Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)
10th Edition
ISBN: 9780073398204
Author: Richard G Budynas, Keith J Nisbett
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 5, Problem 24P
For an ASTM 30 cast iron, (a) find the factors of safety using the BCM and MM theories, (b) plot the failure diagrams in the σA, σB plane to scale and locate the coordinates of the stress state, and (c) estimate the factors of safety from the two theories by graphical measurements along the load line.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
For a number of points during a tension test on Man-Ten steel, engineering stress and strain data are given in Table. Also given are minimum diameters measured in the necked region in the latter portions of the test. The initial diameter was 6.32 mm. (a) Determine the Young’s modulus; (b) Determine the true stress and strain throughout; (c) Calculate the true plastic strain for the beyond yielding.
O The bars, shown in sketches (a) and (b), are made from cold-drawn, AISI 1050 QT at 425 °C
medium carbon steel. For each of the bars determine
The maximum static tensile load (P) causing fracture,
• The maximum alternating (completely reversing) axial load ±P that would be just on the verge of
producing eventual fatigue failure.
When the load varies from 10 kN to 40 kN. Determine the safety factor for each bar using the
Modified Goodman relationship.
r= 2.5 mm
25 mm
25 mm
30 mm
25 mm
25 mm
r D2.5 mm
Figure 5 shows a failure assessment diagram (FAD) from the R6 calculator
spreadsheet.
(a) Make a copy sketch of the FAD in Figure 5, and indicate the regions of
brittle fracture and plastic collapse.
(2 mark
(b) Using Figure 5, calculate the reserve factor on load. Explain how you
obtained your answer.
(4 mark.
(c) Indicate on your sketch the effect on the FAD if:
(i)
a residual stress were present in the vicinity of the crack
(ii) the crack length were increased
(iii) the toughness of the material were improved.
(3 + 3 + 3 = 9 marks
Plate in tension - through-thickness edge
crack
1.2
08-
0 76. 0 81
*06-
20 46. 0 48
04-
02-
0O
02
04
0.6
0.8
10
1.2
1.4
1.6
L,
Figure 5 FAD for Question 6
Chapter 5 Solutions
Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)
Ch. 5 - A ductile hot-rolled steel bar has a minimum yield...Ch. 5 - A ductile hot-rolled steel bar has a minimum yield...Ch. 5 - A ductile hot-rolled steel bar has a minimum yield...Ch. 5 - A ductile hot-rolled steel bar has a minimum yield...Ch. 5 - A ductile hot-rolled steel bar has a minimum yield...Ch. 5 - Prob. 6PCh. 5 - 5-7 to 5-11 An AISI 1018 steel has a yield...Ch. 5 - 5-7 to 5-11 An AISI 1018 steel has a yield...Ch. 5 - 5-7 to 5-11 An AISI 1018 steel has a yield...Ch. 5 - 5-7 to 5-11 An AISI 1018 steel has a yield...
