Advanced Geometry
Overhanging Beam Deflection Calculator
Solve beam deflection for a member with interior supports and overhanging ends using editable support locations and load inputs.
Use meters for geometry, kN for point load, kN/m for distributed load, GPa for E, and cm^4 for I.
Calculation Inputs
Beam Diagram
Calculation Basis
Assumptions & Limits
- The model represents 2D bending response only and does not include torsion.
- Supports are idealized as analytical boundary conditions.
- Construction stages, nonlinearity, and settlement effects need a more detailed model.
Reference Basis
- Documentation: Advanced beam methodology
- Documentation: Engineering Review
- Matrix stiffness method references
- Elastic beam theory references for validation checks
Shear Force Diagram
Bending Moment Diagram
Response Summary
| Left support | V = 7.26 kN |
| Right support | V = 18.24 kN |
Calculation Method
Beam model
General form
K d = F
Current model
Supports: Left support @ 1.20 m, Right support @ 5.60 m. E = 210.0 GPa, I = 7,000 cm^4.
Result
Beam with interior supports and overhang segments
Load setup
General form
F = F_point + F_distributed
Current model
P = 8.00 kN @ 6.20 m. w: 2.50 to 2.50 kN/m over 0.00-7.00 m.
Result
Max deflection = 0.49 mm
Internal response
General form
M(x) = E I y''(x), V(x) = dM/dx
Current model
Max |M| = 7.23 kN*m, max |V| = 11.25 kN.
Result
Reactions solved at 2 support locations
Model Assumptions
- The beam has two interior simple supports and free overhang segments.
- The current setup combines one point load with an optional full-span uniform load.
- Elastic Euler-Bernoulli beam behavior is assumed.
Related Tools
- Use this page when standard one-span calculators no longer fit because the beam extends beyond one or both support lines.
- Support positions are editable, so users can test different overhang lengths without leaving the page.
- If the real structure includes partial restraint, continuous framing, or nonlinear support behavior, this remains a preliminary beam model.