| $C_1$
| plate constant $ C_1 $ | $\mathrm{ }$
|
| $C_2$
| plate constant $ C_2 $ | $\mathrm{ }$
|
| $C_3$
| plate constant $ C_3 $ | $\mathrm{ }$
|
| $C_4$
| plate constant $ C_4 $ | $\mathrm{ }$
|
| $C_5$
| plate constant $ C_5 $ | $\mathrm{ }$
|
| $C_6$
| plate constant $ C_6 $ | $\mathrm{ }$
|
| $C_7$
| plate constant $ C_7 $ | $\mathrm{ }$
|
| $C_8$
| plate constant $ C_8 $ | $\mathrm{ }$
|
| $C_9$
| plate constant $ C_9 $ | $\mathrm{ }$
|
| $D$
| the plate constant | $\mathrm{ }$
|
| $E$
| modulus of elasticity of the material | $\mathrm{MPa}$
|
| $F_1$
| function of the radial location $ F_1 $ | $\mathrm{ }$
|
| $F_2$
| function of the radial location $ F_2 $ | $\mathrm{ }$
|
| $F_3$
| function of the radial location $ F_3 $ | $\mathrm{ }$
|
| $F_4$
| function of the radial location $ F_4 $ | $\mathrm{ }$
|
| $F_5$
| function of the radial location $ F_5 $ | $\mathrm{ }$
|
| $F_6$
| function of the radial location $ F_6 $ | $\mathrm{ }$
|
| $F_7$
| function of the radial location $ F_7 $ | $\mathrm{ }$
|
| $F_8$
| function of the radial location $ F_8 $ | $\mathrm{ }$
|
| $F_9$
| function of the radial location $ F_9 $ | $\mathrm{ }$
|
| $G_1$
| function of the radial location $ G_1 $ | $\mathrm{ }$
|
| $G_2$
| function of the radial location $ G_2 $ | $\mathrm{ }$
|
| $G_3$
| function of the radial location $ G_3 $ | $\mathrm{ }$
|
| $G_4$
| function of the radial location $ G_4 $ | $\mathrm{ }$
|
| $G_5$
| function of the radial location $ G_5 $ | $\mathrm{ }$
|
| $G_6$
| function of the radial location $ G_6 $ | $\mathrm{ }$
|
| $G_7$
| function of the radial location $ G_7 $ | $\mathrm{ }$
|
| $G_8$
| function of the radial location $ G_8 $ | $\mathrm{ }$
|
| $G_9$
| function of the radial location $ G_9 $ | $\mathrm{ }$
|
| $G_{11}$
| function of the radial location $ G_{11} $ | $\mathrm{ }$
|
| $G_{12}$
| function of the radial location $ G_{12} $ | $\mathrm{ }$
|
| $G_{13}$
| function of the radial location $ G_{13} $ | $\mathrm{ }$
|
| $G_{14}$
| function of the radial location $ G_{14} $ | $\mathrm{ }$
|
| $G_{15}$
| function of the radial location $ G_{15} $ | $\mathrm{ }$
|
| $G_{16}$
| function of the radial location $ G_{16} $ | $\mathrm{ }$
|
| $G_{17}$
| function of the radial location $ G_{17} $ | $\mathrm{ }$
|
| $G_{18}$
| function of the radial location $ G_{18} $ | $\mathrm{ }$
|
| $G_{19}$
| function of the radial location $ G_{19} $ | $\mathrm{ }$
|
| $L_1$
| loading constant $ L_1 $ | $\mathrm{ }$
|
| $L_2$
| loading constant $ L_2 $ | $\mathrm{ }$
|
| $L_3$
| loading constant $ L_3 $ | $\mathrm{ }$
|
| $L_4$
| loading constant $ L_4 $ | $\mathrm{ }$
|
| $L_5$
| loading constant $ L_5 $ | $\mathrm{ }$
|
| $L_6$
| loading constant $ L_6 $ | $\mathrm{ }$
|
| $L_7$
| loading constant $ L_7 $ | $\mathrm{ }$
|
| $L_8$
| loading constant $ L_8 $ | $\mathrm{ }$
|
| $L_9$
| loading constant $ L_9 $ | $\mathrm{ }$
|
| $L_{11}$
| loading constant $ L_{11} $ | $\mathrm{ }$
|
| $L_{12}$
| loading constant $ L_{12} $ | $\mathrm{ }$
|
| $L_{13}$
| loading constant $ L_{13} $ | $\mathrm{ }$
|
| $L_{14}$
| loading constant $ L_{14} $ | $\mathrm{ }$
|
| $L_{15}$
| loading constant $ L_{15} $ | $\mathrm{ }$
|
| $L_{16}$
| loading constant $ L_{16} $ | $\mathrm{ }$
|
| $L_{17}$
| loading constant $ L_{17} $ | $\mathrm{ }$
|
| $L_{18}$
| loading constant $ L_{18} $ | $\mathrm{ }$
|
| $L_{19}$
| loading constant $ L_{19} $ | $\mathrm{ }$
|
| $M_r$
| unit radial bending moment | $\mathrm{Nm}$
|
| $M_t$
| unit tangential bending moment | $\mathrm{Nm}$
|
| $M_{ra}$
| unit radial bending moment at the outer edge | $\mathrm{Nm}$
|
| $M_{rb}$
| unit radial bending moment at the inner edge | $\mathrm{Nm}$
|
| $M_{tb}$
| unit tangential bending moment at the inner edge | $\mathrm{Nm}$
|
| $Q$
| unit shear force | $\mathrm{N/m}$
|
| $Q_a$
| unit shear force at the outer edge | $\mathrm{N/m}$
|
| $Q_b$
| unit shear force at the inner edge | $\mathrm{N/m}$
|
| $W$
| total applied load | $\mathrm{N}$
|
| $a$
| outer radius | $\mathrm{mm}$
|
| $b$
| inner radius for annular plate | $\mathrm{mm}$
|
| $r$
| radial location of quantity being evaluated | $\mathrm{mm}$
|
| $r_o$
| radial location of unit line loading or start of a distributed load | $\mathrm{mm}$
|
| $t$
| plate thickness | $\mathrm{mm}$
|
| $w$
| unit line load | $\mathrm{N/m}$
|
| $y$
| vertical deflection of plate | $\mathrm{mm}$
|
| $y_a$
| vertical deflection of plate at the outer edge | $\mathrm{mm}$
|
| $y_b$
| vertical deflection of plate at the inner edge | $\mathrm{mm}$
|
| $θ$
| radial slope of plate | $\mathrm{rad}$
|
| $θ_a$
| radial slope of plate at the outer edge | $\mathrm{rad}$
|
| $θ_b$
| radial slope of plate at the inner edge | $\mathrm{rad}$
|
| $ν$
| Poisson's ratio | $\mathrm{ }$
|
