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Class 26 - Principal Stresses

# Structural Analysis (6th Edition)

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Unformatted text preview: Problem 7.2-“ A rectangular plate of dimensions 3.0 in. X 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 orw acting perpendicular to the line of the weld and the shear stress 7W acting parallel to the weld. (Assume that the normal stress ow is positive when it acts in tension against the weld and the shear stress 7W is positive when it acts counterclockwise against the weld.) Problem 72-11 A rectangular plate of dimensions 3.0 in. X 5.0 in. is formed by welding two triangular plates (see ﬁgure). The plate is subjected I to a tensile stress of 500 psi in the long direction and a compressive stress of if: 350 psi in the short direction. 5 Determine the normal stress (7w acting perpendicular to the line of the weld and the shear stress ’rw acting parallel to the weld. (Assume that the normal stress crw is positive when it acts in tension against the weld and the shear stress 7w is positive when it acts counterclockwise against the weld.) ‘73,: 2 + 2 c0520+rxysin26 =27Spsi erg—cry. 7m:‘" 2 SanG-rrv c05292—375 psi “y,=0'x+0’y‘“0‘x,=-125psi STRESSES ACTING ON THE WELD j: owl: lZipsi at 1“". Ea __ . .. _ . r: X . ' a} - 500 psi. cry ~— 350 psz TX), 0 7w 6 375 P51 ‘19 =30.96° in. 6 = arctan -:- = arctan 0.6 = 30.96° 5 1n. (7W = ‘125 psi 4- TW 2 375 psi 4- f x}; 52:2. ...
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Class 26 - Principal Stresses - Problem 7.2-“ A...

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