximum...Ch. 5 - The shaft is made of A992 steel and has an...Ch. 5 - The shaft is made of A992 steel and has an...Ch. 5 - Determine the shear stress at the mean radius p =...Ch. 5 - If the thickness of its 2014-T6-aluminum skin is...Ch. 5 - Determine which shaft geometry will resist the...Ch. 5 - If couple forces P = 3 kip are applied to the...Ch. 5 - If the allowable shear stress for the aluminum is...Ch. 5 - Determine the angle of twist of its end A if it is...Ch. 5 - This motion is caused by the unequal belt tensions...
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
- The electric motor exerts a torque of 800 N- m on the steel shaft ABCD when it is rotating at a constant speed. The angle of twist between A and D is limited to 1.50 degree. Use maximum shear = 60 MPa and modulus of rigidity = 77 GPa. Solve its torque for each shaft AB and BC. And determine the diameter of the Shaft based on strength. 300 N.m 500 N.m 0.4 m 0.6 m 0.3 marrow_forwardA solid shaft has a diameter of 25 mm and is subjected to a torque of 200 Nm at one end.Determine the maximum shear stress in the shaft and the angle of twist over 0.8 m length.Given that the Modulus of Rigidity, G = 85GPa.arrow_forwardTwo forces, each of magnitude P, are applied to the wrench. The diameter of the steel shaft AB is 13 mm. Determine the allowable value of P its angle of twist is limited to 4°. Use G = 80 GPa for steel.arrow_forward
- The diameter of and LcD = 240 mm. 1. The lengths LAB = LBC = 200 mm parts AB and CD of the bar is 25 mm and the diameter of part BC is 50 mm. The shear modulus of the material is G = 80 GPa. If the torque T = 2.2 kN- m, determine the magnitude of the angle of twist of the right end of the bar relative to the wall in degrees. 4 kN-m 8 kN-m LAB. LBC. 2. The lengths LAB = LBC = 200 mm and LCD = 240 mm. The diameter of parts AB and CD of the bar is 25 mm and the diameter of part BC is 50 mm. The shear modulus of the material is G = 80 GPa. What value of the torque T would cause the angle of twist of the right end of the bar relative to the wall to be zero? 4 kN-m 8 kN-m LAB. T LBCarrow_forwardThe 3-in.-diameter shaft is made of an elastic perfectly plastic material as shown. Determine the radius of its elastic core if it is subjected to a torque of T = 18 kip # ft. If the shaft is 3 ft long, determine the angle of twist.arrow_forwardThe brass wire has a triangular cross section, 2 mm on a side. If the yield stress for brass is tY = 205 MPa, determine the maximum torque T to which it can be subjected so that the wire will not yield. If this torque is applied to the 4-m-long segment, determine the greatest angle of twist of one end of the wire relative to the other end that will not cause permanent damage to the wire. Gbr = 37 GPa.arrow_forward
- A 3 m solid shaft twist 2° when a 10 kN-m torque is applied. If the shaft has shear modulus of elasticity of 15 GPa, determine the diameter (mm) of the solid shaft when twisting. Length of beam is 5m.arrow_forward*RIO4. The shaft has a radius cand is subjected to a torque per unit length of t, which is distributed uniformly over the shaft's entire length L. If it is fixed at its far end A, determine the angle of twist d of end B. The shear modulus is G.arrow_forwardThe solid shaft of radius r is subjected to a torque T. Determine the radius r of the inner core of the shaft that resists one-half of the applied torque (T>2). Solve the problem two ways: (a) by using the torsion formula, (b) by finding the resultant of the shear-stress distribution.arrow_forward
- The aluminum shaft, composed of three segments, is fastened to rigid supports at A and D. Calculate the maximum shear stress in each segment when the two torques are appliedarrow_forwardtwo solid steel shafts of different diameters are joined together at point C. the diameter of the smaller shaft is 0.5 in, while the diameter of the larger shaft is 1 in. if the supports at both ends, A & B, are unyielding / rigid, and a counterclockwise torque of 500 ft lb at point D, determine the maximum shear stress in the shaft in ksi. The modulus of rigidity for steel is 10800 ksi.Show full solution pleasearrow_forwardA shaft of radius c = 0.75 in. is made from an elastic perfectly plastic material as shown. Determine the torque T that must be applied to its ends so that it has an elastic core of radius r = 0.6 in. If the shaft is 30 in. long, determine the angle of twist.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University Press
Mechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSON
Thermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEY
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Engineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
Understanding Torsion; Author: The Efficient Engineer;https://www.youtube.com/watch?v=1YTKedLQOa0;License: Standard YouTube License, CC-BY