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 $\mathrm{rad}$