Engineering calculators

Reliability Engineering Toolkit

Plan demonstration tests, estimate semiconductor and system reliability, evaluate life data and compare accelerated exposures. Select a calculator, enter engineering inputs and review the model assumptions.

01 / Test Planning

RDT Sample Size & Test Time

Calculate reliability demonstration test sample size or test time from field mission reliability, confidence, allowable failures and optional Weibull assumptions.

Open Calculator
02 / Test Planning

FIT Rate & HTOL Confidence

Estimate observed and one-sided upper FIT from HTOL units, hours, failures, acceleration and confidence.

Open Calculator
03 / Test Planning

DPPM / PPM Sample Size

Plan zero-defect sample sizes for a target defective-parts-per-million rate and confidence, or evaluate an observed zero-defect sample.

Open Calculator
04 / Accelerated Testing

Arrhenius Acceleration Factor

Calculate Arrhenius thermal acceleration factor and equivalent field time from activation energy, field temperature and test temperature.

Open Calculator
05 / Life & Availability

Weibull Reliability & B-Life

Calculate Weibull reliability at time and B-life percentile from beta and characteristic life eta.

Open Calculator
06 / Life & Availability

Weibull Parameter Estimation

Fit a two-parameter Weibull distribution to exact failure times and right-censored observations using maximum likelihood.

Open Calculator
07 / Life & Availability

MTBF, MTTR & Availability

Calculate steady-state inherent availability, expected downtime, failure and repair rates from MTBF and MTTR.

Open Calculator
08 / Systems & Design

Reliability Block Diagram

Calculate series, parallel and k-out-of-n mission reliability for independent, identical components.

Open Calculator
09 / Accelerated Testing

Eyring Acceleration Factor

Calculate thermal Eyring acceleration and equivalent field time with a configurable temperature prefactor.

Open Calculator
10 / Accelerated Testing

Inverse Power Law Acceleration Factor

Calculate inverse-power-law acceleration factor and equivalent exposure from field stress, test stress and exponent n.

Open Calculator
11 / Accelerated Testing

Temperature-Humidity Acceleration Factor

Calculate combined temperature and humidity acceleration with reciprocal-humidity or Peck models.

Open Calculator
12 / Accelerated Testing

Temperature-Nonthermal Acceleration Factor

Calculate combined Arrhenius and inverse power acceleration for temperature and a nonthermal stress.

Open Calculator
13 / Life & Availability

MTBF, FIT & Reliability

Convert MTBF or MTTF into reliability, failure probability, constant hazard rate and FIT under an exponential life model.

Open Calculator
14 / Accelerated Testing

Coffin-Manson Thermal Cycling Acceleration Factor

Estimate simplified thermal-cycle acceleration from field and test temperature ranges and a Coffin–Manson fatigue exponent.

Open Calculator
15 / Accelerated Testing

Norris-Landzberg Thermal Cycling Acceleration Factor

Calculate classical Norris-Landzberg cycle acceleration and equivalent field cycles from temperature excursion, maximum solder-joint temperature and cycling frequency.

Open Calculator
16 / Systems & Design

Junction Temperature & Thermal Resistance

Calculate device junction temperature, temperature rise and power or thermal-resistance limits from ambient temperature, dissipation and effective θJA.

Open Calculator
17 / Systems & Design

FMEA Risk Priority Number

Calculate and compare before-and-after FMEA risk priority numbers using severity, occurrence and detection ratings from 1 to 10.

Open Calculator
18 / Systems & Design

Black’s Electromigration

Estimate current-density and temperature acceleration for interconnect electromigration using Black’s equation.

Open Calculator

Engineering context

Use a model supported by evidence.

Choose parameters that represent your population, mission profile and failure mechanism. Each page identifies its inputs, units and assumptions so the calculation can support reliability and qualification planning.

These calculations do not establish that a model is valid for a particular product. Confirm the stress range and failure mechanism before applying an acceleration factor or reliability prediction.

Explore Reliability Engineering

Further reading

Book References

Practical Reliability Engineering

Patrick D. T. O'Connor and Andre V. Kleyner

5th Edition. Wiley, 2012.

ISBN 9780470979822

Book details