Ch. 5 - 5-7 to 5-11 An AISI 1018 steel has a yield...Ch. 5 - A ductile material has the properties Syt = 60...Ch. 5 - Prob. 13PCh. 5 - Prob. 14PCh. 5 - Prob. 15PCh. 5 - 5-14 to 5-18 An AISI 4142 steel QT at 800F...Ch. 5 - 5-14 to 5-18 An AISI 4142 steel QT at 800F...Ch. 5 - 5-14 to 5-18 An AISI 4142 steel QT at 800F...Ch. 5 - A brittle material has the properties Sut = 30...Ch. 5 - Repeat Prob. 519 by first plotting the failure...Ch. 5 - For an ASTM 30 cast iron, (a) find the factors of...Ch. 5 - For an ASTM 30 cast iron, (a) find the factors of...Ch. 5 - Prob. 23PCh. 5 - For an ASTM 30 cast iron, (a) find the factors of...Ch. 5 - 5-21 to 5-25 For an ASTM 30 cast iron, (a) find...Ch. 5 - 5-26 to 5-30 A cast aluminum 195-T6 exhibits Sut =...Ch. 5 - 5-26 to 5-30 A cast aluminum 195-T6 exhibits Sut =...Ch. 5 - 5-26 to 5-30 A cast aluminum 195-T6 exhibits Sut =...Ch. 5 - 5-26 to 5-30 A cast aluminum 195-T6 exhibits Sut =...Ch. 5 - 5-26 to 5-30 A cast aluminum 195-T6 exhibits Sut =...Ch. 5 - 5-31 to 5-35 Repeat Probs. 526 to 530 using the...Ch. 5 - 5-31 to 5-35 Repeat Probs. 526 to 530 using the...Ch. 5 - Repeat Probs. 526 to 530 using the modified-Mohr...Ch. 5 - Repeat Probs. 526 to 530 using the modified-Mohr...Ch. 5 - Repeat Probs. 526 to 530 using the modified-Mohr...Ch. 5 - This problem illustrates that the factor of safety...Ch. 5 - For the beam in Prob. 344, p. 147, determine the...Ch. 5 - A 1020 CD steel shaft is to transmit 20 hp while...Ch. 5 - For the problem specified in the table, build upon...Ch. 5 - For the problem specified in the table, build upon...Ch. 5 - 5-39 to 5-55 For the problem specified in the...Ch. 5 - Prob. 42PCh. 5 - For the problem specified in the table, build upon...Ch. 5 - For the problem specified in the table, build upon...Ch. 5 - Prob. 45PCh. 5 - 5-39 to 5-55 For the problem specified in the...Ch. 5 - Prob. 47PCh. 5 - For the problem specified in the table, build upon...Ch. 5 - For the problem specified in the table, build upon...Ch. 5 - For the problem specified in the table, build upon...Ch. 5 - For the problem specified in the table, build upon...Ch. 5 - 5-39 to 5-55 For the problem specified in the...Ch. 5 - 5-39 to 5-55 For the problem specified in the...Ch. 5 - For the problem specified in the table, build upon...Ch. 5 - For the problem specified in the table, build upon...Ch. 5 - Build upon the results of Probs. 384 and 387 to...Ch. 5 - Using F = 416 lbf, design the lever arm CD of Fig....Ch. 5 - A spherical pressure vessel is formed of 16-gauge...Ch. 5 - This problem illustrates that the strength of a...Ch. 5 - Prob. 60PCh. 5 - A cold-drawn AISI 1015 steel tube is 300 mm OD by...Ch. 5 - Prob. 62PCh. 5 - The figure shows a shaft mounted in bearings at A...Ch. 5 - By modern standards, the shaft design of Prob. 563...Ch. 5 - Build upon the results of Prob. 340, p. 146, to...Ch. 5 - For the clevis pin of Prob. 340, p. 146, redesign...Ch. 5 - A split-ring clamp-type shaft collar is shown in...Ch. 5 - Prob. 68PCh. 5 - Prob. 69PCh. 5 - Prob. 70PCh. 5 - Two steel tubes have the specifications: Inner...Ch. 5 - Repeal Prob. 5-71 for maximum shrink-fit...Ch. 5 - Prob. 73PCh. 5 - Two steel lubes are shrink-filled together where...Ch. 5 - Prob. 75PCh. 5 - Prob. 76PCh. 5 - Prob. 77PCh. 5 - Prob. 78PCh. 5 - Prob. 79PCh. 5 - Prob. 80PCh. 5 - Prob. 81PCh. 5 - For Eqs. (5-36) show that the principal stresses...Ch. 5 - Prob. 83PCh. 5 - A plate 100 mm wide, 200 mm long, and 12 mm thick...Ch. 5 - A cylinder subjected to internal pressure pi has...
