# List of symbols

Symbol Name of the symbol Unit
$C_1$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$\mathrm{ }$