608_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 608_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: 07Ch07.qxd 9/27/08 602 1:19 PM Page 602 CHAPTER 7 Analysis of Stress and Strain Problem 7.4-13 sx 1720 psi, sy 680 psi, txy 320 psi, u 14° Using Mohr’s circle, determine the stresses acting on an element oriented at an angle u from the x axis. Show these stresses on a sketch of an element oriented at the angle u. (Note: The angle u is positive when counterclockwise and negative when clockwise.) Solution 7.4-13 sx u saver R sy 1720 psi txy 680 psi 380 psi Point D: sx1 14° 2(sx sx1 sx + sy saver 2 saver) + txy txy atan a b tx1y1 Point D : sy1 œ 2 a 1200 psi 2 R saver| b b 2u + a |sx sy1 644.0 psi saver R cos( b ) ; 1481 psi R sin ( b ) tx1y1 580 psi ; saver + R cos ( b ) 919 psi ; 64.16° a 36.16° Problem 7.4-14 sx 33 MPa, sy 9 MPa, txy 29 MPa, u 35° Using Mohr’s circle, determine the stresses acting on an element oriented at an angle u from the x axis. Show these stresses on a sketch of an element oriented at the angle u. (Note: The angle u is positive when counterclockwise and negative when clockwise.) Solution 7.4-14 sx u saver R 33 MPa sy 9 MPa txy 29 MPa Point D: sx1 35° 2(sx sx1 sx + sy saver 2 2 saver) + txy txy2 a atan a ` sx saver `b b 2u a b saver + R cos ( b ) ; 46.4 MPa R 35.8050 MPa a 54.09° tx1y1 R sin ( b ) tx1y1 12.00 MPa 9.81 MPa Point D : sy1 œ saver ; R cos ( b ) 15.91° Problem 7.4-15 sx sy1 22.4 MPa ; 5700 psi, sy 950 psi, txy 2100 psi, u 65° Using Mohr’s circle, determine the stresses acting on an element oriented at an angle u from the x axis. Show these stresses on a sketch of an element oriented at the angle u. (Note: The angle u is positive when counterclockwise and negative when clockwise.) ...
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