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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Chapter 1, Problem 13P
A fatigue test is performed on rotating beam specimens where, for each rotation cycle, the specimens experience tensile and compressive stresses of equal magnitude. The cycles-to-failure experience with 69 specimens of 5160H steel from 1.25-in hexagonal bar stock was as follows:
| L | 60 | 70 | 80 | 90 | 100 | 110 | 120 | 130 | 140 | 150 | 160 | 170 | 180 | 190 | 200 | 210 |
| f | 2 | 1 | 3 | 5 | 8 | 12 | 6 | 10 | 8 | 5 | 2 | 3 | 2 | 1 | 0 | 1 |
where L is the life in thousands of cycles, and f is the class frequency of failures.
- (a) Estimate the mean and standard deviation of the life for the population from which the sample was drawn.
- (b) Presuming the distribution is normal, how many specimens are predicted to fail at less than 115 kcycles?
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The beam is made of elastic perfectly plastic material. Determine the shape factor for the cross
section of the beam (Figure Q3). [Take σy = 250 MPa, yNA = 110.94 mm, I = 78.08 x 106 mm²]
y
25 mm
75 mm
I
25 mm
200 mm
25 mm
125
Figure Q3
A beam of the cross section shown in Figure Q3 is made of a steel that is assumed to be elastic-
perfectectly plastic material with E = 200 GPa and σy = 240 MPa. Determine:
i.
The shape factor of the cross section
ii.
The bending moment at which the plastic zones at the top and bottom of the bar are 30
mm thick.
15 mm
30 mm
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30 mm
Chapter 1 Solutions
Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)
Ch. 1 - Select a mechanical component from Part 3 of this...Ch. 1 - Select a mechanical component from Part 3 of this...Ch. 1 - Select an organization listed in Sec. 16, go to...Ch. 1 - Go to the Internet and connect to the NSPE website...Ch. 1 - Go to the Internet and connect to the NSPE website...Ch. 1 - Estimate how many times more expensive it is to...Ch. 1 - The costs to manufacture a part using methods A...Ch. 1 - A cylindrical part of diameter d is loaded by an...Ch. 1 - When one knows the true values x1 and x2 and has...Ch. 1 - Use the true values x1 = 7 and x2 = 8 (a)...
Ch. 1 - A solid circular rod of diameter d undergoes a...Ch. 1 - A fatigue test is performed on rotating beam...Ch. 1 - Determinations of the ultimate tensile strength...Ch. 1 - The lives of parts are often expressed as the...Ch. 1 - The tensile 0.2 percent offset yield strength of...Ch. 1 - A mechanical system comprises three subsystems in...Ch. 1 - From See. 3-12, the maximum shear stress in a...Ch. 1 - A round cold-drawn 1045 steel rod has a mean...Ch. 1 - A beam subjected to axial loading will experience...Ch. 1 - Three blocks A, B, and C and a grooved block D...Ch. 1 - The volume of a rectangular parallelepiped is...Ch. 1 - A pivot in a linkage has a pin in the figure whose...Ch. 1 - A circular cross section O ring has the dimensions...Ch. 1 - Prob. 25PCh. 1 - Prob. 26PCh. 1 - Prob. 27PCh. 1 - Prob. 28PCh. 1 - Convert the following to appropriate ips units:...Ch. 1 - Convert the following to appropriate SI units: (a)...Ch. 1 - Generally, final design results are rounded to or...Ch. 1 - Repeal Prob. 1-31 for the following: (a) = F/wt,...Ch. 1 - Repeat Prob. 131 for: (a) = F/A, where A = d2/4, F...
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