STANDALONE CODE MECHANICS OF MATERIALS-M
11th Edition
ISBN: 9780137605200
Author: HIBBELER
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 10, Problem 3RP
If the material is machine steel having a yield stress of σY = 500 MPa, determine the factor of safety with respect to yielding if the maximum shear stress theory is considered.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A 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).
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
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
For the beam loading of Figure P334, draw the complete shearing force and bending moment diagrams, and determin...
Machine Elements in Mechanical Design (6th Edition) (What's New in Trades & Technology)
6–1C A mechanic claims to have developed a car engine that runs on water instead of gasoline. What is your resp...
Thermodynamics: An Engineering Approach
What types of coolant are used in vehicles?
Automotive Technology: Principles, Diagnosis, and Service (5th Edition)
5.1 through 5.9
Locate the centroid of the plane area shown.
Fig. P5.1
Vector Mechanics for Engineers: Statics and Dynamics
Convert the following quantities from English to SI units: a. 98 Btu/(hr-ft-F) b. 0.24 Btu/(lbm-F) C. 0.04 Ibm/...
Heating Ventilating and Air Conditioning: Analysis and Design
Determine the velocity of block D if end A of the rope is pulled down with a speed of vA = 3 m/s.
Engineering Mechanics: Dynamics (14th 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
- 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_forwardThe Mohr's circle for a plane stress for a point in a body is shown. The design is to be on the basis of the maximum shear stress theory of yielding. Then, yielding will just begin of the designer chooses a ductile material whose yield strength is AL σ (+) -10 ✓ T (+) -100arrow_forwardThe steel propeller shaft ABCD carries the axial loads shown in the figure. Determine the change in the length of the shaft caused by these loads. Use E = 29x10° psi for steel. 0.75 in. 6000 lb 0.75 in. 0.5 in. 2000 lb 4000 lb B| C D 5 ft- 4 ft 4 ft – a. Identify the type of deformation in each segment in the problem. b. Set up the equations of deformation that is required to solve the problem. c. Solve for the unknown variables using the equations derived previously.arrow_forward
- A steel rod is to withstand a pull of 10,000 pounds. If the ultimate stress is 50,000 psi and yield stress of 35,000 psi with a factor of safety of 4 and 2 based on ultimate and yield respectively, determine the required diameter of the rod.arrow_forwardLet's consider a rod having a solid circular cross-section with diameter of 6 mm and it is made of a material having a Young's modulus E = 200 Gpa and a Poisson's ratio of 0.3. If a tensile force Fis subjected to that rod cross-section, the diameter becomes 5.998 mm. determine the applied force F. Select one: O F=15708 N O F= 5236 N O F= 6283 N O F=4189 N O F= 10472 N O F= 13090N Clear my choice Finish attempt. IOUS ACTIVITY 360 Test - Spring 2020-2021 Jump to. 11:21 PM 4) G ENG 4/15/2021 LEGO ort sc delete end home backspace num lock 7V home enter 4E K pause Marrow_forwardTwo bolts are used to lap joints two steel plates. The tensile force on the plate is 40 kN. Determine the required diameter of the bolts if the failure shear stress of the bolts is 350 MPa. Use a factor of safety for shear equal to 2.5.arrow_forward
- A machine element is subjected to the following bi-axial state of stress; sigma x = 80 MPa; sigma y = 20 MPa; Txy=40 MPa. If the shear strength of the materials is 100 MPa, find the factor of safety as per Tresca's maximum shear stress theory.arrow_forwardN = 400 N T= 1.8 N-m In order to drill an 8mm hole into a block of steel, a Normal Load of 400N and Torque of 1.8 N-m must be applied to a drill bit. The drill bit H D = 8mm has a diameter of 8mm and is a solid cylinder at point H. Write the stress state for the element H pictured in the diagram.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
- A steel wire is 10 meters long, hanging vertically supports a tensile load of 2000 N. Determine the safe diameter if the stress is not to exceed 140 MPa and the total deformation is limited to 5 mm. Use E = 200 GPa.arrow_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_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_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