Free tools that show their work.

Reinforced-concrete beam, column and slab section design with interaction diagrams and crack checks

Steel member checks plus bolted and welded connections and base plates, to selectable design codes

Sawn-timber and engineered-wood beams, columns and connections with duration and moisture factors

Reinforced and unreinforced masonry walls and lintels under axial, flexural and shear loads

Code load generation and combinations: wind, snow, seismic base shear, live-load reduction

Response spectra, modal combination and time-history response of single- and multi-storey structures

3-D frames, grillages and cable nets: deflections, member forces and buckling factors

Properties of any cross-section: area, inertia, torsion constant, shear centre, plastic modulus

Moving-load influence lines and envelopes for bridges and crane girders

Prestressed and post-tensioned concrete: tendon profiles, losses and stage-by-stage stresses

Plates, slabs and shells: closed-form plate solutions, yield-line analysis and punching-shear checks

Anchorage to concrete and masonry: cast-in and post-installed anchor tension, shear, breakout and pry-out checks

Floor-vibration serviceability: footfall response, natural frequency and acceleration limits for offices, gyms and footbridges

Nonlinear static (pushover) and capacity-spectrum seismic evaluation of frames and walls with plastic hinges

Slope stability (limit equilibrium) plus shallow-foundation bearing and settlement

Deep-foundation axial and lateral capacity with load-transfer and lateral-response curves

Retaining walls, sheet piles and anchored walls: earth pressures, stability and embedment

2-D steady seepage under dams and cofferdams with flow nets, exit gradients and uplift

1-D consolidation and settlement over time, preloading and vertical drains

Borehole logs, soil classification and lab-test reduction (sieve, Atterberg limits, compaction)

Rock-mass classification and stereonet kinematic analysis of planar, wedge and toppling failure

Tunnel support design by convergence–confinement and rock-load methods

Traffic-signal timing and intersection capacity and delay

Horizontal and vertical road alignment, superelevation and sight-distance checks

Flexible and rigid pavement thickness design and traffic loading in standard axles

Freeway, multilane and roundabout capacity and level of service

Car-following and lane-changing microsimulation of corridors and merges

Rail track geometry, train resistance and running-time and headway calculations

Runway length, declared distances and apron geometry for small airports

Four-step travel demand on small networks: trip generation, distribution, mode split and assignment

Transit planning: route headways, fleet size, timetables, stop spacing and parking supply

Road safety: crash frequency and rate screening, clear zones, guardrail length-of-need and sight-triangle checks

Railway signalling: block sections, signal aspects, braking distances and interlocking tables

Open-channel hydraulics, culverts and storm-runoff hydrographs

Extended-period simulation of water-distribution systems with tanks, demand patterns and water age

Gravity sewer and storm-drain design with hydraulic grade lines and minimum-velocity checks

Detention-pond routing and green-infrastructure sizing (swales, bioretention, permeable paving)

Drinking-water treatment sizing: coagulation, sedimentation, filtration, disinfection contact time

Activated-sludge wastewater design: sludge age, oxygen demand, nutrient removal and clarifiers

Well drawdown, pumping-test analysis and wellhead capture zones

Gravity-dam stability and spillway, stilling-basin and energy-dissipator hydraulics

Bridge-pier and abutment scour, riprap sizing, channel stability and sediment transport

Hydrostatic forces on gates and walls, buoyancy, manometry and floating-body stability

Membrane treatment: RO and nanofiltration flux, recovery, osmotic pressure, fouling and staging

Wave transformation, run-up, overtopping and rubble-mound armour sizing

Tidal harmonic prediction, storm-surge and sea-level allowance curves

Longshore sediment transport and one-line shoreline evolution

Crane lift planning: capacity at radius, ground bearing and rigging loads

Cut-and-fill volumes, mass-haul diagrams and truck–loader fleet productivity

Concrete mix proportioning, formwork pressure and strength gain by the maturity method

Traverse closure, levelling reduction, coordinate geometry and least-squares network adjustment

