Cantilever Beam Calculator
Calculate moment, shear, deflection, and reinforcement requirements for cantilever concrete beams.
Cantilever Parameters
Maximum Moment at Support
89.60 k-ft
Service: 64.00 k-ft | Shear: 22.40 kips
Flexure
NG
Shear
Stirrups
Deflection
OK
Support Reactions
Vertical Reaction
16.00 kips
Moment Reaction
64.00 k-ft
Top Reinforcement (at support)
1.374 in²
rho = 0.739%
5-#5
4-#6
3-#7
phiMn Capacity
89.60 k-ft
phiVc Capacity
17.65 kips
Deflection at Free End
Delta = 1.010" (Limit: 533.333" = L/180)
Cantilever Beam Formulas
| Load Case | Max Moment | Max Shear | Max Deflection |
|---|---|---|---|
| Uniform Load (w) | wL²/2 | wL | wL⁴/8EI |
| Point Load at End (P) | PL | P | PL³/3EI |
| Point Load at (a) from support | Pa | P | Pa²(3L-a)/6EI |