Point Load Beam Calculator(Bending Moment for UDL & Point Load)
Calculate beam bending moment instantly.
Calculate maximum moment and support reaction for a simply supported beam with central point load. Adjust span, load type, load value, and unit for preliminary structural checks.
🕒 Last updated: April 14, 2026
Inputs
💡Enter load applied at center
Maximum Bending Moment
50.00 kNm
Maximum moment occurs at mid-span
Support reaction: 20.00 kN (each support)
Approximate results for planning only. Verify with a professional.
Popular beam load calculator examples
Point load beam calculation
This page is set up for a central point load on a simply supported beam.
The calculator is pre-filled for this beam load use case. Change any input and the example updates from the active values.
- Formula: PL/4.
- Default point load: 40 kN.
- Outputs support reaction.
What is the purpose of this Beam Load Calculator?
This beam load calculator helps you determine the maximum bending moment in a simply supported beam subjected to different types of loads such as uniformly distributed load (UDL) and point load. It is widely used by civil engineers, structural engineers, contractors, and students for quick structural analysis and preliminary design.
In real construction projects, beams are subjected to various loads including slab loads, wall loads, and live loads. Understanding how these loads affect bending moment is essential for safe and efficient structural design.
Using this calculator helps you:
- Estimate bending moment quickly
- Understand load behavior on beams
- Perform preliminary structural calculations
- Verify manual calculations
- Plan safe and efficient beam design
This calculator follows standard structural engineering formulas widely used in design practice. It is suitable for quick estimation and educational purposes.
How does this beam load calculator work?
The bending moment in a beam depends on the type of load and the span length of the beam. This calculator uses standard formulas for simply supported beams under UDL and point load.
Step 1 — Determine Beam Length
Enter the span (length) of the beam. This is the distance between the two supports.
Step 2 — Identify Load Type
Choose the type of load acting on the beam:
- UDL (Uniformly Distributed Load) — Load spread evenly along the beam
- Point Load — Load applied at the center of the beam
Step 3 — Apply Bending Moment Formula
For a simply supported beam, the maximum bending moment is calculated as:
For UDL:
For Point Load (center):
Where:
- M — Maximum bending moment (kNm)
- w — Load per unit length (kN/m)
- P — Point load (kN)
- L — Beam length (m)
Calculation example for Point Load Beam Calculator
This example uses the active span, load type, and load value from this programmatic calculator page.
- Beam Length = 5 m
- Load Type = Point load
- Load = 40 kN
Step 1 - Convert beam span
Length = 5 m
Step 2 - Calculate maximum bending moment
Moment = 50 kN-m
Step 3 - Calculate support reaction
Support Reaction = 20 kN
For this page, the active inputs estimate a maximum moment of 50 kN-m and support reaction of 20 kN.
Example Beam Load Calculation
Let’s calculate bending moment for a simply supported beam:
- Beam Length = 6 meters
- Load Type = UDL
- Load = 5 kN/m
Step 1 — Apply Formula
M = (5 × 6²) / 8
Step 2 — Calculate
M = (5 × 36) / 8 = 22.5 kNm
This value represents the maximum bending moment at the center of the beam.
Beam Load Formula Comparison
| Load Type | Formula | Max Location |
|---|---|---|
| UDL | (w × L²) / 8 | Center |
| Point Load | (P × L) / 4 | Center |
When should you use this beam calculator?
- Preliminary beam design calculations
- Estimating bending moments for structural elements
- Checking load effects on beams
- Educational and academic purposes
- Quick verification of manual calculations
Limitations of beam load calculation
This calculator is designed for simply supported beams only. It does not account for:
- Fixed or cantilever beams
- Multiple or varying loads
- Shear force calculations
- Deflection analysis
- Complex structural conditions
For detailed structural design, including reinforcement design and safety checks, always refer to structural drawings and consult a qualified structural engineer.
These formulas are based on standard structural engineering principles used in beam analysis.
Disclaimer: This calculator provides approximate results for planning and estimation purposes only. Actual requirements may vary based on site conditions, materials, workmanship, and local building regulations. Always consult a qualified engineer, architect, or construction professional before making final decisions.