List of symbols
Symbol | Name of the symbol | Unit |
---|---|---|
$E$ | modulus of elasticity of the beam material | $\mathrm{MPa}$ |
$I$ | area moment of inertia about the centroidal axis of the beam cross section | $\mathrm{mm^4}$ |
$M$ | bending moment | $\mathrm{Nmm}$ |
$M_A$ | reaction end moment $ M_A $ | $\mathrm{Nmm}$ |
$M_B$ | reaction end moment $ M_B $ | $\mathrm{Nmm}$ |
$M_O$ | applied couple | $\mathrm{Nmm}$ |
$M_{max+}$ | max. moment + | $\mathrm{Nmm}$ |
$M_{max-}$ | max. moment - | $\mathrm{Nmm}$ |
$M_{max}$ | max. moment | $\mathrm{Nmm}$ |
$R_A$ | vertical end reactions $ R_A $ | $\mathrm{N}$ |
$R_B$ | vertical end reactions $ R_B $ | $\mathrm{N}$ |
$T_1$ | temperature on the top surface | $\mathrm{°C}$ |
$T_2$ | temperature on the bottom surface | $\mathrm{°C}$ |
$V$ | transverse shear | $\mathrm{N}$ |
$W$ | load | $\mathrm{N}$ |
$W_a$ | unit load $ W_a $ | $\mathrm{N/mm}$ |
$W_l$ | unit load $ W_l $ | $\mathrm{N/mm}$ |
$a$ | length $ a $ | $\mathrm{mm}$ |
$l$ | length $ l $ | $\mathrm{mm}$ |
$t$ | depth of beam | $\mathrm{mm}$ |
$x$ | distance $ x $ from the left end of the span | $\mathrm{mm}$ |
$y$ | deflection | $\mathrm{mm}$ |
$y_A$ | deflection $ y_A $ | $\mathrm{mm}$ |
$y_B$ | deflection $ y_B $ | $\mathrm{mm}$ |
$y_{max+}$ | max. deflection + | $\mathrm{mm}$ |
$y_{max-}$ | max. deflection - | $\mathrm{mm}$ |
$y_{max}$ | max. deflection | $\mathrm{mm}$ |
$Δ_o$ | lateral displacement | $\mathrm{mm}$ |
$γ$ | temperature coefficient of expansion | $\mathrm{mm/mm/°C}$ |
$θ$ | slope | $\mathrm{rad}$ |
$θ_A$ | angular displacement $ θ_A $ | $\mathrm{rad}$ |
$θ_B$ | angular displacement $ θ_B $ | $\mathrm{rad}$ |
$θ_o$ | angular deformation | $\mathrm{rad}$ |
$θ_{max+}$ | max. angular displacement + | $\mathrm{rad}$ |
$θ_{max-}$ | max. angular displacement - | $\mathrm{rad}$ |
$θ_{max}$ | max. angular displacement | $\mathrm{rad}$ |