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Mechanics 1 of materials hibbeler 6th Episode 1 Part 9

Tham khảo tài liệu 'mechanics 1 of materials hibbeler 6th episode 1 part 9', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | 5-83 The A-36 steel shaft is made from two segments AC has a diameter of 0.5 in. and CB has a diameter of 1 in. If the shaft is fixed at its ends A and B and subjected to a uniform distributed torque of 60 lb in7m. along segment CB determine the absolute maximum shear stress in the shaft. Equilibrium TÁ Tb - 60 20 0 1 Compatibility condition ỘC B - ỘC A f T x dx _ po Tb - 60x dx C B J JG Jo 0.54 11.0 10li 18.52 10 6 Tb - 0.011112 18.52 10 6 TB - 0.011112 0254 11.0 106 18.52 10 6 Tfl - 74.08 10 6 tZ 0.011112 18.52Tb - 74.087 11112 2 Solving Eqs. 1 and 2 yields 7 120.01b in. Tfl 1080 Ib in. T s ffl0 0.5 550ksi TmiI JSC J i 0.54 r AC 4-89ksi J 2 0.254 r b 5-50 ksi Ans tnai 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. 5-84. The tapered shaft is confined by the fixed supports at A and B. If a torque T is applied at its mid-point determine the reactions at the supports. Equilibrium TÁ Tt-T 0 1 Section Properiiee r x c ỵX .L x Angle of Twin A - Í Tdx c Tdx r J J x G Jị L x G 2TL rL dx lỉc GÌịíL x 2TL r 1 ll1 -3tc gL í. x J ỉ 37TL 3241CC G To A G J0 Z. x 4G _ 2T L A dx ik G Jo L x Tò 7T L 12ffc4G Compatibility O pT-ệ 3777. ITgL 324irc4G l2nc4G 37 _ T r Ans Substituting the result into Eq. l yields 152. 189 Ans 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. 5-85 A portion