Mechanics of Materials
11th Edition
ISBN: 9780137605460
Author: Russell C. Hibbeler
Publisher: Pearson Education (US)
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 5.3, Problem 31P
The solid steel shaft AC has a diameter of 25 mm and is supported by smooth bearings at D and E. It is coupled to a motor at C, which delivers 3 kW of power to the shaft while it is turning at 50 rev/s. If gears A and B remove 1 kW and 2 kW, respectively, determine the maximum shear stress in the shaft within regions AB and BC. The shaft is free to turn in its support bearings D and E.
Expert Solution & Answer

Learn your wayIncludes step-by-step video

schedule09:52
Students have asked these similar questions
CORRECT AND DETAILED HANDWRITTEN SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED.
20: A 2022 Porsche 911 (992) GT3 is crossing a 20 ft bridge. The specification of the car is shown below.Determine the maximum shear (in lb) and moment (in lb-ft) on the bridge.
ANS: Vmax = 2,680.850 lb ; Mmax = 11,233.13 lb-ft
CORRECT AND DETAILED HANDWRITTEN SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED.
Answers:
P1 = 208.625 KN/M
P2 = 281.310 KN/M
P = 15.491 KN/M
FB = 463.402 MPA
FV = 55.034 MPA
CORRECT AND DETAILED HANDWRITTEN SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED.
18: Determine the maximum shear and moment that would be experienced by a 10 m beam if a three-wheelmoving load of 10 kN, 30 kN, and 5 kN respectively will pass it by. The distance between the 1st and 2nd load is 1 m and the distance between the 2nd and 3rd load is 3 m.ANS: Vmax = 40 kN ; Mmax = 100.014 kN-m
Chapter 5 Solutions
Mechanics of Materials
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 - Prob. 3PCh. 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 link acts as part of the elevator control for...Ch. 5.3 - The assembly consists of two sections of...Ch. 5.3 - A steel tube having an outer diameter of 2.5 in....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 - Prob. 20PCh. 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 - If the tube is made from a material having an...Ch. 5.3 - Prob. 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 - Prob. 35PCh. 5.4 - The 60 mm-diameter steel shaft is subjected to the...Ch. 5.4 - Prob. 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 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 - The hydrofoil boat has an A992 steel propeller...Ch. 5.4 - Also, calculate the absolute maximum shear stress...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. 5.5 - Gst = 75 GPa.Ch. 5.5 - The shaft is made of L2 tool steel, has a diameter...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. 5.7 - 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. 97PCh. 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 - Prob. 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. 114PCh. 5.7 - Prob. 115PCh. 5.7 - Prob. 119PCh. 5.10 - Prob. 121PCh. 5.10 - If the radius of the fillet weld connecting the...Ch. 5.10 - Prob. 125PCh. 5.10 - Determine the radius of the elastic core produced...Ch. 5.10 - Prob. 128PCh. 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. 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 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. 139PCh. 5.10 - Prob. 140PCh. 5.10 - Prob. 142PCh. 5.10 - Prob. 143PCh. 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...
Additional Engineering Textbook Solutions
Find more solutions based on key concepts
In the following exercises, write a program to carry out the task. The program should use variables for each of...
Introduction To Programming Using Visual Basic (11th Edition)
What is the disadvantage of having too many features in a language?
Concepts Of Programming Languages
Fill in the blanks in each of the following statements: A relation that has no partial functional dependencies ...
Modern Database Management
For the circuit shown, find (a) the voltage υ, (b) the power delivered to the circuit by the current source, an...
Electric Circuits. (11th Edition)
1. Read the problem statement. 2. Formulate the algorithm using pseudocode and top-down, stepwise refinement. 3...
Java How to Program, Early Objects (11th Edition) (Deitel: How to Program)
Name and Address The Name and Address Problem Write a GUI program that displays your name and address when a bu...
