577_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

577_Mechanics - u t xy cos(2 u Problem 7.2-2 Solve the preceding problem for an element in plane stress subjected to stresses s x ± 100 MPa s y ±

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7 Analysis of Stress and Strain 571 Plane Stress Problem 7.2-1 An element in plane stress is subjected to stresses s x ± 4750 psi, s y ± 1200 psi, and t xy ± 950 psi, as shown in the figure. Determine the stresses acting on an element oriented at an angle u ± 60˚ 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 . 1200 psi 950 psi 4750 psi Solution 7.2-1 s x 1 ± 2910 psi ; s x 1 ± s x + s y 2 + s x ² s y 2 cos(2 u ) + t xy sin(2 u ) u ± 60° s x ± 4750 psi s y ± 1200 psi t xy ± 950 psi s y 1 ± 3040 psi ; s y 1 ± s x + s y ² s x 1 t x 1 y 1 ±² 2012 psi ; t x 1 y 1 ±² s x ² s y 2 sin(2
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Unformatted text preview: u ) + t xy cos(2 u ) Problem 7.2-2 Solve the preceding problem for an element in plane stress subjected to stresses s x ± 100 MPa, s y ± 80 MPa, and t xy ± 28 MPa, as shown in the figure. Determine the stresses acting on an element oriented at an angle u ± 30˚ 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 . 80 MPa 28 MPa 100 MPa 07Ch07.qxd 9/27/08 1:18 PM Page 571...
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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.

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