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 65P
Build upon the results of Prob. 3–40, p. 146, to determine the factor of safety for yielding based on the distortion-energy theory for each of the simplified models in parts c, d, and e of the figure for Prob. 3–40. The pin is machined from AISI 1018 hot-rolled steel. Compare the three models from a designer’s perspective in terms of accuracy, safety, and modeling time.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
The plate of the figure is subjected to a bending moment with irregular cycles, which are
repeated. In the graphic one of this cycles is represented in terms of stress which appears in
each section whose height is h. The piece is made of ductile steel. Determine the number
of repetitions of the sequence which the piece can resist before the failure takes place due
to fatigue considering a reliability of 95 %.
Data: Sult = 1.000 MPa
Syp 3D800 Mра
thickness e = 4 mm
H = 10 cm
h = 5 cm
r=1 cm
ka = 0,72
kp = 0,95
S(MPa)
M
400
h
300
200
100
W
-100
-200
The shaft shown in the figure below and rotating at a speed of 1 radian / sec transmits 9 kW of power
from the gear at the B point to the pulley at the D point. Manufactured from cold drawn AISI 1040
steel, the shaft is machined to the given dimensions and bedded from A and C points. The highest
working temperature of the spindle is 50 ° C.
At point D; Since (d2 / d3 = 1.1) and (r /d = 0.1), determine the diameter d3 of the shaft using
Goodman's theory. (kb = kc = kf = 1, q = 0.8 and qs = 0.9)
200 mm
140 mm
60 mm
F1= 5F
Fa
Kasnak
160
Ry
F2 = F
Dig!!
Ray
Ray
6-28 The figure shows a formed round-wire cantilever spring subjected to a varying force.
The hardness tests made on 50 springs gave a minimum hardness of 400 Brinell. It is
apparent from the mounting details that there is no stress concentration. A visual
inspection of the springs indicates that the surface finish corresponds closely to a hot-
rolled finish. Ignore curvature effects on the bending stress. What number of applica-
tions is likely to cause failure? Solve using:
(a) Goodman criterion.
(b) Gerber criterion.
= 40 lbf
max
12 in-
= 20 lbf
min
Problem 6-28
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
- 5-63 The figure shows a shaft mounted in bearings at A and D and having pulleys at B and C. The forces shown acting on the pulley surfaces represent the belt tensions. The shaft is to be made of AISI 1035 CD steel. Using a conservative failure theory with a design factor of 2, determine the minimum shaft diameter to avoid yielding. f-in R 300 Ibf 50 lbf 59 Ibf 392 lbf D Problem 5-63 C 6 in 8-in D. 8 in B 8 inarrow_forwardpls find box ur answer Determine the value of the von Mises stress at point A. The von Mises stress at point A is This problem illustrates that the factor of safety for a machine element depends on the particular point selected for analysis. Here you are to compute factors of safety, based upon the distortion-energy theory, for stress elements at A and B of the member shown in the figure. This bar is made of AISI 1006 cold- drawn steel and is loaded by the forces F= 0.55 kN, P = 4 kN, and T = 25 N-m. Given: Sy= 280 MPa. 5 15-mm D. 100 mm- MPa.arrow_forward2- A chain drive using bush roller chain transmits 5500 W of power. The driving shaft on an electric motor runs at 1440 r.p.m. and velocity ratio is 4.6:1. The drive is required to operate continuously with periodic lubrication and driven machine is such that load can be regarded as fairly constant. Considering the center distance to be as minimum as possible, design the chain drive by calculating leading dimensions, number of teeth and length of the chain.arrow_forward
