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Mechanical Engineering Design
Shigley’s Mechanical Engineering Design – Solution Manual [EXP-48072]
790 SOLVED PROBLEMS
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Question: 3.60
A 20-mm-diameter steel bar is to be used as a torsion spring. If the torsional stress in the bar is not to exceed 110 MPa when one end is twisted through an angle of 15°, what must be the length of the bar?
Verified Answer:
\begin{aligned}&\tau=\frac{16 T}...
Question: 3.23
A 3/4-in diameter steel tension rod is 5 ft long and carries a load of 15 kip. Find the tensile stress, the total deformation, the unit strains, and the change in the rod diameter.
Verified Answer:
\sigma=\frac{F}{A}=\frac{15000}{(\pi...
Question: 3.62
A 40-mm-diameter solid steel shaft, used as a torque tr mitter, is replaced with a hollow shaft having a 40-mm OD and a 36-mm ID.
Verified Answer:
\begin{aligned}&\text { (a) } T_{\text ...
Question: 3.14
A beam carrying a uniform load is simply supported with the supports set back a distance a from the ends as shown in the figure
Verified Answer:
(a) Moment at center,
\begin{aligned}&x...
Question: 3.45
A cantilever beam with a 1-in-diameter round cross section is loaded at the tip with a tr verse force of 1000 lbf, as shown in the figure. The cross section at the wall is also shown, with labeled points A at the top, B at the center, and C at the midpoint between A and B. Study the
Verified Answer:
(a)
L=10
in. Element [late...
Question: 3.64
A hollow steel shaft is to tr mit 4200 N ・ m of torque and is to be sized so that the torsional stress does not exceed 120 MPa.
Verified Answer:
(a)
\begin{aligned}&\tau=\frac{T...
Question: 3.40
A pin in a knuckle joint carrying a tensile load F deflects somewhat on account of this loading, making the distribution of reaction and load as shown in part ( b) of the figure
Verified Answer:
I=\frac{\pi}{64}\left(0.5^{4}\right)=3.068\...
Question: 2.15
Brinell hardness tests were made on a random sample of 10 steel parts during processing. The results were HB values of 230, 232(2), 234, 235(3), 236(2), and 239. Estimate the mean and standard deviation of the ultimate strength in kpsi.
Verified Answer:
\text { For the data given, converting } H...
Question: 2.7
Compute the true stress and the logarithmic strain using the data of Prob. 2–6 and plot the results on log-log paper. Then find the plastic strength coefficient
Verified Answer:
To plot
\sigma_{\text {true }}
vs. ...
Question: 3.67
Consider two shafts in torsion, each of the same material, length, and cross-sectional area. One shaft has a solid square cross section and the other shaft has a solid circular section. (a) Which shaft has the greater maximum shear stress and by what percentage?
Verified Answer:
For a square cross section with side length...
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