Beam calculator

Span L (m)Point load P (kN)Distance from left support a (m)

Young's modulus E (GPa)Second moment of area I (mm^4)

Pin at the left (A), roller at the right (B). Loads act downwards; sagging moment is positive.

Reactions	R_A = 6.25 kN; R_B = 3.75 kN
Max bending moment	9.375 kN m	at x = 1.5 m
Max shear force	6.25 kN	at x = 0 m
Max deflection	7.215 mm	at x = 1.86 m, downwards
EI	1.7 MN m^2

Deflection is found by integrating EI y'' = M twice, so it matches Macaulay or the standard tables. Check your answer against it rather than copying it.