Excavation support and trench safety: soil classes, protective systems, shoring loads and surcharge

Temporary works: scaffold, formwork and falsework loads, reshoring schedules and ladder/fall-protection checks

Construction delay analysis: as-planned vs as-built windows, change orders and claim quantification

Setting-out for construction: staking tables, offsets, slope stakes and grade-rod computations

Design planar mechanisms and linkages; animate them and get kinematics and forces

Cam profile synthesis with follower motion laws, pressure angle and curvature checks

Tolerance stack-ups (worst case, root-sum-square, Monte Carlo) and limits-and-fits selection

Belt, chain and coupling drives plus brake and clutch sizing

Pressure-vessel shell, head and nozzle thickness with reinforcement checks

Rainflow counting of load histories and cumulative fatigue damage

Hydraulic and pneumatic circuits: cylinders, valves and pumps, sized and simulated

Limits and fits, geometric dimensioning and tolerancing checks, and inspection planning

Thermal-resistance networks, fins, heat sinks, electronics cooling and radiation view factors

Compressible flow: isentropic nozzles, normal and oblique shocks, Fanno and Rayleigh flow

Water hammer and surge transients in pipelines, with valves, pumps and surge tanks

2-D incompressible flow on simple geometries: channels, cavities, flow past bodies

Boiling, condensation and two-phase pressure drop in tubes

Combustion stoichiometry, adiabatic flame temperature, equilibrium products and excess air

Transient conduction: lumped capacitance, Heisler charts, semi-infinite solids and 1-D finite-difference

Compressors and compressed air: polytropic and multistage compression, intercooling, receivers and leak audits

Cryogenic and vacuum systems: liquefaction cycles, boil-off, gas conductance, pump-down and leak rates

Boiler and furnace heat balance: direct and indirect efficiency, stack losses, economisers and blowdown

Slurry, non-Newtonian and pneumatic conveying: rheology models, settling velocity, fluidisation and pressure drop

Heat-exchanger sizing (LMTD/ε-NTU) and building heating/cooling loads

Psychrometric chart with air-handling process lines: mixing, coils, humidification

Vapour-compression refrigeration and heat-pump cycles, refrigerant comparison, component matching and cold-room loads

Ventilation rates, indoor air quality and diffuser throw and air-distribution checks

Hourly annual building energy simulation from simple zone models and weather files

Radiant floor and panel heating and cooling: loop layout, water temperatures and output

Cooling-tower thermal performance: range, approach and tower characteristic

Thermal comfort: PMV/PPD, adaptive models, operative temperature on a psychrometric chart

Cleanroom and containment design: ISO class, air changes, HEPA filtration, pressure cascades and recovery time

Machining speeds, feeds, cutting forces, power, tool life and cycle time

Read, preview and check CNC programs: toolpath plot, run time, out-of-bounds moves

Sheet-metal bend allowance, flat patterns and press-brake tonnage

Injection moulding estimates: shot size, cooling time, clamp force and shrinkage

Casting gating and riser design by solidification-time rules

Welding procedure calculations: heat input, preheat, carbon equivalent and distortion

Slice 3-D printable parts and estimate print time, material use and support volume

Forging, rolling, extrusion and wire-drawing loads

2.5-D CAM: pocket, profile and drill toolpaths with feeds, speeds and G-code posting

1-D and 2-D nesting and cutting-stock optimisation for sheet, bar and plate

Design-for-assembly scoring: handling and insertion times, part-count reduction and assembly cost

Hydrodynamic journal and thrust bearings plus lubricant selection

Hertzian contact stresses, friction and wear-volume estimates

Rotor critical speeds, Campbell diagrams and two-plane balancing

Vibration of spring–mass systems, isolation mounts and tuned mass dampers

Machine-vibration signals: spectra, orders and envelopes for diagnosing bearing and gear faults

