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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Students have asked these similar questions
Q-3 The following creep data were taken on an aluminum alloy at 400°C (750°F)
and a constant stress of 25 MPa (3660 psi). Plot the data as strain versus time, then
determine the steady-state or minimum creep rate.
Time
Time
(min)
Strain
(min)
Strain
0.00
18
0.82
0.22
20
0.88
4
0.34
22
0.95
0.41
24
1.03
8
0.48
26
1.12
10
0.55
28
1.22
12
0.62
30
1.36
14
0.68
32
1.53
16
0.75
34
1.77
D 21 mm L 66 mm
A 1045 hot-rolled steel tension test specimen has the original diameter and length of 6 mm
and 25 mm, respectively. The load and change in length data were recorded as shown in
Table 1 below:
Table 1. Load and change in length
Load (KN)
Change in Length Load (KN)
Change in Length
(mm)
(mm)
20.56
2.26
2.94
0.01
20.72
3.36
5.58
0.02
20.61
3.83
8.52
0.03
19.97
4.00
11.16
0.04
18.72
Fracture.
12.63
0.05
13.02
0.06
13.16
0.08
13.22
0.10
16.15
0.61
18.50
1.04
20.27
1.80
Page 16
3.1) Calculate stress and strain for the data in Table 1. Please show 1 calculation of stress
and 1 of strain. The rest you must tabulate.
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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