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
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Textbook Question
Chapter 6, Problem 51P
6-51* to 6-53* For the problem specified in the table, build upon the results of the original problem to deter-mine the minimum factor of safety for fatigue at point A, based on infinite life, using the modified Goodman criterion. If the life is not infinite, estimate the number of cycles. The force F is applied as a repeated load. The material is AISI 1018 CD steel.
Problem Number | Original Problem, Page Number |
6-51* | 3-84, 154 |
3-84* The cantilevered bar in the figure is made from a ductile material and is statically loaded with Fy = 250 Ibf and Fx = Fz = 0. Analyze the stress situation in the small diameter at the shoulder at A by obtaining the following information.
- (a) Determine the precise location of the critical stress element at the cross section at A.
- (b) Sketch the critical stress clement and determine magnitudes and directions for all stresses acting on it. (Transverse shear may be neglected if you can justify this decision.)
- (c) For the critical stress clement, determine the principal stresses and the maximum shear stress.
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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.
6-25 The cold-drawn AISI 1040 steel bar shown in the figure
reversed axial load fluctuating between 28 kN in compression to 28 kN in tension.
Estimate the fatigue factor of safety based on achieving infinite life and the yielding
factor of safety. If infinite life is not predicted, estimate the number of cycles to failure.
6-mm D.
25 mm
Problem 6-25
10 mm
The cold-drawn AISI 1040 steel bar shown in the figure is subjected to an axial load fluctuating between 0kN and 28kN. Estimate the fatigue factor of safety based on achieving infinite life using modified Goodman criterion and the yielding factor of safety. If infinite life is not predicted, estimate the number of cycles to failure.
Chapter 6 Solutions
Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)
Ch. 6 - A 10-mm steel drill rod was heat-treated and...Ch. 6 - Prob. 2PCh. 6 - A steel rotating-beam test specimen has an...Ch. 6 - A steel rotating-beam test specimen has an...Ch. 6 - A steel rotating-beam test specimen has an...Ch. 6 - Repeat Prob. 6-5 with the specimen having an...Ch. 6 - A steel rotating-beam test specimen has an...Ch. 6 - Derive Eq. (6-17). Rearrange the equation to solve...Ch. 6 - For the interval 103 N 106 cycles, develop an...Ch. 6 - Estimate the endurance strength of a...
Ch. 6 - Two steels are being considered for manufacture of...Ch. 6 - A 1-in-diamctcr solid round bar has a groove...Ch. 6 - A solid square rod is cantilevered at one end. The...Ch. 6 - A rectangular bar is cut from an AISI 1020...Ch. 6 - A solid round bar with diameter of 2 in has a...Ch. 6 - The rotating shaft shown in the figure is machined...Ch. 6 - The shaft shown in the figure is machined from...Ch. 6 - Solve Prob. 6-17 except with forces F1 = 1200 lbf...Ch. 6 - Bearing reactions R1 and R2 are exerted on the...Ch. 6 - A bar of steel has the minimum properties Se = 40...Ch. 6 - Repeat Prob. 6-20 but with a steady torsional...Ch. 6 - Repeat Prob. 6-20 but with a steady torsional...Ch. 6 - Repeat Prob. 6-20 but with an alternating...Ch. 6 - A bar of steel has the minimum properties Se = 40...Ch. 6 - The cold-drawn AISI KUO steel bar shown in the...Ch. 6 - Repeat Prob. 6-25 for a load that fluctuates from...Ch. 6 - An M14 2 hex-head bolt with a nut is used to...Ch. 6 - The figure shows a formed round-wire cantilever...Ch. 6 - The figure is a drawing of a 4- by 20-mm latching...Ch. 6 - The figure shows the free-body diagram of a...Ch. 6 - Solve Prob. 6-30 except let w1 = 2.5 in. w2 = l.5...Ch. 6 - For the part in Prob. 630, recommend a fillet...Ch. 6 - Prob. 33PCh. 6 - Prob. 34PCh. 6 - A part is loaded with a combination of bending,...Ch. 6 - Repeat the requirements of Prob. 6-35 with the...Ch. 6 - 6-37 to 6-46For the problem specified in the build...Ch. 6 - 6-37 to 6-46For the problem specified in the build...Ch. 6 - 637 to 646 For the problem specified in the table,...Ch. 6 - For the problem specified in the table, build upon...Ch. 6 - 6-37 to 6-46 For the problem specified in the...Ch. 6 - 6-37 to 6-46 For the problem specified in the...Ch. 6 - 6-37 to 6-46 For the problem specified in the...Ch. 6 - Problem Number Original Problem, Page Number 637...Ch. 6 - 6-37 to 6-46 For the problem specified in the...Ch. 6 - 6-37 to 6-46 For the problem specified in the...Ch. 6 - 6-47 to 6-50 For the problem specified in the...Ch. 6 - 6-47 to 6-50 For the problem specified in the...Ch. 6 - Prob. 49PCh. 6 - Prob. 50PCh. 6 - 6-51 to 6-53 For the problem specified in the...Ch. 6 - 6-51 to 6-53 For the problem specified in the...Ch. 6 - 6-51 to 6-53 For the problem specified in the...Ch. 6 - Solve Prob. 6-17 except include a steady torque of...Ch. 6 - Solve Prob. 618 except include a steady torque of...Ch. 6 - In the figure shown, shaft A, made of AISI 1020...Ch. 6 - A schematic of a clutch-testing machine is shown....Ch. 6 - For the clutch of Prob. 657, the external load P...Ch. 6 - A flat leaf spring has fluctuating stress of max =...Ch. 6 - A rotating-beam specimen with an endurance limit...Ch. 6 - A machine part will be cycled at 350 MPa for 5...Ch. 6 - The material properties of a machine part are Sut...Ch. 6 - Repeat Prob. 662 using the Goodman criterion....
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