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ch01-03 stress & strain & properties

01 Solutions 46060

01 Solutions 46060 5/6/10 2:43 PM Page 17 © 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved. This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher. 1–27. The pipe has a mass of 12 kg>m. If it is fixed to the wall at A, determine the resultant internal loadings acting on the cross section at B. Neglect the weight of the wrench CD. z 300 mm A 200 mm B 60 N y x 400 mm 60 N 150 mm D C 150 mm ©F x = 0; (N B ) x = 0 ©F y = 0; (V B ) y = 0 Ans. Ans. ©F z = 0; (V B ) z - 60 + 60 - (0.2)(12)(9.81) - (0.4)(12)(9.81) = 0 (V B ) z = 70.6 N Ans. ©M x = 0; (T B ) x + 60(0.4) - 60(0.4) - (0.4)(12)(9.81)(0.2) = 0 (T B ) x = 9.42 N # m Ans. ©M y = 0; (M B ) y + (0.2)(12)(9.81)(0.1) + (0.4)(12)(9.81)(0.2) - 60(0.3) = 0 (M B ) y = 6.23 N # m Ans. ©M z = 0; (M B ) z = 0 Ans. 17

01 Solutions 46060 5/6/10 2:43 PM Page 18 © 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved. This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher. *1–28. The brace and drill bit is used to drill a hole at O.If the drill bit jams when the brace is subjected to the forces shown, determine the resultant internal loadings acting on the cross section of the drill bit at A. O z A F x 30 lb F z 10 lb x 3 in. 9 in. 9 in. 6 in. 6 in. 6 in. F y 50 lb y Internal Loading: Referring to the free-body diagram of the section of the drill and brace shown in Fig. a, ©F x = 0; AV A B x - 30 = 0 AV A B x = 30 lb ©F y = 0; AN A B y - 50 = 0 AN A B y = 50 lb ©F z = 0; AV A B z - 10 = 0 AV A B z = 10 lb ©M x = 0; AM A B x - 10(2.25) = 0 AM A B x = 22.5 lb # ft ©M y = 0; AT A B y - 30(0.75) = 0 AT A B y = 22.5 lb # ft ©M z = 0; AM A B z + 30(1.25) = 0 AM A B z = -37.5 lb # ft Ans. Ans. Ans. Ans. Ans. Ans. The negative sign indicates that (M A ) Z acts in the opposite sense to that shown on the free-body diagram. 18

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