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 $ $\mathrm{Nmm}$
$M_{max+}$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 $ $\mathrm{N}$
$V$transverse shear$\mathrm{N}$
$W_a$unit load $ W_a $ $\mathrm{N/mm}$
$W_l$unit load $ W_l $ $\mathrm{N/mm}$
$a$length $ a $ $\mathrm{mm}$
$l$length $ l $ $\mathrm{mm}$
$x$distance $ x $ from the left end of the span$\mathrm{mm}$
$y_A$deflection $ y_A $ $\mathrm{mm}$
$y_B$deflection $ y_B $ $\mathrm{mm}$
$y_{max}$max. deflection$\mathrm{mm}$
$θ_A$angular displacement $ θ_A $ $\mathrm{rad}$
$θ_B$angular displacement $ θ_B $ $\mathrm{rad}$
$θ_{max}$max. angular displacement$\mathrm{rad}$