Room acoustics: reverberation time, absorption and wall sound insulation

Outdoor sound propagation, noise barriers and simple noise maps

Silencer and muffler transmission loss and duct-borne noise

Loudspeaker enclosure and port design from driver parameters

Underwater acoustics: sonar equation, sound-speed profiles and detection range

Sound-system coverage and speech intelligibility: STI, direct and reverberant field, paging and reinforcement

Pipe and duct networks: flows, pressure drops, pump and fan selection

Pipe thermal expansion, support spacing and flexibility checks

Pipe wall thickness, pressure rating and flange class selection

Steam and condensate line sizing, trap selection and flash-steam recovery

Gas pipeline flow, compressor stations and line-pack storage

Piping isometrics: 3-D routing, spool take-off, clearances and fabrication lists

One-line diagrams with power flow, short-circuit and voltage-drop studies

Protection coordination on time–current curves for relays, fuses and breakers, plus arc-flash incident energy

Grounding-grid design with step and touch voltages, plus lightning protection by rolling sphere and surge-protector selection

Cable sizing with installation derating, short-circuit withstand and raceway fill

Transient stability of synchronous machines: swing curves and critical clearing time

Harmonic distortion studies and passive filter design

Panel schedules and demand-load calculations for buildings

Overhead-line parameters, conductor sag and tension and clearances

Economic dispatch, unit commitment and optimal power flow

UPS, battery bank and standby generator sizing for facilities

EV charging sites: load management, charger mix, transformer sizing and demand charges

Power-factor correction: capacitor banks, detuning reactors, harmonic resonance checks and transformer loading

Motor selection: load torque matching, starting, acceleration time and duty cycles

Electric-machine winding layouts and equivalent-circuit performance

Variable-speed drive control: scalar and field-oriented control simulated

Power converters (buck, boost, flyback, inverters) with switching losses and thermal estimates

Inductor and transformer magnetics: core selection, windings, losses

Impedance matching on an interactive reflection chart: L-networks, stubs, quarter-wave sections

RF receiver and transmitter cascades: gain, noise figure, intercept points, dynamic range

Radio link budgets, path loss, Fresnel clearance and fade margin

Distributed microwave filters, couplers and dividers

View, convert and cascade network-parameter files with de-embedding

Wire antennas by the method of moments plus phased arrays: impedance, gain, patterns and beam steering

Radar range equation, detection probability and range–Doppler trade-offs

EMC estimates: shielding effectiveness, filter attenuation and radiated-emission margins

Signal integrity: channel loss, crosstalk, termination and eye diagrams

Lightweight PCB layout with layer stack-up planning

Digital communications: modulation, bit-error rate versus SNR, coding gain, OFDM and spectral efficiency

Digital logic and simple microcontroller circuits, simulated cycle by cycle

Design digital and analog filters and analyse spectra

Register and bit-field maps plus peripheral setup: baud rates, timer prescalers, ADC timing

Real-time schedulability: rate-monotonic and deadline-first analysis, CPU utilisation

Battery life and power budgets for embedded and IoT devices

Instrument loops: 4–20 mA scaling, sensor and bridge circuits, thermocouple tables, datasheets

Data acquisition: sampling rate, aliasing, ADC resolution and effective bits

Interior, exterior and roadway lighting layouts with illuminance grids and uniformity

Wiring harnesses and cable schedules with connector pinouts and wire lists

Draw state machines, step them with events and export transition tables

Digital timing diagrams with setup and hold checks

Protocol frames and sequence diagrams for serial buses, with checksum and CRC calculators

Fixed- and floating-point number formats: range, precision and overflow

Memory-hierarchy and pipeline simulator: cache hit rates, CPI, Amdahl and bandwidth

Hardware-description simulation (Verilog/VHDL subset): waveforms, FSM synthesis and resource estimates

Timing closure: setup/hold slack, clock skew, metastability MTBF and synchroniser design

Coding and compression: Hamming, Reed-Solomon, CRC, Huffman, LZ and entropy, with encryption primitives

Network design: IP addressing, subnetting, routing tables, VLANs, throughput and latency

