STANDALONE CODE MECHANICS OF MATERIALS-M
11th Edition
ISBN: 9780137605200
Author: HIBBELER
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 10.7, Problem 60P
A material is subjected to plane stress. Express the maximum shear stress theory of failure in terms of σx, σy, and τxy. Assume that the principal stresses are of different algebraic signs.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Solve it correctly.
1. We can visualize the factor of safety for an arbitrary stress using a surface in principal stress space. For
a ductile material that yields according to a von Mises criterion with a yield stress σy, sketch the von
Mises surface in σ₁ - 02 space and sketch the stress surface that corresponds to a factor of safety FoS =
2. For a brittle material that yields according to a max normal (Rankine) criterion with a tensile strength
Gyt and a compressive strength σvc = 20yt, sketch the yield surface and the surface that corresponds
to a factor of safety FoS = 2.
The rod has a diameter of 40 mm. It is subjected to the
force system F₁ = 1900 N, Fy = 700 N, F₂ = 900 N.
(Figure 1)
Figure
F₁
Fy
300 mm
100 N-m
F₂
100 mm
Part A
Determine the normal stress that acts at point B.
Express your answer to three significant figures and include the appropriate units. Enter negative value in the case of
compression and positive value in the case of tension.
OB=
Part B
(TB)Ty
Part C
=
μА
Determine the shear stress (TB)zy that acts at point B.
Express your answer to three significant figures and include the appropriate units.
Value
(TB) Iz =
μA
Value
Units
μA
Value
Units
Determine the shear stress (TB)zz that acts at point B.
Express your answer to three significant figures and include the appropriate units.
?
Units
?
?
Chapter 10 Solutions
STANDALONE CODE MECHANICS OF MATERIALS-M
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...
Additional Engineering Textbook Solutions
Find more solutions based on key concepts
17–1C A high-speed aircraft is cruising in still air. How does the temperature of air at the nose of the aircra...
Thermodynamics: An Engineering Approach
Compute the hydraulic radius for a circular drain pipe running half full if its inside diameter is 300 mm.
Applied Fluid Mechanics (7th Edition)
A nozzle at A discharges water with an initial velocity of 36 ft/s at an angle with the horizontal. Determine ...
Vector Mechanics for Engineers: Dynamics
What parts are included in the vehicle chassis?
Automotive Technology: Principles, Diagnosis, And Service (6th Edition) (halderman Automotive Series)
Find the change in length of side AB.
Mechanics of Materials, 7th Edition
A 20-lb force is applied to the control rod AB as shown. Knowing that the length of the rod is 9 in. and that t...
Statics and Mechanics of Materials
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
- In a plane stress condition, the components of stress at a point are sigma_{x}= 20MPa , sigma_{y} = 80MPa , Ty = 40 MPa . What is the maximum shear stress (in MPa) at the point?arrow_forwardIf the principal stresses are of opposite signs, then failure occurs in the plane. True or false?arrow_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
- For 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_forwardIn a thin plate, the state of stress prevails according to the figure. Calculate the principal stresses and their directions (using both equations and Mohr's stress circle). Show the result in a figure. σx = 40 MPa; σy = 50 ; MPa and τxy = 30 MPa The question should contain clear solutions and be presented according to the following structure: Given, to find, Solution and Answer.arrow_forwardSolve clearly and neatlyarrow_forward
- The supporting wheel on a scaffold is held in place on the leg using a 4-mm-diameter pin as shown. (Figure 1) Figure P 1 of 1 Part A If the wheel is subjected to a normal force of P = 3.3 kN, determine the average shear stress developed in the pin. Neglect friction between the inner scaffold puller leg and the tube used on the wheel. Express your answer to three significant figures and include the appropriate units. μА Tavg= 65.652 N mm² Submit Previous Answers Request Answer Provide Feedback ? X Incorrect; Try Again; 4 attempts remainingarrow_forwardSuppose that σ = 330 psi and Try = 150 psi in (Figure 1). Figure Part D Specify the orientation of the principal stress. Take the positive direction of rotation counterclockwise. Express your answer in degrees to three significant figures. Op₁= Part E OF 0₂ = ΑΣΦΙΚΗ vec Specify the orientation of the maximum in-plane shear stress. Take the positive direction of rotation counterclockwise. Express your answer in degrees to three significant figures. 0/ —| ΑΣΦ 11 | vec ? ? oarrow_forwardAt a point in the cross-section of an engineering component an element is subject to the following stresses: σx =100MPa σy =45MPa τxy = -50MPa Construct a Mohr’s Stress Circle and hence determine: (a) The Principal Stresses (σ1 & σ2) and the Directions of the Principal Planes (φ1 & φ2) (b) The Maximum Shear Stress (τmax) (c) Find the Normal Stress (σn) acting on a plane at 40 degs anticlockwise from the y-axisarrow_forward
- The three principal stresses at a given point are σ1 =60 MPa, σ2 =−100 MPa, σ3 =−10 MPa. If the material has a yield stress of 250 MPa, estimate the factor of safety against yielding using (i) the maximum shear stress theory and (ii) von Mises’ theory.arrow_forwardThe drill shown is jammed in the wall and is subjected to the torque and force shown in the diagram. Determine the normal stress (in MPa) at point A on the cross section of the drill bit at section a−a. What is the transverse shear stress (in MPa) at the same point in the drill bit? What is the torsional stress at the same point in the drill bit?arrow_forwardA rail having a coefficient of linear expansion of 11.6 x 10-⁶m/m°C increases its length when heated from 70°F to 133°F. Determine the strain. A. 2.04 x 10-⁴ B. 6.05 x 10-⁴ C. 4.06 x 10-⁴ D. 2.77 x 10-⁴ Please solve the Problem elaborately and Refer Machine Elements and Stresses Equations from the figures or use other shortcut Methods you have or you may Solve both or in more different methods the better ?. Your solution will be use as reference for my Future Board Exam preparation/review/study. Thank you so much dear your work will be appreciated much and rated excellently.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
Material Properties 101; Author: Real Engineering;https://www.youtube.com/watch?v=BHZALtqAjeM;License: Standard YouTube License, CC-BY