162
5 Two-Dimensional Problems in Cartesian Co-ordinate System
Fig. 5.17 Rectangular beam
(i) φ = C 1 x
2
(ii) φ = C 1 x y
(iii) φ = C 1 y
3
(iv) φ =
C 1
2
x
2
+ C 2 x y +
C 3
2
y
2
Investigate for the stress field and comment.
13. A thin space plate whose sides are parallel to x and y axes the following distribution σ x = Ay; σ y = Ax and some shear stress where A is a constant. Find the
suitable stress function and the nature of shear stress which can be associated
with the given normal stresses.
5 Two-Dimensional Problems in Cartesian Co-ordinate System
Fig. 5.17 Rectangular beam
(i) φ = C 1 x
2
(ii) φ = C 1 x y
(iii) φ = C 1 y
3
(iv) φ =
C 1
2
x
2
+ C 2 x y +
C 3
2
y
2
Investigate for the stress field and comment.
13. A thin space plate whose sides are parallel to x and y axes the following distribution σ x = Ay; σ y = Ax and some shear stress where A is a constant. Find the
suitable stress function and the nature of shear stress which can be associated
with the given normal stresses.