Validation

Nineteen cases with known answers run through the same pipeline your studies use, and every one lands inside its tolerance.

25 of 25 within tolerance

Each bar runs from 0 to the case’s tolerance, so a shorter bar means a closer answer.

CaseKnown answerWobblErrorToleranceResultConfidence
Textbook formulas
Cantilever tip deflectionA steel bar fixed at one end with a weight at the tip, and how far the tip drops0.8016 mm0.7956 mm0.74%3%PassHigh
Cantilever bending stress at mid spanThe same steel bar, and the bending stress halfway along it30 MPa29.94 MPa0.21%3%PassHigh
Plate with a hole in tensionA flat plate with a hole in the middle, pulled in tension30.35 MPa29.89 MPa1.54%4%PassHigh
Thick walled pressure vesselA thick walled tube holding very high pressure inside231.3 MPa232.3 MPa0.43%3%PassHigh
Round shaft in torsionA round steel shaft held at one end and twisted at the other55.13 MPa55.6 MPa0.85%3%PassHigh
Cantilever under its own weightA one meter steel bar, fixed at one end, sagging under its own weight1.443 mm1.441 mm0.16%3%PassHigh
Ball dropped 300 m without air7.822 s7.822 s0.00%0.1%PassHigh
Granite sphere dropped 300 m through air56.7 m/s56.7 m/s0.00%0.1%PassHigh
Ball thrown at 30 m/s and 40 deg without air90.38 m90.38 m0.00%0.1%PassHigh
Vertical rocket at constant thrust in a vacuum412.8 m/s412.8 m/s0.00%0.1%PassHigh
Vertical rocket at constant thrust in a vacuum757.7 m757.7 m0.00%0.1%PassHigh
Payload under a 2 m parachute4.122 m/s4.122 m/s0.00%0.1%PassHigh
Industry benchmarks
NAFEMS LE1 elliptic membraneAn oval ring pulled outward around its outer edge, a standard test for stress solvers92.7 MPa92.92 MPa0.23%4%PassHigh
NAFEMS LE10 thick plate under pressureA thick oval plate pressed on its top face, a standard test for 3D stress-5.38 MPa-5.412 MPa0.59%5%PassMedium
Real parts from the bake off
Cast motor mount with a belt pull through four boltsA cast aluminum motor mount pulled by a conveyor belt through four bolts124.3 MPa123.7 MPa0.49%5%PassMedium
ABS enclosure shell pressed near a cornerThe molded plastic shell of a device, pressed with 250 N near one corner93 MPa92.98 MPa0.02%10%PassMedium
PA12 truss drone arm at full thrustA printed drone arm with truss windows, at full motor thrust and torque11.5 MPa11.49 MPa0.11%8%PassHigh
PLA shelf bracket, 0.5 mm inside cornerA printed shelf bracket with a sharp inside corner, resting against a wall78 MPa80.48 MPa3.18%8%PassHigh
PLA shelf bracket, 6 mm filletThe same shelf bracket with its inside corner rounded to 6 mm25.3 MPa26.38 MPa4.26%5%PassMedium
Heat
Conduction through a slab into convectionAn aluminum bar held at 100 C at one end and cooled by air at the other97.67 C97.67 C0.00%1%PassHigh
Aluminum cube cooling in airA small aluminum cube cooling down in air for ten minutes58.01 C58.27 C0.44%1%PassHigh
Aluminum bar whose end jumps to 120 CAn aluminum bar at 20 C whose end is suddenly held at 120 C, read 10 mm in after 2 s52.68 C52.23 C0.85%2%PassHigh
Circuits
Red LED on 5 V through 150 ohmA red LED on 5 V through a 150 ohm resistor20 mA20 mA0.00%0.5%PassHigh
RC chargingA capacitor charging through a resistor3.161 V3.161 V0.00%0.2%PassHigh
Buck converter output rippleThe output ripple of a 12 V to 5 V buck converter7.949 mV8.561 mV7.70%15%PassHigh

Every number above comes from one full run of wobbl validate, which took 29 minutes on a 2018 six core laptop, except the bar whose end jumps to 120 C, which joined in 0.1.1 and comes from a run of its own. Each case whose reference is exact for the modeled setup lands within 2%. The real parts are compared with reference models that were refined until they stopped changing, and their tolerances follow how settled those references were.

Medium confidence in this table is Wobbl naming what a number leans on, not a miss. On NAFEMS LE10 the 2 mm band that stands in for the benchmark’s line support makes a peak far above the answer, which is excluded and named. On the cast motor mount the verdict flips if the servo is treated as rigid instead of a bolt group. On the enclosure shell large deflection theory lowers the peak by 11%, so the linear answer is the conservative one, and the reference is linear too. On the filleted bracket the bonded screw bore reads nearly twice the real peak. The buck converter is compared with the ideal waveform formula, which leaves out the switch and diode drops that ngspice models, so it gets a wider tolerance.

You can run every case yourself with wobbl validate.