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