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FRM · Formula sheet 029 entries Updated Jun 20, 2026

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Formula sheets

Published Atlas of Engineering formula sheets archive with 29 entries across 18 disciplines, organized for browsing by branch.

Organized by discipline
02 entries

Aerospace Engineering

Open branch
  1. FRM Aerodynamics Formula Sheet Aerodynamics formulas for dynamic pressure, lift, drag, Reynolds number, Mach number, pressure coefficient, drag polar, induced drag, stall speed, and vortex shedding.
  2. FRM Aerospace Propulsion and Performance Formula Sheet Aerospace propulsion formulas for Mach number, thrust, nozzle flow, sizing ratios, TSFC, Breguet range, rocket equation, electric propulsion, and margins.
01 entries

Automation and Control Engineering

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  1. FRM Control Systems Formula Sheet Control systems formulas for closed-loop transfer, sensitivity, second-order response, steady-state error, PID, margins, state-space, and discrete-time implementation.
01 entries

Biomedical Engineering

Open branch
  1. FRM Biomedical Instrumentation Formula Sheet Biomedical instrumentation formulas for sensitivity, SNR, CMRR, sampling, quantization, filters, bridges, photodiodes, leakage current, uncertainty, and validation.
01 entries

Chemical Engineering

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  1. FRM Chemical Process Calculations Formula Sheet Chemical process formulas for mass balances, component balances, conversion, yield, residence time, heat duty, heat exchangers, flow, valves, and reactors.
02 entries

Civil and Construction Engineering

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  1. FRM Geotechnical Retaining Structures Formula Sheet Retaining wall formulas for earth and water pressure, surcharge, sliding, overturning, bearing, support loads, movement, permeability, and monitoring.
  2. FRM Structural Loads and Beam Analysis Formula Sheet Structural load formulas for load factors, reactions, shear and moment, bending stress, section properties, deflection, Euler buckling, and serviceability checks.
02 entries

Electrical Engineering

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  1. FRM AC Power Formula Sheet AC power formulas for RMS values, phasors, impedance, power factor, energy, three-phase and unbalanced circuits, voltage drop, harmonics, fault current, and correction.
  2. FRM Circuit Analysis and Protection Formula Sheet Electrical circuit formulas for Ohm's law, Kirchhoff laws, source equivalents, bridges, transients, impedance, insulation, leakage, fault current, and protection energy.
02 entries

Electronic Engineering

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  1. FRM Electronic Circuits Formula Sheet Electronic circuit formulas for Ohm's law, Kirchhoff laws, impedance, RC filters, op-amp gains, diode checks, SNR, thermal limits, dividers, and power electronics.
  2. FRM Power and Sensor Interface Formula Sheet Power and sensor interface formulas for power budgets, converter duty cycle, flyback energy, H-bridge power, current sensing, ADCs, EMI, and thermal limits.
01 entries

Engineering Physics

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  1. FRM Engineering Physics Formula Sheet Engineering physics formulas for radiation dose, plasma, piezoelectric charge, Seebeck voltage, photodiodes, heat flux, Knudsen number, resonance, and uncertainty.
01 entries

Environmental Engineering

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  1. FRM Environmental Water Systems Formula Sheet Environmental water formulas for water balance, runoff, infiltration, flow, storage, pollutant load, pipe hydraulics, pressure, pumping, and reliability.
01 entries

Industrial and Management Engineering

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  1. FRM Operations and Reliability Formula Sheet Operations and reliability formulas for critical path timing, Little's Law, capacity, yield, inventory, RPN, MTBF, availability, Weibull models, and validation.
03 entries

Computer Engineering

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  1. FRM Algorithmic Performance Formula Sheet Core formulas and checks for algorithmic performance: Big O growth, loops, memory footprint, amortized cost, queueing, throughput, latency percentiles, and reliability.
  2. FRM Digital Logic and Embedded Systems Formula Sheet Digital logic formulas for Boolean laws, timing, I/O margins, buffers, bus bandwidth, sampling, quantization, latency, jitter, watchdogs, power, and reliability.
  3. FRM Real-Time Task Scheduling Formula Sheet Computer engineering formula sheet for real-time task scheduling, covering utilization, hyperperiods, deadline margin, response-time analysis, rate-monotonic bounds, EDF feasibility, jitter, blocking, queues, watchdog timing, and validation metrics.
02 entries

Mathematical Engineering

Open branch
  1. FRM Kalman Filtering and State Estimation Formula Sheet Formula sheet for Kalman filtering and engineering state estimation, covering state-space models, prediction, covariance, innovation, Kalman gain, sensor fusion, gating, observability, EKF linearization, and validation metrics.
  2. FRM Mathematical Modeling and Optimization Formula Sheet Modeling formulas for residuals, discretization, conditioning, Newton updates, KKT conditions, uncertainty, calibration, sensitivity, and Pareto trade-offs.
01 entries

Materials Engineering

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  1. FRM Fatigue and Fracture Formula Sheet Fatigue and fracture formulas for stress amplitude, S-N curves, endurance limits, Goodman criterion, Miner rule, stress intensity, critical crack size, and crack growth.
02 entries

Mechanical Engineering

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  1. FRM Mechanical Stress Analysis Formula Sheet Mechanical stress formulas for axial stress, strain, bending, torsion, shear, von Mises stress, stress concentration, deflection, buckling, thermal stress, and fatigue.
  2. FRM Thermal Resistance Network Formula Sheet Formula sheet for thermal resistance networks covering conduction, contact interfaces, convection, radiation, series and parallel paths, junction temperature, transient RC models, heat spreading, and validation from measured temperatures.
01 entries

Mining and Georesources Engineering

Open branch
  1. FRM Mine Slope and Excavation Formula Sheet Mine slope formulas for unit weight, stress, pore pressure, Mohr-Coulomb strength, safety factor, planar sliding, infinite slopes, earth pressure, monitoring, and risk.
01 entries

Telecommunications Engineering

Open branch
  1. FRM Telecommunications Link Design Formula Sheet Telecom formulas for dB units, bandwidth, symbol rate, sampling, thermal noise, SNR, noise figure, RF and optical link budgets, latency, jitter, and radar range.
04 entries

Energy Engineering

Open branch
  1. FRM Battery Energy Storage System Sizing Formula Sheet Battery energy storage formulas for service definition, power rating, usable energy, SOC evolution, duration, reserve, C-rate, inverter kVA, thermal loss, degradation, availability, and validation.
  2. FRM Data Center Power and Cooling Formula Sheet Data center formulas for IT load, three-phase power, UPS autonomy, PUE, cooling load, airflow, liquid cooling flow, pumping power, heat exchangers, and validation.
  3. FRM Power Flow and Grid Stability Formula Sheet Formula sheet for power flow and grid stability covering per-unit bases, three-phase power, line loading, voltage drop, reactive power, short-circuit screening, inertia, RoCoF, frequency response, and stability margins.
  4. FRM Thermal Energy Systems Formula Sheet Thermal energy formulas for energy balance, heat duty, heat exchangers, LMTD, effectiveness, efficiency, exergy, flow, pressure drop, pumping power, and heat recovery.