tailieunhanh - Mechanics 1 of materials hibbeler 6th Episode 1 Part 7

Tham khảo tài liệu 'mechanics 1 of materials hibbeler 6th episode 1 part 7', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | 4-103. The rigid beam is supported by the three posts A B and c of equal length. Posts A and c have a diameter of 75 nun and are made of aluminum for which Eai 70 GPa and cry al 20 MPa. Post B has a diameter of 20 mm and is made of brass for which Ebr 100 GPa and cry ftr 590 MPa. Determine the smallest magnitude of p so that a only rods A and c yield and b all the posts yield. ỵ 4 0 FA Fc Fai tEF 0 fi 2F. -2P 0 1 a Post A and c will yield ơy a A 2 X106 2 kN td y ss -T - - E l 70 10 Compatibility condition br Sai 0 0002857 L -__ L S 2 100 10 UUUOJ i- Fbr kN g f 0022 28-6MPa ơ OK From Eq. 1 2 -2P 0 p kN Ans b AU the posts yield Hr Ơr br-A kN F kN From Eq. 1 2 - 2P 0 p 181 kN Ans 7 2 0 Ị 2 m 4 2 m I 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. 4-104 The rigid beam is supported by the three posts A fl and c. Posts 4 and c have a diameter of 60 mm and are made of aluminum for which Eat 70 GPa and tTy oz 20 MPa. Post fl is made of brass for which Efe 100 GPa and ơy br 590 MPa. If p 130 kN determine the largest diameter of post B so that all the posts yield al the same lime. p r p-2 m-4 2 in 2 m 2 m 1 ĨZ ỷ 0 2 Fy ai Fbr- 260 0 1 .Fai y Oy alA 20 106 2 kN From Eq. 1 2 -260 0 Fbr kN dg m mm 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