Fluid Mechanics seventh edition by Frank M. White · Problem 2.1

Pressure Distribution in a Fluid — Frank M. White

Physics — Fluid Mechanics · stress-pressure-gradient-gage-pressure

Problem

For the two-dimensional stress field shown in Fig. P2.1 it is found that

\sigma_{xx} = 3000 \text{ lbf/ft}^2 \quad \sigma_{yy} = 2000 \text{ lbf/ft}^2 \quad \sigma_{xy} = 500 \text{ lbf/ft}^2

Find the shear and normal stresses (in lbf/ft

^2

) acting on plane

AA

cutting through the element at a

30°

angle as shown.