Mechanics of Materials
9th Edition
ISBN: 9780133254426
Author: Russell C. Hibbeler
Publisher: Prentice Hall
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
thumb_up100%
Chapter 5.7, Problem 5.119P
If it is subjected to a torque of T = 40 N·m. determine the average shear stress developed at points A and B. Indicate the shear stress on volume elements located at these points.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
The copper pipe has an outer diameter of 3 in. and an inner diameter of 2.50 in. If it is tightly secured to the wall at C and it is subjected to the uniformly distributed torque along its entire length, determine the absolute maximum shear stress in the pipe. Discuss the validity of this result.
Determine the internal torque at each section and show the shear stress on differential volume elements located at A, B, C, and D.
The shaft has an outer diameter of 100 mm and an inner diameter of 80 mm. If it is subjected to
the three torques, plot the shear stress distribution along a radial line for the cross section
within region CD of the shaft. The smooth bearings at A and B do not resist torque.
E
10 kN m
B
15 kN m
5 kN-m
Chapter 5 Solutions
Mechanics of Materials
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 - 5-3. The solid shaft is fixed to the support at C...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 - Prob. 5.6PCh. 5.3 - Prob. 5.7PCh. 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 - Prob. 5.10PCh. 5.3 - The assembly consists of two sections of...Ch. 5.3 - Prob. 5.12PCh. 5.3 - 5-13. If The tubular shaft is made from material...Ch. 5.3 - A steel tube having an outer diameter of 2.5 in....Ch. 5.3 - Prob. 5.15PCh. 5.3 - Prob. 5.16PCh. 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 - 5-19. The shaft consists of solid 80-mm-diameter...Ch. 5.3 - Prob. 5.20PCh. 5.3 - 5-21. If the 40-mm-diameter rod is subjected to a...Ch. 5.3 - Prob. 5.22PCh. 5.3 - Prob. 5.23PCh. 5.3 - Prob. 5.24PCh. 5.3 - Prob. 5.25PCh. 5.3 - Prob. 5.26PCh. 5.3 - Prob. 5.27PCh. 5.3 - Prob. 5.28PCh. 5.3 - Prob. 5.29PCh. 5.3 - Prob. 5.30PCh. 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 - Prob. 5.33PCh. 5.3 - Prob. 5.34PCh. 5.3 - Prob. 5.35PCh. 5.3 - Prob. 5.36PCh. 5.3 - Prob. 5.37PCh. 5.3 - Prob. 5.38PCh. 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 - *5-44. The rod has a diameter of 0.5 in. and...Ch. 5.3 - 5-45. Solve Prob. 5-44 for the maximum torsional...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 - 5-49. The A-36 steel axle is made from tubes AB...Ch. 5.4 - Prob. 5.50PCh. 5.4 - Determine the maximum allowable torque T. Also,...Ch. 5.4 - If the allowable shear stress is allow = 80 MPa,...Ch. 5.4 - Prob. 5.53PCh. 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 - *5-56. The A-36 steel axle is made from tubes AB...Ch. 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 - Prob. 5.61PCh. 5.4 - Prob. 5.62PCh. 5.4 - Prob. 5.63PCh. 5.4 - Prob. 5.64PCh. 5.4 - Prob. 5.65PCh. 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 - Prob. 5.68PCh. 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 - Prob. 5.72PCh. 5.4 - If the shaft is subjected to a torque T at its...Ch. 5.4 - Prob. 5.74PCh. 5.4 - Prob. 5.75PCh. 5.4 - *5-76. A cylindrical spring consists of a rubber...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 - Prob. 5.80PCh. 5.5 - Prob. 5.81PCh. 5.5 - 5-82. The shaft is made from a solid steel section...Ch. 5.5 - 5-83. The motor A develops a torque at gear B of...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 - The shaft is subjected to a torque of 800 lbft....Ch. 5.5 - Prob. 5.91PCh. 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 - 5-95. The aluminum rod has a square cross section...Ch. 5.7 - Prob. 5.96PCh. 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 - 5-102. The aluminum strut is fixed between the two...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 - 5-110. For a given maximum average shear stress,...Ch. 5.7 - 5-111. A torque T is applied to two tubes having...Ch. 5.7 - By what percentage is the torsional strength...Ch. 5.7 - 5-113. Determine the constant thickness of the...Ch. 5.7 - 5-114. Determine the torque T that can be applied...Ch. 5.7 - If the allowable shear stress is allow = 8 ksi,...Ch. 5.7 - *5-116. The tube is made of plastic, is 5 mm...Ch. 5.7 - 5–117. The mean dimensions of the cross section of...Ch. 5.7 - 5–118. The mean dimensions of the cross section of...