07-01ChapGere.0006

07-01ChapGere.0006 - weld and the shear stress t w acting...

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Problem 7.2-10 Solve the preceding problem if the normal and shear stresses acting on the element are s x 5 2100 kPa, s y 5 300 kPa, and t xy 52 560 kPa, and the seam is oriented at an angle of 22.5° to the element (see figure). Solution 7.2-10 Plane stress (angle u ) 430 CHAPTER 7 Analysis of Stress and Strain y x O 560 kPa 300 kPa 2100 kPa Seam 22.5 ° s x 5 2100 kPa s y 5 300 kPa t xy 52 560 kPa u 5 22.5 8 x O 1030 kPa u 5 22.5 8 1440 kPa 960 kPa y 5 1440 kPa 52 1030 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. s y 1 5 s x 1 s y 2 s x 1 5 960 kPa t x 1 y 1 52 s x 2 s y 2 sin 2 u 1 t xy cos 2 u s x 1 5 s x 1 s y 2 1 s x 2 s y 2 cos 2 u 1 t xy sin 2 u Problem 7.2-11 A rectangular plate of dimensions 3.0 in. 3 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 s w acting perpendicular to the line of the
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Unformatted text preview: weld and the shear stress t w acting parallel to the weld. (Assume that the normal stress s w is positive when it acts in tension against the weld and the shear stress t w is positive when it acts counterclockwise against the weld.) Solution 7.2-11 Biaxial stress (welded joint) 350 psi Weld 500 psi 3 in. 5 in. s x 5 500 psi s y 5 2 350 psi t xy 5 u 5 arctan 3 in. 5 in. 5 arctan 0.6 5 30.96 8 x O 375 psi u 5 30.96 8 275 psi 125 psi y S TRESSES ACTING ON THE WELD s w 5 2 125 psi t w 5 375 psi s y 1 5 s x 1 s y 2 s x 1 5 2 125 psi t x 1 y 1 5 2 s x 2 s y 2 sin 2 u 1 t xy cos 2 u 5 2 375 psi 5 275 psi s x 1 5 s x 1 s y 2 1 s x 2 s y 2 cos 2 u 1 t xy sin 2 u t w u s w 375 psi u 5 30.96 8 125 psi A-PDF Split DEMO : Purchase from www.A-PDF.com to remove the watermark...
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