E-CodeMoment distribution (Hardy Cross) steps — a TI-84 Plus CE program
MOMDIST is a TI-BASIC program for the TI-84 Plus CE. A continuous beam of 2 to 4 spans with uniform loads, each end fixed or pinned. It shows the work the Hardy Cross way: stiffness 4EI/L, distribution factors at each joint, fixed-end moments, the member-end moments after each of the first cycles of balancing and carry-over, the final end moments and the support reactions.
What it asks for and what it shows
It asks for 6 values at its prompts. In the example below it shows AB , BA , BC , CB , CD , DC , RA, RB, RC, RD, ΣR=ΣWL, STIFFNESS 4EI/L, DISTRIB FACTORS, FIXED-END MOM, CYCLE 1, BALANCE+CARRY, REACTIONS.
Example run
One of its oracle test cases. The inputs are typed in order, and the results are the values the case expects on the screen.
| Step | Value |
|---|---|
| You enter | |
| Input 1 | 3 |
| Input 2 | 1 |
| Input 3 | 0 |
| Input 4 | {6,8,6} |
| Input 5 | {1,1,1} |
| Input 6 | {20,15,20} |
| The screen shows | |
AB | -54.71698113 |
BA | 70.56603774 |
BC | -70.56603774 |
CB | 86.98113208 |
CD | -86.98113208 |
DC | 0 |
RA= | 57.35849057 |
RB= | 120.5896226 |
RC= | 136.5487421 |
RD= | 45.50314465 |
ΣR=ΣWL= | 360 |
| Text | STIFFNESS 4EI/L |
| Text | DISTRIB FACTORS |
| Text | FIXED-END MOM |
| Text | CYCLE 1 |
| Text | BALANCE+CARRY |
| Text | REACTIONS |
How it's checked
4 test cases, each checked against an independent method. Replayed key by key on a virtual TI-84 Plus CE, they make 73 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 “Moment distribution for a continuous beam, step by step” (MOMDIST).
- Put it on your own calculator with a computer and a USB cable, or type it in by hand.
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- Cantilever beam deflection
All TI-84 Plus CE engineering programs · All TI-84 Plus CE programs