Mechanics of Materials
11th Edition
ISBN: 9780137605460
Author: Russell C. Hibbeler
Publisher: Pearson Education (US)
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 10.7, Problem 81P
If σY = 50 ksi, determine the factor of safety for this loading against yielding based on (a) the maximum shear stress theory and (b) the maximum distortion energy theory.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Q1: A ductile bar of aluminum 1010 alloy.
Using the distortion-energy and maximum-
shear-stress theories determine the factors
of safety for the following plane stress
states:
(α) σχ
= 180 MPa, σy = 100 MPa
(b) σx = 180 MPa, Txy =
(c) σx = -160 MPa, Txy
= 150 MPa
(d) Txy
100 MPa
= 100 MPa
Q1: A ductile bar of aluminum 1010 alloy.
Using the distortion-energy and maximum-
shear-stress theories determine the factors
of safety for the following plane stress
states:
(a) σx = 180 MPa, σy = 100 MPa
(b) σx = 180 MPa, Txy = 100 MPa
(c) σx = -160 MPa, Txy = 100 MPa
= 150 MPa
(d) Txy
Determine the factor of safety as per tresca's max shear stress theory
Chapter 10 Solutions
Mechanics of Materials
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 leaf of...Ch. 10.3 - Use the strain transformation equations and...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. 10.5 - The strain at point A on the bracket has...
Ch. 10.5 - Determine (a) the principal strains at A, (b) the...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 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. 10.7 - A material is subjected to plane stress. Express...Ch. 10.7 - A material is subjected to plane stress. Express...Ch. 10.7 - Solve Prob. 1061 using the maximum distortion...Ch. 10.7 - Solve Prob.1063 using the maximum distortion...Ch. 10.7 - Prob. 70PCh. 10.7 - The plate is made of Tobin bronze, which yields at...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 - If Y = 50 ksi, determine the factor of safety for...Ch. 10.7 - Prob. 82PCh. 10.7 - If the yield stress for steel is Y = 36 ksi,...Ch. 10.7 - Prob. 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 - 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...
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
- A loading condition is shown below. The wires at point A and D both made from a steel with the yield strength (Sy) of 190 MPa with 2 mm diameter. Using either maximum shear stress theory or distortion energy theory, determine the maximum load P that can be applied before yielding happens in the wires.arrow_forwardDetermine the diameter of a circular rod made of ductile material with a fatigue strength (complete stress reversal) σe = 280 MPa and a tensile yield strength of 350 MPa. The member is subjected to a varying axial load from 700 kN to – 300 kN. Assume Kt = 1.8 and F.S. = 2.arrow_forwardA thin-walled cylinder of diameter 40 mm is subjected to an internal pressure of 5 N/mm² and a torque of 100 Nm. If the material of the cylinder has a yield stress in simple tension of 150 N/mm determine the required wall thickness using the Tresca and von Mises theories of elastic failure. Ans. 0.81 mm (Tresca), 0.74 mm (von Mises).arrow_forward
- Mechanics Of Material Iarrow_forwardA steel rod of diameter D = 50 mm has a tensile yield strength of 345 MPa supports an axial load P = 50 kN and a vertical load R = 2 kN acting at the end of an 0.8 m long arm. Calculate the strength factor of safety using (a) the maximum normal stress theory, (b) the maximum shear stress theory and (c) the distortion energy theory.arrow_forwardPlease full solution with the drawing. Big and clear handwritingarrow_forward
- Solve clearly and neatlyarrow_forwardProblem 2: The state of stress for a machine element is shown below. Using the Maximum Shear Stress Theory, determine the minimum required yield strength of the part. 10 ksi 4 ksi 8 ksiarrow_forwardAn ASTM cast iron has minimum ultimate strengths of 32 kpsi in tension and 95 kpsi in compression. Find the factors of safety using Coulomb Fragile Mohr (CMF) and Modified Mohr (MM) theories for the following stress state. σx = −3 kpsi, σy = −9 kpsi, τx y = −4 kpsiarrow_forward
- What is the true answerarrow_forwardA machine component made of a ductile material is subjected to a variable loading with 50 MPa and omax 50 MPa. If the Omin = corrected endurance limit and the yield strength for the material are o o, = 300 MPa, respectively, the factor of safety %3D 100 MPa and %3D e isarrow_forwardBar of steel, (yield strenght Sy = 484 MPa) is subjected to the following stresses; σx = 176 MPa , σy = 116 MPa , τxy = 226 MPa Using the Maximum Shear Stress Theory (MSS) determine the factor of safety and check is the bar will fail or not.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 Failure Theories (Tresca, von Mises etc...); Author: The Efficient Engineer;https://www.youtube.com/watch?v=xkbQnBAOFEg;License: Standard youtube license