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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Question
Chapter 6, Problem 2P
(a)
To determine
The endurance limit of AISI 1035 CD steel.
(b)
To determine
The endurance limit of AISI 1050 HR steel.
(c)
To determine
The endurance limit of 2024 T4 aluminum.
(d)
To determine
The endurance limit of heat treated AISI 4130 steel.
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An S-N plot from fatigue testing of a steel is provided below.
Use the plot to determine the following values for this steel.
1. Fatigue limit:
2. Fatigue lifetime at a stress amplitude of:
415 MPa:
275 MPa:
3. Fatigue strength at:
5x104 cycles:
5x105 cycles
500
400
300
200
100
0
1.E+04
Stress Amplitude (MPa)
1.E+05
1.E+06
Cycles to Failure
1.E+07
1.E+08
The fatigue (endurance) limit of a 1045 (plain carbon) stcel is about 300 MN/m² when the
mean stress is zero. The tensile strength of this steel is 750 MPa. Using the Goodman
equation, estiniate the safe stress amplitude for 1045 steel for the situation of a mean
stress of 250 MPa.
2
Estimate the fatigue strength of a rotating-beam made of AISI 1035 CR steel
corresponding to a life of 10° cycles of stress reversal. Also, estimate the life of the
specimen corresponding to stress amplitude of 60 ksi.
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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- A 12.5 mm diameter cylindrical rod fabricated from a Red brass alloy is subjected to a repeated tension-compression load cycling along its axis. Compute the minimum load that will be applied to yield a fatigue life of 2,000,000 cycles. Assume that the stress plotted on the vertical axis is stress amplitude, and data were taken for a mean stress of 50 MPa. 80 500 70 400 60 1045 steel 50 300 40 2014-T6 aluminum alloy 200 30 20 100 Red brass 10 103 104 105 106 107 108 109 1010 Stress amplitude, S (MPa) Stress amplitude (10° psi)arrow_forwardEstimate the fatigue strength of a rotating-beam made of AISI 1020 HR steel corresponding to a life of 12.5 kilocycles of stress reversal. Also, estimate the life of the specimen corresponding to stress amplitude of 36 ksi.arrow_forward2. Another cylindrical component is madeof Enfennering ceramic Al203 but with different dimensions. Here, l=30 cm and the diameter is 4 cm. Assume the same Weibull modulus of 9. Calculate the level of the tensile strength for the following probability of failures: a. Pr (V) = 0.1 b. Pr (Vo) = 0.01 c. What is the survival probability and the failure probability of this component if a stress of 200 MPa is applied?arrow_forward
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