| $C_1$ | 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 | $\mathrm{ }$ |
