ch01-03 stress & strain & properties
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01 Solutions 46060 5/6/10 2:43 PM Page 21<br />
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1–31. The column is subjected to an axial force of 8 kN,<br />
which is applied through the centroid of the cross-sectional<br />
area. Determine the average normal <strong>stress</strong> acting at section<br />
a–a. Show this distribution of <strong>stress</strong> acting over the area’s<br />
cross section.<br />
10 mm<br />
8 kN<br />
75 mm<br />
75 mm<br />
10 mm<br />
10 mm<br />
70 mm<br />
70 mm<br />
a<br />
a<br />
A = (2)(150)(10) + (140)(10)<br />
= 4400 mm 2 = 4.4 (10 -3 ) m 2<br />
s = P A = 8 (1<strong>03</strong> )<br />
4.4 (10 - 3 = 1.82 MPa<br />
)<br />
Ans.<br />
*1–32. The lever is held to the fixed shaft using a tapered<br />
pin AB, which has a mean diameter of 6 mm. If a couple is<br />
applied to the lever, determine the average shear <strong>stress</strong> in<br />
the pin between the pin and lever.<br />
B<br />
A<br />
12 mm<br />
250 mm 250 mm<br />
20 N 20 N<br />
a+©M O = 0; -F(12) + 20(500) = 0; F = 833.33 N<br />
t avg = V A = 833.33<br />
p<br />
4 ( 6<br />
1000<br />
)2<br />
= 29.5 MPa<br />
Ans.<br />
21
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