Engineering
Beam Calculator
Calculate beam reactions, moments, and shear forces
Max Bending Moment31.2500 kN·mView results
m
kN or kN/m
m
GPa
cm⁴
Real-time Results
Max Bending Moment
31.2500kN·m
Maximum bending moment in the beam
Max Shear Force
25.0000kN
Maximum shear force in the beam
Maximum Deflection
40.6901mm
Maximum deflection of the beam
Support Reactions
Vertical reactions at each support
| Item | Value |
|---|---|
| Reaction at A (Left Support) | 25.0000 kN |
| Reaction at B (Right Support) | 25.0000 kN |
Supported inputs
| Input | Description |
|---|---|
| Load Type | Type of load applied to the beam udl · point_center · point_any |
| Beam Length (m) | Total length of the beam |
| Load (kN or kN/m) | UDL in kN/m, or Point Load in kN |
| Point Load Position (m) (m) | Distance from left support (for point load at any position) |
| Elastic Modulus (GPa) | Young's modulus of the beam material |
| Moment of Inertia (cm⁴) | Second moment of area of the beam cross-section |
Formula
Simply supported beam formulas: UDL (w kN/m): M_max = wL² / 8 | V_max = wL/2 | δ_max = 5wL⁴ / 384EI Point load at center (P kN): M_max = PL / 4 | V_max = P/2 | δ_max = PL³ / 48EI
Related Calculators
More calculators selected by category and topic.
Related Tags: