Solid Mechanics
Beam Deflection Simulator
A variable-controlled beam laboratory with animated load sweep, live reaction forces, deformed-shape visualization, moment heat coloring, charts, equations, and exportable node data.
Model
Simply supported
Point load
Mesh
73 nodes
Live sampled
Output
CSV
Export ready
Parameters
Material preset
Animated load sweep
Engineering Model
Reactions
R1 = P(L-a)/L, R2 = Pa/L
Deflection for x <= a
y = Pbx(L^2 - b^2 - x^2) / 6LEI
Deflection for x >= a
y = Pa(L-x)(L^2 - a^2 - (L-x)^2) / 6LEI
Maximum deflection occurs near x = 3.00 m for the current load position.
Peak bending moment occurs near x = 3.00 m.
Variable-Linked Diagram
Max Deflection
2.842mm
Max Moment
18.00kN*m
Left Reaction
6.00kN
Right Reaction
6.00kN
Deflection and Moment
Node Results
| Position x (m) | Deflection (mm) | Moment (kN*m) | Shear (kN) |
|---|---|---|---|
| 0.00 | 0.000 | 0.00 | 6.00 |
| 0.33 | 0.472 | 2.00 | 6.00 |
| 0.67 | 0.932 | 4.00 | 6.00 |
| 1.00 | 1.368 | 6.00 | 6.00 |
| 1.33 | 1.770 | 8.00 | 6.00 |
| 1.67 | 2.125 | 10.00 | 6.00 |
| 2.00 | 2.421 | 12.00 | 6.00 |
| 2.33 | 2.647 | 14.00 | 6.00 |
| 2.67 | 2.791 | 16.00 | 6.00 |
| 3.00 | 2.842 | 18.00 | -6.00 |
| 3.33 | 2.791 | 16.00 | -6.00 |
| 3.67 | 2.647 | 14.00 | -6.00 |
| 4.00 | 2.421 | 12.00 | -6.00 |
| 4.33 | 2.125 | 10.00 | -6.00 |
| 4.67 | 1.770 | 8.00 | -6.00 |
| 5.00 | 1.368 | 6.00 | -6.00 |
| 5.33 | 0.932 | 4.00 | -6.00 |
| 5.67 | 0.472 | 2.00 | -6.00 |
| 6.00 | 0.000 | 0.00 | -6.00 |