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 - 5–121. The step shaft is to be designed to rotate...Ch. 5.10 - Prob. 5.122PCh. 5.10 - 5–123. The transition at the cross sections of the...Ch. 5.10 - *5–124. The steel used for the step shaft has an...Ch. 5.10 - 5–125. The step shaft is subjected to a torque of...Ch. 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 - 5–131. An 80-mm-diameter solid circular shaft is...Ch. 5.10 - Determine the ratio of the plastic torque Tp to...Ch. 5.10 - 5–133. If the step shaft is elastic-plastic as...Ch. 5.10 - 5–134. The solid shaft is made from an...Ch. 5.10 - 5–135. A 1.5-in.-diameter shaft is made from an...Ch. 5.10 - *5–136. The tubular shaft is made of a...Ch. 5.10 - 5–137. The shaft is made from a strain-hardening...Ch. 5.10 - 5–138. The tube is made of elastic-perfectly...Ch. 5.10 - Determine the torque required to cause a maximum...Ch. 5.10 - *5–140. The 2-m-long tube is made of an...Ch. 5.10 - is made from an elastic perfectly plastic material...Ch. 5.10 - 5–142. The 2-m-long lube is made from an...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 has an outer diameter of 2.50 in. and an inner diameter of 2.30 in. If it is tightly secured to the wall and three torques are applied to it, determine the shear stress developed at points A and B. These points lie on the pipe’s outer surface. Sketch the shear stress on volume elements located at A and B.arrow_forwardThe 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•ftarrow_forwardThe shaft consists of three concentric tubes, each made from the same material and having the inner and outer radii as shown. If the torque of T=800 N•m is applied to the rigid disk fixed to its end, determine the maximum shear stress in the shaft. S •5-9. The shaft consists of three concentric tubes, each made from the same material and having the inner and outer radii shown. If a torque of T the rigid disk fixed to its end, determine the maximum shear stress in the shaft. = 800 N• m is applied to T= 800 N.m r = 20 mm ro = 25 mm 2 m r; = 26 mm ro = 30 mm %3D r; = 32 mm 38 mm Prob. 5-9arrow_forward
- 2. The solid shaft has a diameter of 0.75 in. If it is subjected to the torques shown, determine the maximum shear stress developed in regions CD and EF of the shaft. The bearings at A and F allow free rotation of the (ANS: point A: 6.04 MPa, point B: 6.04 MPa) shaft. J. -12 (0.75)² = 0.0129 11 B A 25 lb-ft 40 lb-ft 20 lb-ft 35 lb-ftarrow_forwardProblem 2 5-5. The copper pipe has an outer diameter of 40 mm and an inner diameter of 37 mm. If it is tightly secured to the wall at A and three torques are applied to it as shown, determine the absolute maximum shear stress developed in the pipe. 80 N-m 20 N-m 30 N-marrow_forwardThe copper pipe has an outer diameter of 40 mm and an inner diameter of 37 mm. If it is tightly secured to the wall at A and three torques are applied to it as shown, determine the absolute maximum shear stress developed in the pipe. Determine the angle of twist of the end B.Take G=37GPa. 80 N-m 20 N-m 30 N-m 800 mm 600 mm 200 mmarrow_forward
- The copper pipe has an outer diameter of 40 mm and an inner diameter of 37 mm. If it is tightly secured to the wall and three torques are applied to it, determine the absolute maximum shear stress developed in the pipe.arrow_forwardThe 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_forwardPS-I. Determine the internal torque at each section and show the shear strem on differential volume elements located at A, B,C, and D. 300 Nmarrow_forward
- The copper pipe has an outer diameter of 50 mm and an inner diameter of 40 mm. It is tightly secured to the wall at A and three torques are applied to it as shown. determine the shear stress at each segment and the absolute maximum shear stress developed in the pipe. 80 N-m 20 N-m 30 N-marrow_forward= 5-6. The solid shaft has a diameter of 0.75 in. If it is subjected to the torques shown, determine the maximum shear stress developed in regions BC and DE of the shaft. The bearings at A and Fallow free rotation of the shaft. B 20 lb-ft 35 lb-ft 40 lb-ft 25 lb-ft Probs. 5-6/7arrow_forwardThe shaft is subjected to a distributed torque along its length of t = (10x2) N # m>m, where x is in meters. If the maximum stress in the shaft is to remain constant at 80 MPa, determine the required variation of the radius c of the shaft for 0 ≤ x ≤ 3 m.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
BEARINGS BASICS and Bearing Life for Mechanical Design in 10 Minutes!; Author: Less Boring Lectures;https://www.youtube.com/watch?v=aU4CVZo3wgk;License: Standard Youtube License