Reference calculator #001
Gear Center Distance Calculator
Find nominal center distance, pitch diameters, and tooth-count ratio for a standard spur-gear pair.
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Mechanical Engineering Calculators
Static, browser-based calculators with explicit units, engineering checks, worked examples, and versioned validation.
Reference calculator #002
Gear Module / Diametral Pitch Converter
Convert module and diametral pitch in either direction and cross-check circular pitch.
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Gear Ratio Calculator
Calculate ratio, driven RPM, speed relationship, and direction for one external gear pair.
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RPM / Torque / Power Calculator
Solve steady shaft power, torque, or RPM with metric and imperial units.
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Spur Gear Dimensions Calculator
Calculate pitch, outside, root, and base diameters from module or DP, tooth count, and pressure angle.
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Gear Mesh Force Calculator
Calculate nominal tangential, radial, normal, and axial forces for one external spur-gear mesh.
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Gear Backlash Calculator
Convert circular backlash and center-distance increase, then compare normal and per-gear angular backlash.
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Planetary Gear Ratio Calculator
Solve simple planetary speed, direction, planet teeth, and equal-spacing phasing for all six fixed/input combinations.
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Roller Chain Length Calculator
Calculate theoretical links, recommended even links, nominal chain length, and achieved center distance.
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V-Belt Length / Center Distance Calculator
Solve open-drive V-belt datum length or center distance with pulley wrap and preliminary layout checks.
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Belt Speed / Pulley RPM Calculator
Calculate ideal belt speed from pulley reference diameter and RPM, or solve pulley RPM from belt speed.
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Pulley Speed Ratio / Driven RPM Calculator
Calculate ideal driven RPM, speed ratio, speed multiplier, direction, and belt speed for one open two-pulley drive.
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Timing Belt Length / Center Distance Calculator
Calculate exact synchronous-belt pitch length, whole belt tooth count, adjusted center distance, wrap, and teeth in mesh.
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Bearing L10 Basic Rating Life Calculator
Calculate ISO 281 basic rating life in revolutions and constant-speed operating time for ball or roller bearings.
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Bearing Equivalent Dynamic Load Calculator
Calculate P from radial and axial loads using verified bearing-catalog X and Y factors, then continue to L10 life.
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Bearing Static Safety Factor Calculator
Calculate s₀, static rating utilization, required C₀, and margin from verified C₀ and P₀ values.
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Bearing Equivalent Static Load Calculator
Calculate P₀ from paired maximum loads, verified X₀/Y₀ factors, and the exact radial-floor rule.
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Bearing Required Dynamic Load Rating Calculator
Calculate the minimum ISO 281 basic dynamic rating C required for a target L10 life from verified P and constant speed.
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Bearing Variable Duty Equivalent Dynamic Load Calculator
Combine stepped bearing loads, speeds, and durations into revolution-weighted P_eq and time-weighted mean RPM.
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Shaft Torsional Stress / Angle of Twist Calculator
Calculate nominal elastic shear stress, twist, polar section properties, and stiffness for solid or hollow circular shafts.
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Shaft Diameter Calculator — Torsional Stress / Twist
Size a solid or fixed-ratio hollow circular shaft from user-established nominal stress and elastic twist limits.
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Shaft Combined Bending and Torsion Calculator
Calculate nominal component, principal, maximum-shear, von Mises, and Tresca stresses for a circular shaft.
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Shaft Bearing Reactions / Bending Moment Calculator
Calculate ideal two-bearing reactions, maximum shear, and the controlling bending-moment region for up to two transverse point loads.
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Simply Supported Shaft Deflection / Slope Calculator
Calculate elastic deflection, its location, and bearing-center slopes for a uniform circular shaft with up to two transverse point loads.
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Shaft Critical Speed / Whirling Calculator
Estimate the first lateral critical speed from gravity static deflection and compare operating RPM with a user-selected review band.
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Rayleigh Multi-Mass Shaft Critical Speed Calculator
Estimate first lateral critical speed from up to four lumped rotating weights and their total gravity static deflections.
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Dunkerley Multi-Mass Shaft Critical Speed Calculator
Combine up to four isolated single-mass gravity-deflection cases into a conservative first lateral critical-speed estimate.
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Shaft Key Shear / Bearing Stress Calculator
Check nominal rectangular-key shear and bearing stress, utilization, and the governing required effective length.
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Rigid Flange Coupling Bolt Shear Calculator
Check equal-radius fitted coupling bolts in nominal direct single shear and calculate continuous required diameter.
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Flange Coupling Bolt Bearing and Edge Shear-Out Calculator
Check projected flange-hole bearing and directional two-plane edge shear-out, including governing torque capacity and required thickness.
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Flange Coupling Bolt Preload and Slip Resistance Calculator
Check retained clamp load and ideal gross-slip torque capacity with uniform-pressure or uniform-wear annular contact.
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Bolted Joint External Load Sharing and Separation Calculator
Compare linear preloaded-joint load sharing and projected separation with a separate conservative minimum-preload screen.
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Bolt Axial Stiffness Calculator
Calculate segmented linear-elastic bolt stiffness from shank diameter, tensile stress area, effective lengths, and modulus.
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Bolted Joint Clamped-Member Stiffness Calculator
Calculate symmetric homogeneous compression-zone stiffness using conical frusta and an explicit maximum-diameter boundary.
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Multi-Layer Bolted Joint Clamped-Member Stiffness Calculator
Calculate three-layer compression-path stiffness with separate layer moduli, unequal bearing faces, segmented frusta, and an explicit diameter limit.
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Bolted Joint Thermal Preload Change Calculator
Estimate signed preload change from differential bolt and member thermal expansion using compatible effective stiffness and thermal-path inputs.
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Bolt Torque / Preload Calculator
Estimate bounded initial preload or required nominal torque using a validated nut factor, running-torque range, torque tolerance, and preload variation.
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