Mechanics of Materials (10th Edition)
10th Edition
ISBN: 9780134319650
Author: Russell C. Hibbeler
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 10.7, Problem 10.80P
If the 2-in diameter shaft is made from cast iron having tensile and compressive ultimate stress of (σult)t = 50 ksi and (σult)c = 75 ksi, respectively, determine if the shaft fails according to Mohr's failure criterion.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
The shaft assembly is made from a steel tube 1 in. in diameter,which is bonded to a solid brass core 0.5 in. in diameter. If atorque of 250 lb-ft is applied at its end, determine the maximumshear stress in psi experienced by the assembly. Take G for steelat 11.4x103 ksi and G brass at 5.2 x 103 ksi.
The cylindrical steel column has an outer diameter of 4 in. and inner diameter of 3.5 in. The column is separated
from the concrete foundation by a square bearing plate. The working compressive stress is 26 000 psi for the
column, and the working bearing stress is 1200 psi for concrete. Find the largest force P that can be applied to the
column. Express your answer in Ib.
4 in.
3.5 in.
4/4
7 in.
A line shaft rotating at 200 rpm is to transmit 20 kW. The allowable shear stress for
the material of the shaft is 42 MPa. If the shaft carries a central load of 900 N and is
simply supported between bearing 3m apart, determine the diameter of the shaft.o
The maximum tensile or compressive stress is not to exceed 56 MPa.
Chapter 10 Solutions
Mechanics of Materials (10th Edition)
Ch. 10.3 - Prove that the sum of the normal strains in...Ch. 10.3 - The state of strain at the point on the arm has...Ch. 10.3 - The state of strain at the point on the pin leaf...Ch. 10.3 - The state of strain at the point on the pin leaf...Ch. 10.3 - The state of strain at the point on the leaf of...Ch. 10.3 - Use the strain transformation equations and...Ch. 10.3 - Use the strain transformation equations and...Ch. 10.3 - Use the strain transformation equations to...Ch. 10.3 - Use the strain transformation equations to...Ch. 10.3 - Use the strain- transformation equations to...
Ch. 10.3 - Use the strain transformation equations to...Ch. 10.3 - Determine the equivalent state of strain on an...Ch. 10.3 - Determine the equivalent state of strain which...Ch. 10.3 - Use the strain transformation equations to...Ch. 10.3 - Determine the equivalent state of strain, which...Ch. 10.3 - Solve Prob.103 using Mohrs circle. 103. The state...Ch. 10.3 - using Mohrs circle. 103. The state of strain at...Ch. 10.3 - Solve Prob.105 using Mohrs circle. 105. The state...Ch. 10.3 - Solve Prob.108 using Mohrs circle 108. The state...Ch. 10.3 - using Mohrs circle. 106. The state of strain at a...Ch. 10.5 - The strain at point A on the bracket has...Ch. 10.5 - Determine (a) the principal strains at A, (b) the...Ch. 10.5 - Determine (a) the principal strains at A, in the...Ch. 10.5 - The following readings are obtained for each gage:...Ch. 10.5 - The following readings are obtained for each gage:...Ch. 10.5 - The following readings are obtained for each gage:...Ch. 10.5 - The following readings are obtained from each...Ch. 10.6 - For the case of plane stress, show that Hookes law...Ch. 10.6 - to develop the strain tranformation equations....Ch. 10.6 - Determine the modulus of elasticity and Polssons...Ch. 10.6 - If it is subjected to an axial load of 15 N such...Ch. 10.6 - If it has the original dimensions shown, determine...Ch. 10.6 - If it has the original dimensions shown, determine...Ch. 10.6 - A strain gage having a length of 20 mm Is attached...Ch. 10.6 - Determine the bulk modulus for each of the...Ch. 10.6 - The strain gage is placed on the surface of the...Ch. 10.6 - Determine the associated principal stresses at the...Ch. 10.6 - Determine the applied load P. What is the shear...Ch. 10.6 - If a load of P = 3 kip is applied to the A-36...Ch. 10.6 - The cube of aluminum is subjected to the three...Ch. 10.6 - The principal