Basic - (example: Hydraulic engineering) searches for the entered expression in an exact match with the entry - i.e. in the order in which the words follow each other.
Logical OR - (example: butterfly valve OR lattice disc) pages containing one, the other, or both of the entered keywords will be included in the results.
Logical AND - (example: ASME AND internal pressure) only pages containing both required words will appear in the results.
Logical NOT - (example: spherical NOT ASME) pages containing the name "spherical" but not containing the word "ASME" will be displayed in the results.
if $r > r_o$$$G_3=\cfrac{r_o}{4\cdot r}\cdot\left\{\left[\left(\cfrac{r_o}{r}\right)^2+1\right]\cdot\ln\left(\cfrac{r}{r_o}\right)+\left(\cfrac{r_o}{r}\right)^2-1\right\}$$else$$G_3=0$$
Function of the radial location $ G_6 $
if $r > r_o$$$G_6=\cfrac{r_o}{4\cdot r}\cdot\left[\left(\cfrac{r_o}{r}\right)^2-1+2\cdot\ln\left(\cfrac{r}{r_o}\right)\right]$$else$$G_6=0$$
Function of the radial location $ G_9 $
if $r > r_o$$$G_9=\cfrac{r_o}{r}\cdot\left\{\cfrac{1+ν}{2}\cdot\ln\left(\cfrac{r}{r_o}\right)+\cfrac{1-ν}{4}\cdot\left[1-\left(\cfrac{r_o}{r}\right)^2\right]\right\}$$else$$G_9=0$$