07-01ChapGere.0005

07-01ChapGere.0005 - Solution 7.2-9 Plane stress (angle u )...

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Solution 7.2-8 Plane stress (angle u ) SECTION 7.2 Plane Stress 429 x O 54.8 MPa u 5 – 42.5 8 11.2 MPa 19.2 MPa y s x 52 54 MPa s y 52 12 MPa t xy 5 20 MPa u 52 42.5 8 52 54.8 MPa 52 19.2 MPa s y 1 5 s x 1 s y 2 s x 1 52 11.2 MPa 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 7.2-9 The polyethylene liner of a settling pond is subjected to stresses s x 5 350 psi, s y 5 112 psi, and t xy 52 120 psi, as shown by the plane-stress element in the first part of the figure. Determine the normal and shear stresses acting on a seam oriented at an angle of 30° to the element, as shown in the second part of the figure. Show these stresses on a sketch of an element having its sides parallel and perpendicular to the seam.
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Unformatted text preview: Solution 7.2-9 Plane stress (angle u ) y x O 120 psi 112 psi 350 psi Seam 30 ° s x 5 350 psi s y 5 112 psi t xy 5 2 120 psi u 5 30 8 5 187 psi 5 2 163 psi s y 1 5 s x 1 s y 2 s x 1 5 275 psi t x 1 y 1 5 2 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 The normal stress on the seam equals 187 psi tension. The shear stress on the seam equals 163 psi, acting clockwise against the seam. x O 163 psi u 5 30 8 187 psi 275 psi y A-PDF Split DEMO : Purchase from www.A-PDF.com to remove the watermark...
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This note was uploaded on 09/20/2009 for the course COE 3001 taught by Professor Armanios during the Spring '08 term at Georgia Tech.

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