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Mechanics 1 of materials hibbeler 6th Episode 1 Part 10

Tham khảo tài liệu 'mechanics 1 of materials hibbeler 6th episode 1 part 10', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | 5-133 A torque is applied to the shaft of radius r. If the material has a shear stress-strain relation of T kyi 6 where k is a constant determine the maximum shear stress in the shaft. p p max 7max c r t ky r T - 2ĩĩ Ị Tp2 dp Zmix max 2n r k p dp 0 r r 19 19 _gz Ylnkr2 _ 197 tyjLx Ans 12ir r3 From Mechanics of Materials Sixth Edition by R. c. Hibbeler ISBN 0-13-191345-X. 2005 R. c. Hibbeler. Published by Pearson Prentice Hall 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. 5-134 Consider a thin-walled tube of mean radius r and thickness t. Show that the maximum shear stress in the tube due to an applied torque T approaches the average shear stress computed from Eq. 5-18 as rít -4 . J d_y - - 41 2 2 2 2r t 4 - 2r - t 4 64 r3i 16 r Tc _ 2r t i max J c 2 jf- 64r3t 16 rt3 2xrlỊr2 ịt2ì 2xrll i f Ị As - oo then - 0 t r T ị 0 T T 2ftrt l 0 2itr2t T _ QED 2r4. From Mechanics of Materials Sixth Edition by R. c. Hibbeler ISBN 0-13-191345-X. 2005 R. c. Hibbeler. Published by Pearson Prentice Hall 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. 5-135 The pipe has an outer diameter of 0.75 in. and an inner diameter of 0.68 in. If it is tightly secured to the flange determine the maximum shear stress developed in the pipe when the couple shown is applied to the handles of the wrench. T - 15 6 - 15 8 0 T 210 lb in. _ _ Tc 210 0.375 J f 0.3754 - 0.344 7.82 ksi Ans 15 lb 7 6 From Mechanics of Materials Sixth Edition by R. c. Hibbeler ISBN 0-13-191345-X. 2005 R. c. Hibbeler. Published by Pearson Prentice Hall Pearson Education Inc. .