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
- Tensile and fully reversed loading fatigue tests were conducted for a certain steel alloy and revealed the tensile strength and endurance limit to be 1200 and 550 MPa, respectively. If a rod of this material supply were subjected to a static stress of 600 MPa and oscillating stresses whose total range was 700 MPa, would you expect the rod to fail by fatigue processes? Hint: You may want to plot a diagram to aid in presenting your answer.arrow_forwardCalculate a diameter, d, to ensure that yield does not occur in the 1045 carbon steel (Yield stress = 310 MPa) under 220kN tensile load. Use a factor of safety of 5.arrow_forwardA fatigue test was conducted in which the mean stress was 70 MPa and the stress amplitude was 210 MPa. Compute the following (a) The maximum and minimum stress levels. (b) Strss ratio, (c) Stress rangearrow_forward
- 1. A part made of Aluminum 6061-T6 has a yield strength = 400 MPa. For each stress state below, draw all 3 Mohr's circles, find the principal stresses, and calculate the safety factor against yield using both the distortion-energy (von Mises) and maximum shear stress (Tresca) criterions. (If relevant) A clearly labeled diagram (or diagrams) clearly pertaining to your analysis with a coordinate system and relevant labels. Final answer with appropriate units and significant figures. You can use the fprintf() command in MATLAB to format numerical results A 2-3 sentence reflection on your answer. Does it make sense? Why or why not? What are some implications?arrow_forwardyields under a load of 8KN; it attains a max load of 15KN and breaks finally A tensile test is carried out on a bar of mild steel of diameter 20mm. The bar Еxample at a load of 7KN. Estimate yP (i) The tensile stress at the yield point (ii) The ultimate tensile test ii. Max loa (iii) The average stress at the breaking point if the diameter of neck is Omm.arrow_forwardAn application requires ultimate tensile strength and yield strength ofa steel at 110 ksi and 91 ksi, respectively. Answer the following 4 questions:4.1. Can SAE 1040 steel be selected for this application?4.2. If “no” is the answer in Part I, the following Part II, III, and IV can beignored. If “yes” is the answer in Part I, which condition of SAE 1040 shouldbe selected?4.3. Why is that steel with the condition in part II selected?4.4. Is the selected steel brittle or ductile? and Why?arrow_forward
- 1. An AISI 1018 steel has a yield strength, Sy = 295 MPa. Using the distortion energy theory for the plane stress state ox = -30 MPs, Oy = -65 MPa, and Txy = 40 MPa. 1) Determine the factor of safety. 2) Plot the safety envelope of the material. 3) Plot the load line. 4) Estimate the factor of safety by graphical method (refer to 4-1 Ductile Failure I, P10).arrow_forwardDetermine the strength of the bedrock granite. Assume you sampled the granite where it was exposed at the surface and ran a series of 4 triaxial compression tests (results given below). Determine the Coloumb coefficient (or friction angle) and the cohesion of the rock given these test results. Either use graph paper to draw Mohr’s circles and a failure envelope to help you determine these values or use the computer to make a plot. Show all your work for credit! Test Confining pressure Axial load at failure 1 4.5 MPa 35.5 MPa 2 9 MPa 50 MPa 3 17 MPa 73 MPa…arrow_forwardSolve this problem in theory of failure A 60mm diameter bar has been machined from 1050 hot rolled steel at 600C. The bar will besubjected to a fluctuating tensile load varying from 100 to 500kN. Calculate the fatigue factor of safetyaccording to the Modified Goodman fatigue criterion, ASME elliptical, Soderberg and Gerber FatigueCriterion use Sut=620 MPa and Sy=570 Mpa. Indicate assumptions made.arrow_forward
- a)Draw the stress-strain curve of a ductile material such as that of a ductile steel and discuss the various regions of the curve. Explain the difference between a ductile and brittle material and the concept of ductility and its measurement. b)A machine part 10 mm thick, having the dimensions shown in the figure, is to be subjected to cyclic loading. If the maximum stress is limited to 60 MPa, determine the allowable force P. Approximate the stress concentration factors form the graph given. Where might a potential fracture occur?arrow_forwardThe engineering stress-engineering strain tensile curve for a stainless steel type 304 alloy is shown. Calculate the constants K and n for the true stress and true strain curve before necking (or = K (&)"). Engineering Stress (MPa) 1000 900- 800- 700- 600- 500- 400- 300- 200- 100- of 0.0 02 0.4 Enginering Strain (mm/mm) 0.6 0.8 1.0arrow_forwardDetermine the factor of safety for fatigue at million cycles (2 decimal places) if a steel part experiences Omax 95 MPa, Omin -30 MPa, Tmax 50 MPa, and Tmin -5 MPa. Sut = 435 MPa and Se 125 MPa. Your Answer: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
Stresses Due to Fluctuating Loads Introduction - Design Against Fluctuating Loads - Machine Design 1; Author: Ekeeda;https://www.youtube.com/watch?v=3FBmQXfP_eE;License: Standard Youtube License