strains at a point on the aluminum...Ch. 10.6 - A uniform edge load of 500 lb/in. and 350 lb/in....Ch. 10.6 - Prob. 10.45PCh. 10.6 - A single strain gage, placed in the vertical plane...Ch. 10.6 - A single strain gage, placed in the vertical plane...Ch. 10.6 - If the material is graphite for which Eg = 800 ksi...Ch. 10.6 - Determine the normal stresses x and y in the plate...Ch. 10.6 - The steel shaft has a radius of 15 mm. Determine...Ch. 10.6 - Prob. 10.51PCh. 10.6 - The A-36 steel pipe is subjected to the axial...Ch. 10.6 - Air is pumped into the steel thin-walled pressure...Ch. 10.6 - Air is pumped into the steel thin-walled pressure...Ch. 10.6 - Prob. 10.55PCh. 10.6 - The thin-walled cylindrical pressure vessel of...Ch. 10.6 - The thin-walled cylindrical pressure vessel of...Ch. 10.6 - Prob. 10.58PCh. 10.7 - A material is subjected to plane stress. Express...Ch. 10.7 - A material is subjected to plane stress. Express...Ch. 10.7 - The yield stress for a zirconium-magnesium alloy...Ch. 10.7 - Solve Prob. 1061 using the maximum distortion...Ch. 10.7 - If a machine part is made of tool L2 steel and a...Ch. 10.7 - Solve Prob.1063 using the maximum distortion...Ch. 10.7 - Prob. 10.65PCh. 10.7 - If a shaft is made of a material for which y = 75...Ch. 10.7 - Solve Prob.1066 using the maximum shear stress...Ch. 10.7 - If the material is machine steel having a yield...Ch. 10.7 - The short concrete cylinder having a diameter of...Ch. 10.7 - Prob. 10.70PCh. 10.7 - The plate is made of Tobin bronze, which yields at...Ch. 10.7 - The plate is made of Tobin bronze, which yields at...Ch. 10.7 - An aluminum alloy is to be used for a solid drive...Ch. 10.7 - If a machine part is made of titanium (TI-6A1-4V)...Ch. 10.7 - The components of plane stress at a critical point...Ch. 10.7 - The components of plane stress at a critical point...Ch. 10.7 - The 304-stainless-steel cylinder has an inner...Ch. 10.7 - The 304-stainless-steel cylinder has an inner...Ch. 10.7 - If the 2-in diameter shaft is made from brittle...Ch. 10.7 - If the 2-in diameter shaft is made from cast iron...Ch. 10.7 - If Y = 50 ksi, determine the factor of safety for...Ch. 10.7 - Prob. 10.82PCh. 10.7 - If the yield stress for steel is Y = 36 ksi,...Ch. 10.7 - Prob. 10.84PCh. 10.7 - The state of stress acting at a critical point on...Ch. 10.7 - The shaft consists of a solid segment AB and a...Ch. 10.7 - The shaft consists of a solid segment AB and a...Ch. 10.7 - Prob. 10.88PCh. 10.7 - If Y = 50 ksi, determine the factor of safety for...Ch. 10.7 - The gas tank is made from A-36 steel and has an...Ch. 10.7 - The internal loadings at a critical section along...Ch. 10.7 - If the material is machine steel having a yield...Ch. 10.7 - If the material is machine steel having a yield...Ch. 10 - In the case of plane stress, where the in-plane...Ch. 10 - The plate is made of material having a modulus of...Ch. 10 - If the material is machine steel having a yield...Ch. 10 - Determine if yielding has occurred on the basis of...Ch. 10 - The 60 strain rosette is mounted on a beam. The...Ch. 10 - Use the strain transformation equations to...Ch. 10 - If the strain gages a and b at points give...Ch. 10 - Use the strain-transformation equations and...Ch. 10 - Use the strain transformation equations to...Ch. 10 - Specify the orientation of the corresponding...
Additional Engineering Textbook Solutions
Find more solutions based on key concepts
How is the hydrodynamic entry length defined for flow in a pipe? Is the entry length longer in laminar or turbu...
Fluid Mechanics Fundamentals And Applications
What types of polymers are most commonly blow molded?
DeGarmo's Materials and Processes in Manufacturing
A number of common substances are
Some of these materials exhibit characteristics of both solid and fluid beha...
Fox and McDonald's Introduction to Fluid Mechanics
CONCEPT QUESTIONS
15.CQ3 The ball rolls without slipping on the fixed surface as shown. What is the direction ...