Starting Out with Python (4th Edition)
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
- CORRECT AND DETAILED HANDWRITTEN SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED. 5: A 12-m simply supported bridge is constructed with 100-mm concrete slab deck supported by precastconcrete stringers spaced 800 mm on center. Analyze the stringers when subjected to a moving load consisting of 3 evenly spaced axle loads at 3 m and equivalent to 20 kN, 30 kN and 40 kN respectively. The self-weight of the stringers is 8.5 kN/m and the concrete deck has a unit weight of 24 kN/m3 . Neglect all other superimposed loads. Calculate: (a) the maximum shear force in the stringers; (b) the maximum bending moment in the stringers. Answer: Vmax = 135.020 KN, Mmax = 477.388 KN-Marrow_forwardCORRECT AND DETAILED HANDWRITTEN SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED. 19: A 22-wheeler truck is crossing over 25 m bridge. The dimensions between the axles of the truck are shownin the figure below. Axles 1 to 3 carry a 90 kN load each, axles 4 and 5 carry a 65 kN load each, and the axle directly below the cab of the truck has a load of 100 kN. Determine the maximum shear and moment on the bridge.ANS: Vmax = 374.92 kN ; Mmax = 1,702.229 kN-marrow_forwardCORRECT AND DETAILED HANDWRITTEN SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED. 1. A H = 6 m cantilever retaining wall is subjected to a soil pressurelinearly varying from zero at the top to 90 kPa at the bottom. As an additionalsupport, it is anchored at depth y = 2 m. with maximum tension equal to 25kN. Assume that the stem provides fully retrained support. Draw the shearand moment diagram of the wall to calculate the following: (a) Maximumpositive bending moment per linear meter; (b) maximum negative bendingmoment per linear meter; (c) maximum shear force per linear meter. answer: +MMax = 440 kn-m, -Mmax = 0kn-M, Vmax = 245 KNarrow_forward
- CORRECT AND DETAILED HANDWRITTEN SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED. 17: A simply supported beam with the section shown below has an allowableflexural shearing stress of 43 MPa. (a) Determine the maximum allowable shearing force onthe section. And (b) what is the minimum thickness of plate that should be welded at theflanges if the section is to withstand a total shearing force of 200 kN. The additional plate willhave its base dimension equal to the flange dimension.ANS: V = 179.333 kN ; t = 23.181 mmarrow_forwardCORRECT AND DETAILED HANDWRITTEN SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED. Answer: A = 0.207 L(M)arrow_forwardQu 4 The 12-kg slender rod is attached to a spring, which has an unstretched length of 2 m. If the rod is released from rest when 0 = 30°, determine its angular velocity at the instant 0 = 90°. 2 m B k = 40 N/m 2 marrow_forward
- CORRECT AND DETAILED HANDWRITTEN SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED. 13: A cantilever beam is of length 1.5 m,loaded by a concentrated load P at its tip as shown inFig. 8-18(a), and is of circular cross section (R = 100 mm),having two symmetrically placed longitudinal holes asindicated. The material is titanium alloy, having anallowable working stress in bending of 600 MPa.Determine the maximum allowable value of the verticalforce P. ANS: P = 236,589.076 N = 236.589 kNarrow_forwardCORRECT AND DETAILED HANDWRITTEN SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED. 15: Consider a beam having an I-type cross section as shown in Fig. 8-45. Ashearing force V of 150 kN acts over the section. Determine the maximum and minimumvalues of the shearing stress in the vertical web of the section.ANS: fv(max) = 44.048 MPa ; fv(min) = 33.202 MPaarrow_forwardCORRECT AND DETAILED HANDWRITTEN SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED. 12: A steel cantilever beam 16 ft 8 in in length is subjected to a concentrated load of 320 lb acting at the freeend of the bar. A commercially available rolled steel section, designated as W12x32, is used for the beam. Assume that the total depth of the beam is 12 in, and the neutral axis of the section is in the middle. Determine the maximum tensile and compressive stresses. (Properties of commercially available rolled steel section provided in the table. Z = section modulus). ANS: σT = σC = 1,572.482 lb/in2arrow_forward
- CORRECT AND DETAILED HANDWRITTEN SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED. 14: Two ½-in x 8-in cover plates are welded to two channels 10 in high to formthe cross section of the beam shown in Fig. 8-59. Loads are in a vertical plane and bendingtakes place about a horizontal axis. The moment of inertia of each channel about ahorizontal axis through the centroid is 78.5 in4. If the maximum allowable elastic bendingstress is 18,000 lb/in2, determine the maximum bending moment that may be developedin the beam.ANS: 1,236,000 lb-in.arrow_forwardCORRECT AND DETAILED HANDWRITTEN SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED. 11: A beam of circular cross section is 7 in in diameter. It is simply supported at each end and loaded by twoconcentrated loads of 20,000 lb each, applied 12 in from the ends of the beam. Determine the maximum bending stressin the beam. ANS: σ = 7,127.172 lb/in2arrow_forwardusing the theorem of three moments, find all the reactions and supportsarrow_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 PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering 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