Engineering Cheat Sheets
Condensed formula sheets by discipline — the equations on one dense, printable page.
Mechanics
Statics & Mechanics of Materials
Equilibrium, stress, bending, torsion, deflection, buckling, combined loading.
Beam Formulas
Reactions, max moment and deflection for the common support/load cases.
Dynamics & Kinematics
Motion equations, Newton's laws, work-energy, momentum, rotation.
Vibration & Modal
Natural frequency, damping, resonance, transmissibility and beam/rotor mode frequencies.
Materials & Fatigue
Stress-strain, elastic constants, endurance limit, hardness relations.
Machine Design
Machine Design
Gears, belts, shafts, bearings, springs, keys — the transmission formulas.
Fasteners & Threads
Preload, torque, tensile area, thread engagement, shear and bearing.
GD&T
The 14 controls, modifiers, bonus tolerance and virtual condition on a page.
Snap-Fit Design
Strain-based equations for cantilever, annular and torsional snap joints, plus angles and limits.
Plastic Part Design
Ribs, bosses, draft and texture, screw bosses, living hinges and ultrasonic joints.
Welding
Fluids & Thermal
Fluid Mechanics
Continuity, Bernoulli, Reynolds, Darcy-Weisbach, hydrostatics, pump power.
Thermodynamics & Heat
Conduction, convection, radiation, ideal gas, specific heat, efficiency.
Heat Transfer
Conduction, convection, radiation, thermal resistance networks, fins and dimensionless groups.
Hydraulics & Pneumatics
Cylinder force, flow-to-speed, pump power, Pascal's law.
Pneumatics
Cylinder force, air consumption, gas laws, Cv/flow and choked flow.
Psychrometrics & HVAC
Moist-air relations, coil loads, duct and ventilation sizing, refrigeration metrics.
Cycles, Gas & Combustion
Gas processes, cycle efficiencies, compression work and combustion stoichiometry.
Electrical
Electrical & Mechatronics
Ohm's law, power, motors, DC basics for the mechanical engineer.
Power Electronics
Buck/boost/flyback duty, inductor ripple, switching & conduction loss, thermal.
Sensors & Signal Conditioning
Bridges, gain, filters, ADC resolution, noise, 4–20 mA and thermocouples.
Microcontroller I/O
GPIO, pull-ups, PWM, ADC, I²C/SPI/UART timing, interrupts and debounce.
Connectors & Wiring
Wire sizing, voltage drop, crimping, shielding, strain relief and IP sealing.
Signals, Filters & Control
Impedance, resonance, filter response, Bode margins and sampling in one place.
Quality & Controls
Control Systems Basics
Transfer functions, PID, first/second-order response, stability and steady-state error.
Statistics & SPC
Descriptive stats, normal distribution, Cp/Cpk, control-chart limits and Six-Sigma DPMO.
Reliability
Failure rate, MTBF, series/parallel, availability, Weibull and FIT.
Marine
Reference
Geometry & Trigonometry
Areas, volumes, triangle solving and the trig identities you keep forgetting.
Constants & Conversions
Physical constants, material properties and SI prefixes on one page.
Engineering Economics
Time value of money, annuities, present worth, depreciation, NPV/IRR and payback.
Reference aids, not a substitute for engineering judgment.