- 6-10 A rotating shaft of 25-mm diameter is simply supported by bearing reaction forces R, and R2. The shaft is loaded with a transverse load of 13 kN as shown in the figure. The shaft is made from AISI 1045 hot-rolled steel. The surface has been machined. Determine (a) the minimum static factor of safety based on yielding. (b) the endurance limit, adjusted as necessary with Marin factors. (c) the minimum fatigue factor of safety based on achieving infinite life. (d) If the fatigue factor of safety is less than 1 (hint: it should be for this problem), then estimate the life of the part in number of rotations.arrow_forwardCarbon Steel L=100mm dsmall= 20mm moment of inertia ratio between stepped cross-sectional area = 1:2 F=2500 N at A and a fillet radius at the step of 2mm -loading cycles that the design can withstand before fatigue failure - calculate cycles using goodman line and max stress from static analysis. -determine the effect of the 2mm fillet ratio on the fatigue analyisis. constant force at Aarrow_forwardFigure below shows a rotating shaft simply supported in ball bearings at A and D and loaded by a nonrotating orce Fof 6.8 kN. Using ASTM "minimum" strengths, estimate the life of the part. 6T td7 (a) Shaft drawing showing all dimensions in millimeters; all fillets 3-mm radius. The shaft rotates and the load is stationary; material is machined from AISI 1050 cold-drawn steel. (b) Bending moment diagram.arrow_forward
- A mechanism used in a punchingmachinery consists of a tension spring assembled with a preload of 30 N. The wire diameter of spring is 2 mm with a spring index of 7. The spring has 10active coils. The spring wire is hard drawn and oil tempered having the following material properties:Design shear stress = 780 MPa Modulus of rigidity = 80 kN/mm2Identify (a) the initial torsional shear stress in the wire, (b) the spring rate, and (c) the force to cause the body of the spring to reach its yield strength.arrow_forwardQ-3 A 25-mm-diameter solid round bar has a groove 2.5-mm deep with a 2.5-mm radius machined into it. The bar is made of AISI 1050 CD steel and is subjected to a purely reversing torque of 250 N-m. For the S-N curve of this material, let f= 0.9.arrow_forwardProblem 2 A sector of a steel plate with endurance limit Se = 400 MPa, and ultimate strength Sut = 1000 MPa, has a stress state defining with the following cycle parameters calculated with von Mises criterion: = 130 MPa ση σα max-Mises max-Mises = = 400 MPa. Calculate the useful life in cycles according to Goodman criterion considering an equivalent cycle of completely inverted stress. Take n = 1 and work it in in sector of high cycle and finite life.arrow_forward
- A solid cylindrical shaft made of AISI 1020 steel(quenched and tempered at 870oC) rotates at a speedthat produces a safety factor of 2.5 against the stresscausing yielding. To instrument the shaft, a small hole isdrilled in its center for electric wires. At the same timethe material is changed to AISI 1080 steel that has beenquenched and tempered at 800oC. Find the safety factoragainst yielding of the new shaft.arrow_forward1. A rotating l-in diameter solid round bar has a groove 0.1-in deep with a 0.1-radius machined into it. The bar is made of AISI 1020 CD steel and is subjected to a purely reversing torque of 1800 lbf-in. For the S-N curve of the material, let f= 0.9. 1) Estimate the number of cycles to failure. 2) If the bar is also placed in an environment with a temperature of 750 °F, estimate the number of cycles to failure. Note: for pure shear stress state, find ta and Tm to replace oa and om. Apply the load factor k. = 0.59. To get safety factor against first-cycle yielding, use Sgy=0.577 Sy (based on DE theory). For fatigue life or fatigue failure criteria, Replace Sut with Sgu. Ssu = 0.67Sµtarrow_forwarda) The rotating step shaft is subjected to the force as shown in the figure. It is supported by bearings at A and F. The shaft is machined using AISI 1040 CD steel. Determine the minimum fatigue factor of safety based on achieving infinite life. If infinite life is not predicted, estimate the number of cycles failure. Also check for yielding. Given Data: (Notch sensitivity (q)=0.8, Sut=85 kpsi, Syield= 71 kpsi, Surface condition modification factor ka=0.879, Size modification factor kb=0.790, Load modification factor kc=1, fatigue fraction (f)=0.867) * In order to determine Kt; Use Figure A-15-9 in your textbook. Dimensions are in inch and all fillet radius:1/14 inch y 860 lbf de 1.75 1.5 1.0 1.0 B V A| D E F 0.5 8 -8.5- R1 R2 -19.5 20arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Everything About COMBINED LOADING in 10 Minutes! Mechanics of Materials; Author: Less Boring Lectures;https://www.youtube.com/watch?v=N-PlI900hSg;License: Standard youtube license