Cybersecurity risk: attack trees, STRIDE threat models, CVSS scoring and IEC 62443 zones and conduits

Software size, effort and schedule estimation (COCOMO-style, function points) with defect and reliability growth

Algorithm complexity: operation counts, growth curves and data-structure cost comparisons

Chemical process flowsheets with mixers, separators, reactors and heat exchangers, solving mass and energy balances

Reaction kinetics, rate-law fitting and reactor sizing (batch, CSTR, PFR)

Distillation, absorption and extraction staging by graphical and shortcut methods

Heat integration: composite curves, pinch targets and exchanger networks

HAZOP and what-if worksheets with risk matrices and layers-of-protection analysis

Relief valve and rupture disc sizing for gas, liquid and two-phase flow, plus flare radiation

Consequence estimates: pool and jet fires, vapour dispersion and explosion overpressure

Fit process models from step tests and tune PID loops

Control-valve sizing, cavitation and noise checks

Batch process scale-up: mixing, heat transfer and cycle time

Freeze-drying cycle design: shelf temperature, chamber pressure and drying time

Electrochemistry: cell potentials, polarisation curves, electrolysers and fuel cells

Evaporators and crystallisation: solubility curves, MSMPR crystalliser sizing and multiple-effect evaporation

Dryers and drying kinetics for solids: drying curves, constant- and falling-rate periods and dryer sizing

Solid-liquid separation: cake filtration, centrifuges, sedimentation and thickener sizing

Storage tanks and separators: vessel sizing, breathing and emergency venting, and liquid-liquid separation

Polymer processing: melt rheology, single-screw extruder output and die design

Safety instrumented functions: SIL target and verification, PFD and PFH, voting architectures, proof tests and ASIL mapping

Material selection charts, stress–strain, fatigue and S-N estimates

Binary phase diagrams with lever rule and microstructure fractions

Heat treatment: hardenability, carburising depth and cooling-curve transformations

Composite laminates: laminate stiffness, ply stresses and failure criteria

Fracture mechanics, crack growth, failure assessment diagrams and creep life

Corrosion rates and cathodic-protection system design

Crystallography: Miller indices, diffraction peak indexing and lattice parameters

Non-destructive testing calculations: ultrasonic beam and DAC, radiography exposure, eddy-current depth and probability of detection

Thermochemical diagrams: Ellingham and Pourbaix diagrams and reaction equilibria for extraction metallurgy

Materials testing data reduction: tensile, hardness and impact tests with standards-style reports

Open-pit design: bench geometry, stripping ratio and pit-limit optimisation

Drill-and-blast pattern design, powder factor and fragmentation estimates

Variograms, kriging and block-model grade estimation

Crushing and grinding circuits by work index, with screening

Metallurgical mass balances, recovery and grade–recovery curves

Mine ventilation networks, fan duty and airflow distribution

Particle-size distributions, cyclone and classifier performance

Tailings storage water balance and deposition planning

Underground mine stability: pillar strength, stope span, rock-mass loading and ground support

Well inflow performance, nodal analysis, tubing flow and artificial lift

Production decline-curve fitting and reserves forecasts

Pressure-transient well-test analysis with derivative plots

Reservoir material balance and simple grid-block flow simulation

Drilling hydraulics, mud weight window and casing design

Oil, gas and water property correlations (bubble point, formation volume factor, viscosity)

Formation evaluation: Archie saturation, porosity-resistivity logs, net pay and hydrocarbon in place

Artificial lift design: ESP, gas lift and rod pump selection and operating-point checks

Pipeline multiphase flow and flow assurance: flow regimes, hydrate and wax risk, slugging

Reactor criticality by diffusion theory, point kinetics and decay heat

Gamma and neutron shielding, buildup and dose rate

Radioactive decay chains, activity and inventory over time

Reactor thermal-hydraulics: subchannel temperatures, critical heat flux margin, void fraction and primary-loop balance

Aircraft performance: take-off, climb, range, endurance, weight and balance, standard atmosphere

