07-01ChapGere.0005

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

This preview shows page 1. Sign up to view the full content.

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.
This is the end of the preview. Sign up to access the rest of the document.

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...
View Full Document

## 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.

Ask a homework question - tutors are online