Vector Mechanics for Engineers: Statics and Dynamics
What is the weight in newtons of an object that has a mass of (a) 8 kg, (b) 0.04 kg, (c) 760 Mg?
Statics and Mechanics of Materials (5th Edition)
What is the importance of modeling in engineering? How are the mathematical models for engineering processes pr...
Heat and Mass Transfer: Fundamentals and Applications
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 shaft assembly is made from a steel tube 1 in. in diameter, which is bonded to a solid brass core 0.5 in. in diameter. If a torque of 250 lb-ft is applied at its end, determine the maximum shear stress in psi experienced by the assembly. Take G for steel at 11.4x103 ksi and G brass at 5.2 x 103 ksi. complete soln.arrow_forward1. The 12 kN m torque is applied to the free end of the 6-m steel shaft. The angle of rotation of the shaft is to be limited to 3°. (a) Find the diameter d of the smallest shaft that can be used. (b) What will be the maximum shear stress in the shaft? Use G = 83 GPa for steel. 2. The compound shaft is attached to a rigid wall at each end. For the bronze segment AB, the diameter is 75 mm and G = 35 GPa. For the steel segment BC, the diameter is 50 mm and G = 83 GPa. Given that a = 2 m and b = 1.5 m, compute the largest torque T that can be applied as shown in the figure if the maximum shear stress is limited to 60 MPa in the bronze and 80 MPa in the steel. 75 mm 50 mm A Bronze B Steelarrow_forwardIf the 2-in.-diameter shaft is made from brittle material having an ultimate stress of sult = 50 ksi, for both tension and compression, determine if the shaft fails according to the maximum normal stress theory. Use a factor of safety of 1.5 against rupture.arrow_forward
- two 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_forwardThe steel step shaft has an allowable shear stress of Fallow 9 MPa. If the transition between the cross-sections has a radius r-4 mm, determine the maximum torque T that can be applied. Take K-1.25. 20 mm 72 N.m T 50 mm 20 mm 7/2 The maximum torque T that can be applied is. Note: Please enter your answer with three significant digits after the decimal point. Take the torque as positive since the problem does not have multiple sections before the step.arrow_forwardDetermine the required diameter (in inches) of rod AC if the allowable normal stress is 24.95 ksi and P = 12.61 kips.arrow_forward
- The shaft consists of three concentric tubes, each made from the same material and having inner and outer radii as given below. Length of shaft is 2m. One end is fixed to the wall and to the other end a disc is attached. If a torque of T =800 N.m is applied at the disc end, determine the maximum shear stress in the shaft. 1. Inner tube: r; = 20mm, r, = 25 mm 2. Center tube: r; = 26 mm, r. = 30 mm 3. Outer tube: r = 32mm, r, = 38mmarrow_forwardThe composite shaft consists of a mid-section that includes the 1-in. diameter solid shaft and a tube that is welded to the rigid flanges at A and B. Neglect the thickness of the flanges. The shaft is subjected to a torque of T=950 lb-ft. The material is A-38 steel, G = 11 x 10³ ksi- (Eigure 1) T 1 in. 3 in. 0.25 in. 0.75 ft. B 0.5 ft Determine the angle of twist of end C of the shaft relative to end D.arrow_forwardpleasearrow_forward
- 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•ftarrow_forwardThe 6061-T6 aluminum solid shaft is subjected to the loading shown. (a) Determine the maximum shear stress in the A shaft. (b) The aluminum has a yield strength of 131 MPa. Determine the factor of safety of the shaft for yielding due to the loading. 160 mm 35 kN-m 1 m 100 mm 100 KN•M 1.5 m 50 mm 20 kN-m 2 m 0.5 m 5 kN-marrow_forward4- A hollow tubular shaft is 1.5 m long and has an outer diameter of 75-mm. The shaft transmits the power of 30 kW from the motor E to the generator G when it rotates at 500 rpm. Determine the smallest thickness of the tube if the allowable shear stress is 123 MPa. Earrow_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
Everything About COMBINED LOADING in 10 Minutes! Mechanics of Materials; Author: Less Boring Lectures;https://www.youtube.com/watch?v=N-PlI900hSg;License: Standard youtube license