251_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

251_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Sec_2.8-2.12.qxd 9/25/08 11:44 AM Page 245 SECTION 2.12 Elastoplastic Analysis Solution 2.12-10 Two cables supporting a load A 48.0 mm2 L 40 m E 160 GPa d difference in length Y 500 MPa (b) PLASTIC LOAD WP F1 100 mm YA WP 2P INITIAL STRETCHING OF CABLE 1 Initially, cable 1 supports all of the load. Let W1 load required to stretch cable 1 to the same length as cable 2 2 W1 W1 A ; 48 kN F2 a 1P L b EA sYL E d 2P 0.125 mm 225 mm ; 225 mm 1P 125 mm (c) LOAD-DISPLACEMENT DIAGRAM 100 mm (elongation of cable 1) 1 s1 19.2 kN YA YA elongation of cable 2 P EA d L F2 Ed L 400 MPa (s1 6 sY ‹ 7 OK) (a) YIELD LOAD WY Cable 1 yields first. F1 YA 1Y total elongation of cable 1 d1Y total elongation of cable 1 d1Y F1L EA dY d1Y 24 kN d2Y WY 0.125 m 125 mm 125 mm ; elongation of cable 2 d1Y F2 sY L E d 25 mm EA d2Y 4.8 kN L F1 + F2 24 kN + 4.8 kN 28.8 kN ; dY d1 WY W1 1.5 WP WY 1.667 0 W 1.25 dP dY 1.8 W1: slope 192,000 N/m W1 W WY: slope 384,000 N/m WY W WP: slope 192,000 N/m 245 ...
View Full Document

This note was uploaded on 12/22/2011 for the course MEEG 310 taught by Professor Staff during the Fall '11 term at University of Delaware.

Ask a homework question - tutors are online