Gas-turbine engine cycle analysis: turbojet, turbofan and turboprop

Rocket engine performance: propellant combinations, chamber conditions and nozzle sizing

Propeller, rotor and turbine blades by blade-element momentum theory

Sounding-rocket and model-rocket flight simulation with stability margins

Thin-walled aircraft structures: shear flow, panel buckling and stiffened panels

Aircraft trim, static stability and dynamic modes from stability derivatives

Spacecraft attitude dynamics, reaction wheels and pointing control

Spacecraft mass, power, thermal and delta-v budgets

Aircraft loads: V-n diagrams, gust and manoeuvre loads, and basic flutter speed estimates

Hull hydrostatics, intact stability curves, trim and longitudinal strength

Ship resistance and powering estimates with propeller selection

Mooring-line catenary analysis and anchor loads

Seakeeping: wave spectra and vessel motion responses

Ship structure: midship section modulus, wave bending moment and plate and stiffener scantlings

Offshore structures: Morison wave and current loads on piles and jackets, overturning and platform stability

Subsea pipelines: on-bottom stability, free spans, lateral buckling and trenching

Vehicle dynamics and powertrain: acceleration, braking, fuel and energy use

Suspension kinematics: camber, toe, roll centres and motion ratios

Brake system sizing, front–rear balance and thermal load

Internal-combustion engine cycle, valve timing and torque and power curves

Crash pulses, occupant restraint loads and simple injury criteria

Tyre forces and handling: slip curves, load transfer, understeer gradient and steady-state cornering

Pharmacokinetic and physiological compartment models

Motion-capture joint angles and inverse-dynamics joint loads

Biosignal processing: ECG, EMG and EEG filtering and feature extraction

Cardiovascular lumped models: arterial compliance, stenosis and pressure waveforms

Medical image reconstruction and processing from projection data

Bioreactor growth kinetics, oxygen transfer and fed-batch strategies

Gene regulatory networks and synthetic biology circuits as rate equations

Medical-device risk files: hazards, harms, risk controls and traceability

Orthopaedic biomechanics: joint contact forces, implant stress, bone remodelling and fatigue of implants

Sterilisation validation: F0 and lethality, autoclave and ethylene-oxide cycles, bioburden

Ultrasound and MRI physics: resolution, attenuation, Doppler, SNR and safety indices

Air-dispersion (Gaussian plume) and river water-quality models

Emission inventories from emission factors and stack-test data

Air-pollution control sizing: scrubbers, fabric filters, electrostatic precipitators, cyclones

Groundwater contaminant transport: advection, dispersion, sorption and decay

Water chemistry: speciation, carbonate system, scaling indices and charge balance

Landfill gas generation, leachate and cell capacity

Waste characterisation, diversion rates, collection planning and compost mix design

Life-cycle assessment: product systems, inventories and impact categories

Human-health and ecological risk assessment: exposure pathways, dose-response, hazard index and cancer risk

Remediation design: pump-and-treat, soil-vapour extraction, bioremediation and natural attenuation

Anaerobic digestion and biogas: substrate yield, digester sizing, retention time and gas use

Crop water requirement and sprinkler and drip irrigation design

Soil erosion estimates and terrace and conservation-practice planning

Grain drying and storage aeration

Tractor and implement power, draft and field-capacity planning

Greenhouse climate: heating, ventilation, shading and supplemental lighting

Livestock ration formulation by linear programming, with housing ventilation and manure storage

Subsurface drainage: drain spacing, drainage coefficient and pipe sizing

Food thermal processing: pasteurisation and sterilisation lethality, freezing time and cold-chain loads

Statistics, design of experiments and control charts for engineers

Build process flows of arrivals, queues, servers and resources, then run discrete-event simulation with statistics

Assembly line balancing and simple facility layout

Fault trees, reliability block diagrams and availability models

Life-data analysis: Weibull and other fits, accelerated life tests and warranty forecasts

