ch01-03 stress & strain & properties
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01 Solutions 46060 5/6/10 2:43 PM Page 17<br />
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1–27. The pipe has a mass of 12 kg>m. If it is fixed to the<br />
wall at A, determine the resultant internal loadings acting on<br />
the cross section at B. Neglect the weight of the wrench CD.<br />
z<br />
300 mm<br />
A<br />
200 mm<br />
B<br />
60 N<br />
y<br />
x<br />
400 mm<br />
60 N<br />
150 mm<br />
D<br />
C<br />
150 mm<br />
©F x = 0; (N B ) x = 0<br />
©F y = 0; (V B ) y = 0<br />
Ans.<br />
Ans.<br />
©F z = 0; (V B ) z - 60 + 60 - (0.2)(12)(9.81) - (0.4)(12)(9.81) = 0<br />
(V B ) z = 70.6 N<br />
Ans.<br />
©M x = 0; (T B ) x + 60(0.4) - 60(0.4) - (0.4)(12)(9.81)(0.2) = 0<br />
(T B ) x = 9.42 N # m<br />
Ans.<br />
©M y = 0; (M B ) y + (0.2)(12)(9.81)(0.1) + (0.4)(12)(9.81)(0.2) - 60(0.3) = 0<br />
(M B ) y = 6.23 N # m<br />
Ans.<br />
©M z = 0; (M B ) z = 0<br />
Ans.<br />
17