Mechanics of Materials
11th Edition
ISBN: 9780137605460
Author: Russell C. Hibbeler
Publisher: Pearson Education (US)
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 10.7, Problem 64P
Solve Prob.10−63 using the maximum distortion energy theory.
10−63. If a machine part is made of tool L2 steel and a critical point in the material is subjected to in-plane principal stresses σ1 and σ2= −0.5 σ1, determine the magnitude of σ1 in ksi that will cause yielding according to the maximum shear stress theory.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
The yield stress for a zirconium-magnesium alloy is sY = 15.3 ksi. If a machine part is made of this material and a critical point in the material is subjected to in-plane principal stresses s1 and s2 = -0.5s1, determine the magnitude of s1 that will cause yielding according to the maximum shear stress theory.
A ductile hot-rolled steel bar has a minimum yield strength in tension and compression of 350 MPa. Using the distortion-
energy and maximum-shear-stress theories, determine the factors of safety with the following principal stresses.
σA = 90 MPa, and oß = -98 MPa
The factor of safety from the maximum-shear-stress theory is
"
and the factor of safety from the distortion-energy theory is
The 304-stainless-steel cylinder has an inner diameter of 4 in. and a wall thickness of 0.1 in.
O
Part A
If it is subjected to an internal pressure of p = 80 psi, axial load of F= 430 lb, and a torque of T = 100 lb-ft, determine if yielding occurs according to the maximum shear stress theory.
O Failure occurs
O Failure does not occur
Submit
Request Answer
Provide Feedback
F
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 pipe has an outer radius of 2in and an inner radius of 1.7 in, it is subjected to the forces shown. Determine the state of stress for the most critical section and point, then find the factor of safety based on the distortion energy. Sy 180 kpsi. 150 lb 20 lb-ft 20 lb-ft 150 lb.arrow_forward123.41 MPa 173.41 MPa 156.16 MPa 173.41 MPa -123.41 MPa -256.16 MPa 2.22 1.68 1.94 1.94 1.68 2.22arrow_forward= Problem 8. The assembly has the diameters and material make-up indicated. If it fits securely between its fixed supports when the temperature is T₁ 70°F, determine the average normal stress in each material when the temperature reaches T₂ = 110°F. Also determine the longitudinal displacement of B and C after deformation. A 2014-T6 Aluminum 12 in. 4 ft B C 86100 Bronze 8 in. 6 ft 304 Stainless steel C 4 in. 3 ft Darrow_forward
- If a critical point at structural element is subjected to the stress shown on the 2D element, determine the factor of safety (FS) against yielding according to the maximum energy of distortion theory. The material has a tensile yielding stress Sy = 500 Mpa. 100 Mpa 80 Mpa 150 Mpaarrow_forwardбх бу 0 Txy στ Txy Oy In the diagram above, σ = 100 MPa, σ₁ = −27 MPa,, and Try = 40 MPa. Let each rotated plane within the stress cube be labelled by the angle that it makes relative to the original & plane. For this stress state, there is a set of planes which are in compression (σ < 0), and the corresponding values satisfy min < 0 < 0 max. If 0 is normalized to fall on [0°, 360°), what are the values of 0 min and @max ? Omin Өтах оarrow_forwardBar of steel, (yield strenght Sy = 469 MPa) is subjected to the following stresses; σx = 218 MPa , σy = -158 MPa , τxy = 138 MPa Using the Distortion-Energy Theory determine the factor of safety and check is the bar will fail or not.arrow_forward
- If the material is machine steel having a yield stress of sY = 750 MPa, determine the factor of safety with respect to yielding if the maximum shear stress theory is considered.arrow_forwardIf a critical point at structural element is subjected to the stress shown on the 2D element, determine the factor of safety (FS) against rupture according to the maximum principal stress theory. The material has an ultimate tensile stress Sult = 500Mpa. 100 Mpa 80 Mpa 150 Mpa Select one: ES = 3.6arrow_forwardFor a steel rod with a circular cross section with a diameter of D = 20 mm, the following is required: 1. Draw a diagram of the longitudinal force 2. Draw a diagram of normal stresses 3. Determine the total elongation of the rod if Е = 2∙10^5 MPa When calculating, take: а = 2 m, b =1.2 m, F=10 кN - The point of application of force! The work must be done on one sheet of A4 paper, which must show: - Using the method of sections to determine the longitudinal forces in the rod. - Draw a diagram of longitudinal forces N - Determination of normal stresses based on the constructed plot of longitudinal forces. - Draw diagram a normal stresses - Determination of the full extension of the rodarrow_forward
- A thick-walled cylindrical pressure vessel with an inside diameter of 280 mm and an outside diameter of 430 mm is made of a steel that has a yield strength of 420 MPa. Determine the maximum internal pressure that may be applied to the vessel if a factor of safety of 3.3 with respect to failure by yielding is required. Part 1 Determine the maximum allowable tensile stress in the vessel wall. Answer: Oallow i MPaarrow_forwardIf a machine part is made of tool L2 steel and a critical point in the material is subjected to in-plane principal stresses s1 and s2 = -0.5s1, determine the magnitude of s1 in ksi that will cause yielding according to the maximum shear stress theory.arrow_forwardThe state of plane stress at a critical point in a steel machine bracket is shown. If the yield stress for steel is sY = 36 ksi, determine if yielding occurs using the maximum distortion energy theory.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 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
Understanding Failure Theories (Tresca, von Mises etc...); Author: The Efficient Engineer;https://www.youtube.com/watch?v=xkbQnBAOFEg;License: Standard youtube license