E-CodeMohr's circle: stress transformation — a TI-84 Plus CE program
MOHR is a TI-BASIC program for the TI-84 Plus CE. Plane stress σx, σy, τxy: the stresses on a face rotated by any angle, the principal stresses and their angle, the maximum in-plane shear, the circle's center, and the von Mises stress.
What it asks for and what it shows
It asks for 4 values at its prompts. In the example below it shows SX ROT, SY ROT, TXY ROT, S1, S2, THETA P, TAU MAX, CENTER, VON MIS.
Example run
One of its oracle test cases: “textbook element, rotate 30°”. The inputs are typed in order, and the results are the values the case expects on the screen.
| Step | Value |
|---|---|
| You enter | |
| Input 1 | 80 |
| Input 2 | ⁻40 |
| Input 3 | 30 |
| Input 4 | 30 |
| The screen shows | |
SX ROT= | 75.98076211 |
SY ROT= | -35.98076211 |
TXY ROT= | -36.96152423 |
S1= | 87.08203932 |
S2= | -47.08203932 |
THETA P= | 13.28252559 |
TAU MAX= | 67.08203932 |
CENTER= | 20 |
VON MIS= | 117.8982612 |
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 44 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 “Mohr's circle: stress transformation” (MOHR).
- Put it on your own calculator with a computer and a USB cable, or type it in by hand.
Related programs
- Tensile test analysis
- RC circuit charging transient
- Cantilever beam deflection
- Reynolds number / flow regime
- Three-loop circuit (mesh currents)
All TI-84 Plus CE engineering programs · All TI-84 Plus CE programs