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STRUCTURAL

Beam Load Calculator

Simply supported · Cantilever · Fixed · Point load · UDL · Reactions · BMD · SFD

RA + RB = W Mmax = WL/4

Beam parameters

m
—
kN
Reaction RA — kN
Reaction RB — kN
Max bending moment — kN·m
Max shear force — kN
Max deflection — mm
RA = RB = W/2  |  Mmax = W·L/4

Bending moment diagram

0 L Mmax — A B
BMD — triangular for point load, parabolic for UDL

Shear force diagram

0 L Vmax —
SFD — constant for point load, linear for UDL

Cantilever parameters

m
—
kN
Fixed end reaction — kN
Fixed end moment — kN·m
Max bending moment — kN·m
Max shear force — kN
Max deflection — mm
R = W  |  Mmax = W·L

Bending moment diagram

0 L Mmax — A
BMD — linear for point load, parabolic for UDL

Shear force diagram

0 L Vmax —
SFD — constant for point load, linear for UDL

Fixed-Fixed parameters

m
—
kN
Reaction RA — kN
Reaction RB — kN
Max bending moment — kN·m
Fixed end moment A — kN·m
Fixed end moment B — kN·m
Max deflection — mm
RA = RB = W/2  |  MA = MB = WL/8

Bending moment diagram

0 L Mmax — A B
BMD — hogging at supports, sagging at midspan

Shear force diagram

0 L Vmax —
SFD — zero at midspan for symmetric loading

Continuous beam (2 spans)

m
m
—
kN
Reaction R1 — kN
Reaction R2 — kN
Reaction R3 — kN
Max moment (span 1) — kN·m
Max moment (span 2) — kN·m
Support moment — kN·m
3-moment equation · Clapeyron

Bending moment diagram

0 L₁ L₂ M₁ M₂ Ms
Continuous beam — hogging at interior support

Shear force diagram

0 L₁ L₂ V1 V2 V3
SFD — discontinuity at interior support