Column Axial Stress

Compute axial compressive stress σ of a column from axial load P and area A.

Inputs

Formula

σ = P/A
Slender columns also need stability checks.
PPcolumn axial
Column Axial Stress schematic

Fundamentals

Compute axial compressive stress σ of a column from axial load P and area A.

This tool computes Column Axial Stress from the formula: σ = P/A

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

Axial load PInput parameter
Area AInput parameter
Compressive stress σOutput result

How to use

  1. Fill in Axial load P, Area A in the Inputs section (watch the unit on each field).
  2. Click Calculate; the tool evaluates the formula shown above.
  3. Read Compressive stress σ in the results area.

Formula · Worked Example · Knowledge

Formula

核心计算关系:σ = P/A

输入变量:

  • Axial load P P — kN
  • Area A A — mm²

输出结果:

  • Compressive stress σ sigma — MPa

假设/适用:Earth pressure uses Rankine/Coulomb active assumptions; passive & surcharge handled separately.

Worked Example

根据公式 σ = P/A,取 Axial load P = 500 kN;Area A = 40,000 mm²。

代入计算得:Compressive stress σ = 12.5 MPa。

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

ParameterSymbolUnitDefault
Axial load P (kN)PkN500
Area A (mm²)Amm²40000

Outputs

ResultSymbolUnit
Compressive stress σsigmaMPa

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: σ = P/A
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