This preview shows page 1. Sign up to view the full content.
Unformatted text preview: 07Ch07.qxd 9/27/08 1:18 PM Page 575 SECTION 7.2 Plane Stress Solution 7.2-8
sx 46 MPa u 42.5° sx1
sx1 sy sx + sy 13 MPa cos (2u) + txy sin (2u) +
2 21 MPa 2 2
sx + sy ; sx1 7.1 MPa ; y Problem 7.2-9 The polyethylene liner of a settling
pond is subjected to stresses sx 350 psi, sy 112 psi,
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. sin (2u) + txy cos (2u) 14.6 MPa sy1 ; 51.9 MPa sy1 sy sx tx1y1
tx1y1 sy sx txy 112 psi 30° 350 psi
120 psi Seam Solution 7.2-9 Plane stress (angle ) sx
sx1 sy 350 psi
sx + sy sy sx
+ 2 2
2 163 psi
sy1 txy 120 psi 30° 187 psi
tx1y1 112 psi sx + sy cos 2u + txy sin 2u ;
sin 2u + txy cos 2u
sx1 275 psi ; The normal stress on the seam equals 187 psi
The shear stress on the seam equals 163 psi, acting
clockwise against the seam.
; 575 ...
View Full Document
This note was uploaded on 12/22/2011 for the course MEEG 310 taught by Professor Staff during the Fall '11 term at University of Delaware.
- Fall '11