578_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

578_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 07Ch07.qxd 9/27/08 572 1:18 PM Page 572 CHAPTER 7 Analysis of Stress and Strain Solution 7.2-2 sx u sx1 sx1 sy 100 MPa 80 MPa txy 28 MPa 30° sx + sy sy sx + 2 2 tx1y1 cos (2u) + txy sin (2u) 2 sin(2u) + txy cos(2u) ; 5.30 MPa sy1 sx + sy sy1 ; 119.2 MPa sy sx tx1y1 sx1 60.8 MPa ; Problem 7.2-3 Solve Problem 7.2-1 for an element in plane stress subjected to 2300 psi 5700 psi, sy 2300 psi, and txy 2500 psi, as shown in the figure. stresses sx Determine the stresses acting on an element oriented at an angle u 50˚ from the x axis, where the angle u is positive when counterclockwise. Show these stresses on a sketch of an element oriented at the angle u. 2500 psi 5700 psi Solution 7.2-3 sx u sx1 sx1 sy 5700 psi 2300 psi txy 2500 psi 50° sx + sy sy sx + 2 2 1243 psi sy sx tx1y1 2 sin (2u) + txy cos (2u) tx1y1 cos (2u) + txy sin (2u) ; 1240 psi ; sy1 sx + sy sx1 sy1 6757 psi ; Problem 7.2-4 The stresses acting on element A in the web of a train rail are found to be 40 MPa tension in the horizontal direction and 160 MPa compression in the vertical direction (see figure). Also, shear stresses of magnitude 54 MPa act in the directions shown. Determine the stresses acting on an element oriented at a counterclockwise angle of 52˚ from the horizontal. Show these stresses on a sketch of an element oriented at this angle. 160 MPa A A Side View 40 MPa 54 MPa Cross Section ...
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