CC

Engineering

Column Capacity Calculator

Estimate gross axial resistance, a simplified slenderness reduction, delivered column capacity, utilization, reserve and whole-column requirement.

Effective unsupported length-
Modeled slenderness ratio-
Simplified slenderness reduction-
Gross short-column capacity-
Modeled capacity per column-
Total installed modeled capacity-
Capacity minus entered load-
Demand utilization-
Exact columns required-
Whole identical columns required-

Decision view

Column load path and slenderness screen

Column load path and slenderness screenThe axial design load is placed on a vertical member whose entered material-area resistance is reduced by slenderness and the capacity factor.
Exact scenario comparisonUnsupported length (m) changes while all other entered assumptions remain constant.
Unsupported length (m)Effective unsupported lengthModeled slenderness ratioSimplified slenderness reductionGross short-column capacityModeled capacity per columnTotal installed modeled capacityCapacity minus entered loadDemand utilizationExact columns requiredWhole identical columns required

Period-by-period detail

Unsupported-length capacity cases

Unsupported length changes while section properties, stress and installed column count remain fixed.

How to use Column Capacity Calculator

  1. Use consistent force and stress units.
  2. Enter the governing unsupported length and effective-length factor.
  3. Treat the result as a screening check only.

Calculator guide

Understanding Column Capacity Calculator

A preliminary column screen compares factored axial load with material-area resistance reduced for slenderness and the entered design factor.

Area provides short-column strength Material stress times section area sets the gross reference.
Slenderness reduces capacity Longer unbraced members are more stability-sensitive.
Demand needs reserve Utilization above 100% exceeds the simplified delivered capacity.

Calculation method

How the calculation works

Compare entered column axial demand with a transparent area-stress reference reduced by a simplified slenderness factor. Section area multiplied by allowable material stress creates short-column resistance; unsupported length and radius of gyration create slenderness, which applies a bounded reduction before the safety factor.

Axial load path

Place the design load on the slender column

The elevation shows unsupported length, section resistance, derating and capacity reserve.

Factored demand Entered axial design load.
Short resistance Area times allowable stress.
Slenderness reduction Simplified stability derating.
Delivered capacity Screening resistance after factors.

Worked situations

Practical examples

  • A longer unbraced column can have lower delivered capacity without changing its section area.
  • Adding identical columns divides the entered axial demand.
  • A low utilization result does not replace connection or stability checks.

Better inputs

Useful tips

  • Verify effective length from the actual frame.
  • Use code-defined material resistance.
  • Check combined axial load and bending separately.

Before relying on the result

Limitations and common mistakes

  • This is not a code design.
  • Local buckling, residual stress, imperfections, second-order effects, biaxial bending, fire, connections and load combinations are excluded.
  • A licensed engineer must verify safety-critical work.

Reference

Key terms

Slenderness ratio
Effective unsupported length divided by radius of gyration.
Gross axial resistance
Section area multiplied by entered allowable stress.
Utilization
Design load divided by delivered modeled capacity.

Important note

Calculated from the entered values using the displayed engineering relationship. Confirm design values, load cases, safety factors, standards, and field conditions with a qualified professional.

Frequently asked questions

Can this approve a structural column?

No. It is only a preliminary comparison.

What radius of gyration should be used?

Use the governing weak-axis value for the actual section.

Does it include bending?

No. Beam-column interaction requires a code-based check.