Postyield

V1.5 — Axially loaded column

A column under a purely axial compressive load — axial stiffness and force, isolated from any bending.

Time
About 5 minutes
Level
All levels
You'll need
None — this is a reference document
You're done when
You can see how V1.5 compares to its reference
On this page
  1. Description
  2. Reference
  3. Model
  4. Comparison
  5. Conclusion

← Verification — Linear (Frames & Trusses)

V1.5 — Axially loaded column

Exact

Description

A column under a purely axial compressive load — axial stiffness and force, isolated from any bending.

Reference

δ = PL/(AE) (closed form).

Model

A single elastic frame member, fixed at the base, loaded with a purely axial force at the free end (no transverse load), isolating axial stiffness from bending.

Axial load, P100 kip
Length, L144 in
Elastic modulus, E29,000 ksi
Cross-section area, A288 in²

Comparison

QuantityReferencevfopro% diffStatus
Top shortening (in)-0.0017-0.0017+0.00%Exact
Base reaction (kip)1001000.00%Exact
Axial force, end i (kip)1001000.00%Exact
Axial force, end j (kip)-100-1000.00%Exact
Top lateral displacement (in)00n/aExact

Conclusion

Every reported quantity matched the closed-form value to at least 6 significant figures.

Last updated September 22, 2026 · applies to vfopro 20260922.0.0 or later