MECHANICS OF MATERIALS (LOOSE)-W/ACCESS
10th Edition
ISBN: 9780134583228
Author: HIBBELER
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 5.10, Problem 5.138P
It is made of an elastic perfectly plastic material having a yield stress of TY = 150 MPa. Determine the maximum torque it can transmit. What is the angle of twist of one end with respect to the other end if the inner surface of the tube is about to yield? G = 75 GPa.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
The copper pipe has an outer diameter of 40 mm and an inner diameter of 34 mm. It
is tightly secured to the wall at A and three torques are applied to it as shown in the
figure below. (Figure 1)
Figure
80 N.m
A
20 N-m
30 N-m
< 1 of 1
▼
Part A
Determine the absolute maximum shear stress developed in the pipe.
Express your answer to three significant figures and include the appropriate units.
Tmax= Value
Submit
μÀ
Provide Feedback
Request Answer
DW
Units
A compound shaft consists of an
outside tube (1) and an inner tub
(2) that are fully connected
together. Determine the maximun
allowable torque that could be
applied to the compound shaft if
the allowable shear stress in the
outer shaft is Tall, 1 = 89 MPa, and
the allowable shear stress in the
inner shaft is Tall,2 = 62 MPa.[G₁:
39 GPa, G₂ = 16 GPa, d₁ = 102
mm, d₂ = 87 mm, d3 = 55 mm]
Tube (1)
Tube (2)
Answer:
d3
d₂
d₁
Tube (1)
Tube (2)
kN.m
The tubular drive shaft for the propeller of a hovercraft is 6 m long. If the motor delivers 4 MW of power to the shaft when the propellers rotate at 25 rad>s, determine the required inner diameter of the shaft if the outer diameter is 250 mm. What is the angle of twist of the shaft when it is operating? Take tallow = 90 MPa and G = 75 GPa.
Chapter 5 Solutions
MECHANICS OF MATERIALS (LOOSE)-W/ACCESS
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 copper pipe (G= 50 GPa) is tightly secured to the wall at A, has an outer diameter of 40 mm and an inner diameter of 37 mm, and subjected to three torques as shown in Figure 5. Determine the absolute maximum shear stress developed in the pipe and plot the variation of shear stress through the pipe wall. (i) (ii) Produce a graphical plot of the variation of angle of twist from end A to the free end (wind-up diagram) if the distances between the applied torques is equal at 300 mm. 80 N.m 20 N·m Figure 5 30 N.marrow_forwardA solid shaft has a diameter of 40 mm and length of 1 m. It is made from an elastic-plastic material having a yield stress of tY = 100 MPa. Determine the maximum elastic torque TY and the corresponding angle of twist. What is the angle of twist if the torque is increased to T = 1.2TY? G = 80 GPa.arrow_forwardFind out the outer diameter of the hollow shaft, if the allowable shear stress induced in it is 53MPa and the permissible value of Torque in it is 2000Nm. Take the value of k to be 0.6 k = the ratio of inner diameter to outer diameter.arrow_forward
- The halves of the coupling are held together by four 5/8-in.-diameter bolts. The working stresses are 12 ksi for shear in the bolts and 15 ksi for bearing in the coupling. Find the largest torque T that can be safely transmitted by the coupling. Assume that the forces in the bolts have equal magnitudes. 0.5 in. 3.5 in.arrow_forwardWhat torque, T, should be applied to the end of the steel shaft shown in order to produce a twist of 1.5 degrees? Use G = 80 GPa for the shear modulus.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
- A shaft required to transmit 50kW of power will be running at 100rev/min. The maximum twist in 3m length of the shaft is limited to 1.5 degree. If the maximum torque is 30 percent more than mean or average torque. Assume entirely elastic action and take modulus of rigidity for the shaft material G = 135 GN/?2. Determine the following:a. Diameter of the shaft.b. Maximum shear stress developed in the shaft. I need answer ASAP. Thank you!arrow_forwardA rod is made from two segments: AB is steel and BC is brass. It is fixed at its ends and subjected to a torque of T = 695 N-m. The steel portion has a diameter of 30 mm. Assume the support reactions at the walls will be the same. В 1.60 m 0.75 m Gst = 75GPA, Gpr = 39 GPa.arrow_forwardThe copper pipe [G = 6,000 ksi] has an outside diameter of 3.375 in. and a wall thickness of 0.250 in. The pipe is subjected to a uniformly distributed torque of t = 85 lb-ft/ft along its entire length. Using a = 2.5 ft, b = 3.5 ft, and c =7.0 ft, determine (a) the maximum shear stress in the pipe. (b) the rotation angle pc at the free end of the shaft. b B C Answers: (a) Tmax psi i rad (b) ¤c = iarrow_forward
- Four pulleys are attached to the 50-mm-diameter aluminum shaft. If torques are applied to the pulleys as shown in the figure, determine the angle of rotation of pulley D relative to pulley A. Use G = 28 GPa for aluminum. 600 N m 900 N m 1100 N m 800 N m 2 m 2 m 3 marrow_forwardI need to figure out what the right answer is.. I dont believe I have the right one selcted!arrow_forwardYou are designing a driveshaft for a motor from a material with G = 15,000 ksi. The specifications for the project require a solid shaft to be used. Based on the location of the motor, the driveshaft has a length L = 9.55 ft. The motor provides 67 hp at a rotation rate of 2475 rpm.Your design requires φ ≤ 0.905° over the length of the shaft. Additionally, the maximum shear stress in the material τmax ≤ 4.0 ksi.Determine rmin, the minimum radiusarrow_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
Pressure Vessels Introduction; Author: Engineering and Design Solutions;https://www.youtube.com/watch?v=Z1J97IpFc2k;License: Standard youtube license