SS Beam Point Load
Compute reactions R and mid-span max moment Mmax of a simply supported beam under centre point load P.
Inputs
Formula
R = P/2; Mmax = P·L/4
Centre load makes mid-span moment maximal.
Fundamentals
Compute reactions R and mid-span max moment Mmax of a simply supported beam under centre point load P.
This tool computes SS Beam Point Load from the formula: R = P/2; Mmax = P·L/4
History
Soil and structural mechanics were systematised in the 19th century, supporting modern civil design.
Engineering applications
Used for retaining, foundation and structural member design.
Glossary
| Point load P | Input parameter |
| Span L | Input parameter |
| Reaction R | Output result |
| Max moment Mmax | Output result |
How to use
- Fill in Point load P, Span L in the Inputs section (watch the unit on each field).
- Click Calculate; the tool evaluates the formula shown above.
- Read Reaction R, Max moment Mmax in the results area.
Formula · Worked Example · Knowledge
Formula
核心计算关系：R = P/2; Mmax = P·L/4
输入变量：
- Point load P
P— kN - Span L
L— m
输出结果：
- Reaction R
R— kN - Max moment Mmax
Mmax— kN·m
假设/适用：Earth pressure uses Rankine/Coulomb active assumptions; passive & surcharge handled separately.
Worked Example
根据公式 R = P/2; Mmax = P·L/4，取 Point load P = 10 kN；Span L = 4 m。
代入计算得：Reaction R = 5 kN；Max moment Mmax = 10 kN·m。
Key Points
- Earth pressure uses Rankine/Coulomb active assumptions; passive & surcharge handled separately.
- Check both strength and stability (overturning, sliding).
- Support reactions from static equilibrium; continuous structures need force/displacement method.
Parameters
Inputs
| Parameter | Symbol | Unit | Default |
|---|---|---|---|
| Point load P (kN) | P | kN | 10 |
| Span L (m) | L | m | 4 |
Outputs
| Result | Symbol | Unit |
|---|---|---|
| Reaction R | R | kN |
| Max moment Mmax | Mmax | kN·m |
Applications
- Simply-supported/cantilever reactions
- Structural equilibrium analysis
- Shear & moment distribution
FAQ
What formula does this tool use?
This tool computes per ISO / AGMA / ASME standard formulas: R = P/2; Mmax = P·L/4
How accurate are the results?
Results match input precision, based on SI units and common engineering approximations; for critical duty re-check with a safety factor.
Where is it used?
Simply-supported/cantilever reactions