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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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exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.<br />

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

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