Fluid Mechanics seventh edition by Frank M. White · Problem 2.2

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 suppose that

\sigma_{xx} = 2000 \text{ lbf/ft}^2 \quad \sigma_{yy} = 3000 \text{ lbf/ft}^2 \quad \sigma_n(AA) = 2500 \text{ lbf/ft}^2

Compute

(a)

the shear stress

\sigma_{xy}

and

(b)

the shear stress on plane

AA