Engineering Design Calculators
Professional-grade mechanical calculators for shaft design, bolted joints, bearings, beams, gears, and manufacturing. All methods traceable to ISO, ASME, VDI, DIN, and AGMA standards.
Helical Compression Spring Design Calculator
Design and verify helical compression springs evaluating spring rate, solid height, Wahl factor corrected stresses, buckling risks, and natural surge frequency per Shigley's Mechanical Engineering Design.
AGMA/ISO Helical Gear Sizing
Calculate standard helical gear dimensions, pitch, module, addendum, dedendum, and center distance for parallel axis helical gears per ISO 21771 / AGMA.
Beam Deflection & Bending Stress PRO Calculator
Structural & mechanical beam analysis suite calculating deflection, bending moments, shear forces, flexural & shear stresses, support reactions, AISC 360/Eurocode 3 serviceability limits, dynamic cross-section builder, and material yield safety factors.
Key & Splines Shear Strength Calculator
Calculate shear strength of square/rectangular keys and involute splines per AGMA 2001 and DIN 3271 standards for keyed shaft connections.
AGMA 2001 Gear Strength Calculator
Calculate gear tooth bending strength (Lewis method) and surface pitting durability per AGMA 2001-B88 for spur and helical gears. Validates against ISO 6336 limits.
Area Moment of Inertia & Section Properties PRO Calculator
Calculate second moment of area (Ix, Iy), polar moment of inertia (Jz), centroid (x̄, ȳ), elastic and plastic section moduli (Sx, Sy, Zx), radii of gyration (rx, ry, r_min), and Mohr's Circle principal moments (Iu, Iv) for 9 geometric cross-sections and standard steel shapes per AISC 15th/16th Ed., Eurocode 3 (EN 1993-1-1), and Roark's Formulas.
Hydrodynamic Plain Journal Bearing & Lubrication PRO Calculator
Design and verify hydrodynamic plain journal bearings evaluating Sommerfeld characteristic number (S), minimum oil film thickness (h₀), eccentricity ratio (ε), Raimondi-Boyd numerical coefficients, ASTM D341 viscosity, friction power loss, side leakage flow, thermal equilibrium temperature rise (ΔT), and rotordynamic oil whirl stability screening per DIN 31652, ISO 7902-1/2/3, API 613 / API 617, and Shigley 11th Ed.
Shaft Diameter Calculator (Torsion)
Calculate required minimum shaft diameter under pure torsional loading for solid and hollow shafts.
Shaft Combined Bending & Torsion
Calculate required shaft diameter based on ASME B106.1M fatigue criteria combining bending and torsional moments.
Bearing L10 Fatigue Life
Determine rating life L10 in hours or revolutions for ball and roller bearings under constant radial loads.
ISO 281 Bearing Dynamic Load Life Calculator
Calculate bearing dynamic load rating, equivalent load, and L10/Average life for ball and roller bearings per ISO 281:206. Includes relubrication life adjustment.
Shaft Keyway & Parallel Key Sizing
Professional sizing for parallel keys and shaft keyways based on DIN 6885-1:2021-11 and ASME B17.1-1967 (S2023). Evaluates shear and bearing stress per Shigley's Mechanical Engineering Design.
Hydraulic Cylinder Design & Sizing Calculator
Calculate push and pull forces, required bore sizing, extend/retract velocities, hydraulic pump power, and ideal Euler rod column buckling screening per ISO 6020/2 & NFPA (note: full certified cylinder buckling analysis requires ISO/TS 13725).
Engineering Unit Converter
Convert units for Length, Mass, Area, Volume, Force, Pressure, Torque, Power, Speed, and Temperature.
Material Weight Calculator
Determine the structural weight of metal and plastic plates, bars, tubes, and pipes using density values.
Sheet Metal Bend Allowance & Deduction
Evaluate flat pattern dimension factors including bend allowance, bend deduction, and K-factor calibration.
Machining Time & Cost Estimator
Calculate feed rates, milling or turning cut durations, tool wear life costs, and overall machining amortizations.
Speeds & Feeds PRO & Tool Life Calculator
Calculate spindle speed (RPM), table feed rate, material removal rate (MRR), spindle cutting power (kW/HP), torque, Taylor tool life (ISO 3685), radial chip thinning (RCTF), and reverse machining parameters.
Thermal Expansion & Thermal Stress PRO Calculator
Engineering calculator for linear and volumetric thermal expansion, constrained thermal stress (σ_th = E·α·ΔT), and expansion gap clearance analysis across standard metals and alloys.
Pipe Flow & Darcy-Weisbach Pressure Drop PRO Calculator
Calculate major friction head loss (Darcy-Weisbach), Colebrook-White friction factor (f), Reynolds number, minor fitting losses (ΣK), and required pump shaft power across ASME B36.10M pipe schedules.
GD&T Interpretation, Bonus Tolerance & Stack-Up PRO Calculator
Calculate Maximum Material Condition (MMC) / Least Material Condition (LMC) bonus tolerance, Virtual Condition (VC), Resultant Condition (RC), True Position (X,Y) deviation, and 1D Worst-Case vs RSS tolerance stack-ups per ASME Y14.5-2018 and ISO 1101:2017.
Metric & Unified Thread / Tap Drill PRO Calculator
Calculate cut vs form tap drill sizes for metric M1–M64 and Unified #0–1" UNC/UNF; compute 60° profile geometry, dual-scale % thread engagement, tensile stress area, and clearance holes per ISO 68-1 / ASME B1.1.
O-Ring Gland & Groove Sizing PRO Calculator
Design and verify standard SAE AS568 and ISO 3601-1 O-ring glands per ISO 3601-2 / Parker ORD 5700. Analyze nominal squeeze %, gland volume fill %, installation stretch, 65° dovetail retention geometry, and high-pressure extrusion limits with anti-extrusion backup rings.
TRANSPARENT EQUATIONS, ASSUMPTIONS, AND REFERENCES
Built for Professional Mechanical Design
Equation Shown
Formulas, symbols, and unit conventions remain fully transparent in every tool.
Source Identified
Every method cites ISO, ASME, DIN, or Shigley textbook references.
Limits Stated
Applicability, simplifications, and safety margins are explicitly noted.
Internally Checked
Validation examples published with each reviewed calculator.
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