Failure intensity

Weibull Hazard Rate Calculator

Estimate the conditional failure intensity at a specific item age from a Weibull life model.

Age and model inputs

Keep age and characteristic life in the same unit.

What this calculator does

The Weibull hazard function is h(t) = (β/η)(t/η)^(β−1). It estimates the instantaneous failure intensity conditional on survival to age t.

When to use it

Use it to discuss age-related risk, inspection timing, or whether a failure mode shows early-life, random, or wear-out behavior.

Inputs and formula

β below one indicates declining intensity, β near one constant intensity, and β above one increasing intensity. η and age require identical time units.

Worked example and interpretation

With β = 2, η = 1,000 hours, and age 500 hours, the hazard is 0.001 failures per hour. It is not the chance of failure over the next hour; probability requires integrating across a mission.

Practical notes and limitations

A hazard curve should be traced to a failure mode, not treated as a generic asset-health score. Review the Weibull analysis guide and compare mission risk with Weibull reliability.