Column buckling: Euler and Johnson — a TI-84 Plus CE program

By E-Code · updated 2026-09-26

COLUMN is a TI-BASIC program for the TI-84 Plus CE. Critical buckling stress and load of a column for the four classic end conditions: slenderness KL/r against the transition Cc, Euler for long columns and the Johnson parabola for intermediate ones, and the allowable load for a safety factor.

What it asks for and what it shows

It asks for 6 values at its prompts, after you pick option 1 from its menu. In the example below it shows KL/R, CC, SCR MPA, PCR KN, PALLOW, EULER (LONG).

Example run

One of its oracle test cases: “pinned steel strut, long: Euler”. The inputs are typed in order, and the results are the values the case expects on the screen.

Step	Value
You enter
Menu	option 1
Input 1	200
Input 2	250
Input 3	20
Input 4	150
Input 5	4
Input 6	2
The screen shows
`KL/R=`	146.0593487
`CC=`	125.6637061
`SCR MPA=`	92.52754126
`PCR KN=`	185.0550825
`PALLOW=`	92.52754126
Text	EULER (LONG)

How it's checked

6 test cases, each checked against an independent method. Replayed key by key on a virtual TI-84 Plus CE, they make 43 checks.

How E-Code checks every program

Run it or put it on your calculator

Open the library in the TI-84 Plus CE calculator and pick “Column buckling: Euler and Johnson” (COLUMN).
Put it on your own calculator with a computer and a USB cable, or type it in by hand.

Related programs

All TI-84 Plus CE engineering programs · All TI-84 Plus CE programs