Which beam case is modeled?

A simply supported beam with a centered point load: δ = F L³ ÷ (48 E I). Enter Young’s modulus in pascals (steel ≈ 200 GPa) and the second moment of area in m⁴.

What does Reynolds number tell me?

Below roughly 2,300 the flow is laminar, above roughly 4,000 it is turbulent, and in between it is transitional. It is dimensionless.

How is gear ratio defined here?

Ratio = driven teeth ÷ driver teeth, so a ratio above 1 reduces speed and multiplies torque. Output speed = input speed ÷ ratio.

What units do results use?

SI: pascals for stress, meters for deflection, rpm for shaft speeds, watts for power - with MPa shown alongside stress for convenience.

Engineering Calculator - Stress, Deflection, Gears & Fluid Flow

Mechanical and structural formulas with full working: stress, strain, beam deflection, gear ratios, flow velocity, shaft power and Reynolds number.

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Core Engineering Formulas, Instantly Solved

AiLoveKit's engineering calculator brings together the quick checks engineers and students run daily: is the stress within limits, how far will that beam deflect, what speed comes out of this gear train, is the flow laminar or turbulent.

Built for Real Design Checks

Transparent math - every result shows the substituted values so you can verify the working.
Sensible defaults - fields preload with typical values (steel modulus, common loads) so results appear immediately.
SI throughout - pascals, meters, watts and rpm, with MPa shown alongside stress.

Pair it with the Physics Calculator for energy and power fundamentals, or estimate project costs in AiLoveKit Build.