583_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

583_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: 07Ch07.qxd 9/27/08 1:18 PM Page 577 SECTION 7.2 Plane Stress 577 Solution 7.2-11 Biaxial stress (welded joint) tx1y1 sy1 sy sx 2 sx + sy sin 2u + txy cos 2u sx1 375 psi 125 psi STRESSES ACTING ON THE WELD sx u arctan sy 500 psi sx1 3 in. 5 in. sx + sy txy 350 psi arctan 0.6 0 sw 30.96° tw sy sx + 2 2 125 psi 375 psi ; ; cos 2u + txy sin 2u 275 psi 12.0 MPa Problem 7.2-12 Solve the preceding problem for a plate of dimensions 100 mm * 250 mm subjected to a compressive stress of 2.5 MPa in the long direction and a tensile stress of 12.0 MPa in the short direction (see figure). ld We 100 mm 250 mm 2.5 MPa Solution 7.2-12 Biaxial stress (welded joint) tx1y1 sy1 sy sx 2 sx + sy sin 2u + txy cos 2u sx1 10.0 MPa STRESSES ACTING ON THE WELD sx u sx1 sy 2.5 MPa arctan 100 mm 250 mm sx + sy 2 0.5 MPa arctan 0.4 sy sx + 2 12.0 MPa txy 21.80° 0 sw tw cos 2u + txy sin 2u 10.0 MPa ; 5.0 MPa ; 5.0 MPa ...
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