582_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

582_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: 07Ch07.qxd 9/27/08 576 1:18 PM Page 576 CHAPTER 7 Analysis of Stress and Strain Problem 7.2-10 Solve the preceding problem if the normal y and shear stresses acting on the element are sx 2100 kPa, sy 300 kPa, and txy 560 kPa, and the seam is oriented at an angle of 22.5° to the element (see figure). 300 kPa 22.5° 2100 kPa x O Seam 560 kPa Solution 7.2-10 Plane stress (angle ) sx + sy sx1 sy sx + 2 2 ; 1440 kPa sy sx tx1 y1 2 sin 2u + txy cos 2u 1030 kPa sy1 sx u 2100 kPa 22.5° sy 300 kPa txy 560 kPa cos 2u + txy sin 2u ; sx + sy sx1 960 kPa ; The normal stress on the seam equals 1440 kPa tension. ; The shear stress on the seam equals 1030 kPa, acting clockwise against the seam. ; Problem 7.2-11 A rectangular plate of dimensions 3.0 in. * 5.0 in. is formed by welding two triangular plates (see figure). The plate is subjected to a tensile stress of 500 psi in the long direction and a compressive stress of 350 psi in the short direction. Determine the normal stress sw acting perpendicular to the line of the weld and the shear tw acting parallel to the weld. (Assume that the normal stress sw is positive when it acts in tension against the weld and the shear stress tw is positive when it acts counterclockwise against the weld.) 350 psi ld We 3 in. 5 in. 500 psi ...
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