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12 calculators

Machine Design Calculators

Shaft design, bearings, springs, fasteners, gears, welds, and fatigue analysis

Machine Design is the capstone engineering analysis course that brings together Statics, Dynamics, Mechanics of Materials, and Materials Science to design real mechanical components that must function reliably throughout their service life.

The course begins by revisiting stress analysis with a design focus — calculating factors of safety, selecting materials based on strength, fatigue, and corrosion resistance, and applying stress concentration factors to realistic geometries. Fatigue analysis is a central topic because most engineering failures occur under cyclic loading rather than static overload. The modified Goodman and Soderberg diagrams provide graphical and analytical tools for predicting fatigue life under combined mean and alternating stresses. Shaft design integrates bending, torsion, and fatigue analysis to size rotating shafts with keyways, shoulders, and other stress raisers. Bearing selection and life calculation introduce catalog-based design using the L10 life concept. Power transmission elements — gears, belts, chains, and couplings — are analyzed for load capacity, efficiency, and wear life. Fastener design covers bolt preload, joint separation, and fatigue of threaded connections. Weld strength analysis addresses both static and fatigue loading of welded joints. Spring design and press-fit analysis complete the coverage of standard machine elements.

Machine Design is where engineering analysis becomes engineering design. Students leave the course able to size and select standard mechanical components for real applications with quantified reliability and safety.

Key Concepts

  • Static failure theories: von Mises, Tresca, and maximum normal stress
  • Stress concentration factors and notch sensitivity
  • Fatigue analysis: S-N curves and endurance limit
  • Goodman and Soderberg fatigue criteria
  • Shaft design for bending and torsion
  • Rolling element bearing selection and L10 life
  • Spur and helical gear load capacity
  • Belt and chain drive analysis
  • Power screw mechanics
  • Bolt preload and joint analysis
  • Weld design for static and fatigue loading
  • Spring design: compression, extension, and torsion springs

Prerequisites

Mechanics of Materials

All stress and strain analysis from Machine Design builds directly on Mechanics of Materials methods.

Statics and Dynamics

Load determination for machine components requires static equilibrium and dynamic force analysis.

Materials Science (Basic)

Material selection, fatigue limits, and failure modes require knowledge of material properties and behavior.

Machine Design Calculators

Shaft Design Calculator

Design solid and hollow shafts under combined bending and torsion using ASME distortion energy criteria

Bearing Life Calculator

Calculate L10 bearing life in revolutions and hours for ball and roller bearings using basic dynamic load rating

Belt Drive Calculator

Calculate belt length, speed ratio, belt tensions, and required belt width for V-belt and flat-belt drives

Helical Spring Design Calculator

Calculate spring rate, deflection, and shear stress with Wahl correction factor for helical compression springs

Bolt Preload Calculator

Calculate bolt preload, torque requirements, and joint clamping force using the torque-tension relationship T = KFd

Weld Strength Calculator

Calculate allowable load and factor of safety for fillet and butt welds under shear, tension, and bending loads

Key and Keyway Calculator

Calculate shear and compressive stress in shaft keys and look up standard ANSI key sizes by shaft diameter

Flywheel Energy Calculator

Calculate kinetic energy stored, energy fluctuation, and required moment of inertia for flywheel design

Press Fit Calculator

Calculate interface pressure, hub hoop stress, and assembly force for press-fit shaft-hub connections using Lame's equations

Fatigue Life Calculator

Calculate factor of safety using Goodman, Soderberg, and Gerber criteria with modified endurance limit correction factors

Gear Ratio Calculator

Calculate gear ratios, output RPM, and torque for single or multi-stage gear trains

Factor of Safety Calculator

Calculate static factor of safety and fatigue life using Goodman and Soderberg criteria