The two dimensional state of stress in a body is described by the Airy's stress function:
$\phi=5 \frac{\mathrm{x}^{4}}{12}+\frac{\mathrm{x}^{3} \mathrm{y}}{6}+3 \frac{\mathrm{x}^{2} \mathrm{y}^{2}}{2}+7 \frac{\mathrm{xy}^{3}}{6}+\mathrm{E} \frac{\mathrm{y}^{4}}{12} .$ The Airy's stress function will satisfy the equilibrium
and the compatibility requirements if and only if the value of the coefficient $\mathrm{E}$ is______________

Question ID - 155667 | SaraNextGen Top Answer

The two dimensional state of stress in a body is described by the Airy's stress function:
$\phi=5 \frac{\mathrm{x}^{4}}{12}+\frac{\mathrm{x}^{3} \mathrm{y}}{6}+3 \frac{\mathrm{x}^{2} \mathrm{y}^{2}}{2}+7 \frac{\mathrm{xy}^{3}}{6}+\mathrm{E} \frac{\mathrm{y}^{4}}{12} .$ The Airy's stress function will satisfy the equilibrium
and the compatibility requirements if and only if the value of the coefficient $\mathrm{E}$ is______________