Beam & Column Structural Bench

Goal

Section to deflection to failure margin.

Instrument chain

1. 01
   Moment of Inertia / Section Properties Calculator

   I,S,r

   VERIFIED
2. 02
   Composite Section Builder

   built-up sections

   VERIFIED
3. 03
   Parallel Axis Theorem Calculator

   transfers

   VERIFIED
4. 04
   Beam Deflection — Cantilever, Point Load at Free End

   case

   VERIFIED
5. 05
   Beam Deflection — Cantilever, UDL

   case

   VERIFIED
6. 06
   Beam Deflection — Fixed-Fixed, Point/UDL

   case

   VERIFIED
7. 07
   Beam Deflection — Propped Cantilever

   case

   VERIFIED
8. 08
   Column Buckling — Euler Critical Load

   slender columns

   VERIFIED
9. 09
   Johnson Parabolic Formula (Intermediate Columns)

   intermediate columns

   VERIFIED
10. 10
    Axial Stress & Strain Calculator

    axial

    VERIFIED
11. 11
    Von Mises / Tresca Failure Criteria Checker

    failure

    VERIFIED
12. 12
    Thermal Stress Calculator

    thermal loads

    VERIFIED

Handoffs and cross-checks

Section I feeds every beam case; slenderness ratio routes Euler vs Johnson; stresses meet at von Mises.

PointGuard stance

Route by slenderness against the critical ratio — Euler beyond, Johnson below; check BOTH von Mises and Tresca (Tresca governs conservatively).

Sources and evidence

These pointers bind the page to evidence. They do not grant authority or collapse verification into deployment.

• INSTRUMENT_COMBOS.json
• VERIFIED_LEDGER.json