FMEA and FMECA worksheets with risk priority and action tracking

Maintenance intervals, availability and spare-parts optimisation

Acceptance sampling plans with operating-characteristic curves

Root-cause tools: fishbone, five-whys, Pareto and A3 reports

Value-stream maps with takt time, lead time and work-in-process

Ergonomics: lifting indices, posture scoring and workstation anthropometrics

Facility location and distribution-network design

Vehicle routing with time windows and capacities

Inventory policies: economic order quantity, safety stock and review policies

Demand forecasting from time series with seasonality and error tracking

Closed-form queueing models and staffing levels for service systems

System-dynamics stock-and-flow models with feedback loops

Requirements, traceability matrices and verification status

Job-shop and flow-shop sequencing with Gantt charts

Material requirements planning from bills of materials and master schedules

Time study, work sampling, standard times and learning curves

Markov and Petri-net reliability models for repairable systems, degraded modes and availability

Condition monitoring and remaining useful life from degradation data, with reliability-growth tracking

Process capability: Cp, Cpk and Ppk, non-normal capability, CUSUM and EWMA charts

Systems-engineering models: block, requirement and parametric diagrams, interface and dependency matrices

Warehouse design: slotting, pick-path optimisation, storage capacity and dock scheduling

Decision analysis: decision trees, utility, expected value and value of information

Overall equipment effectiveness: availability, performance, quality loss tree and downtime Pareto

Machinery safety: ISO 13849 performance level, safe distances, stopping times and guard design

Industrial hygiene: noise dose and TWA, heat stress, chemical exposure limits and mixtures

Solar PV and battery system design: irradiance, strings, losses, yearly yield and payback

Wind resource, turbine power curves and annual energy yield

Solar thermal: flat-plate and concentrating collectors, storage tanks and solar fraction

Sun paths, shading analysis and solar access for sites and buildings

Small hydro and marine energy: flow-duration curves, head, penstocks and turbine selection

Ground-source heat-pump borehole field sizing

Battery packs: series–parallel layouts, state of charge, ageing and thermal behaviour

Hourly energy-system balancing with renewables, storage dispatch and capacity planning

Thermal power-plant cycles: reheat, regeneration, combined cycles and cogeneration

Energy audits: savings from motors, lighting, compressed air and controls

Hydrogen chains: electrolyser sizing, compression, storage and fuel-cell round-trip efficiency

Geothermal power: flash and binary cycles, well output and reservoir depletion

Levelised cost of energy, storage economics, tariffs and carbon-price sensitivity

Sprinkler system hydraulic calculations with water-supply curves

Occupant egress: travel distances, exit capacity and evacuation time

Fire dynamics hand calculations: heat release, plumes, smoke layer, detector response, flashover

Structural fire resistance: steel temperature rise, timber charring and concrete cover

Fire-alarm circuit voltage drop and standby battery sizing

Gaseous and water-mist suppression: design concentration, agent quantity, venting and hazard checks

Fire-flow demand and water-supply adequacy: hydrant tests, residual pressure and storage

Smoke control: stair pressurisation, door-opening force and atrium smoke exhaust

Sequential ray tracing of lens systems: aberrations and spot diagrams

Thin-film multilayer coatings: reflectance and transmittance spectra

Optical fibre link budgets, dispersion and bandwidth

Gaussian beams, laser cavities and diffraction propagation

Colour science: spectra to colour coordinates, colour difference and photometry

Imaging system design: signal-to-noise, resolution, depth of field and field of view

Laser safety: maximum permissible exposure, nominal hazard distance and eyewear optical density

Light GIS: map layers, buffers, overlays and area/length measures

Coordinate transformations, map projections and datum conversions

Point-cloud viewing, cleaning, sections and volume measurement

Satellite-positioning planning: satellite visibility, dilution of precision and error budgets

Multispectral imagery: vegetation and water indices and simple classification

Elevation models: hillshade, contours, slope and watershed delineation

Aerial and UAV photogrammetry planning: ground sample distance, overlap, strips and camera calibration

Least-squares adjustment of survey networks with error ellipses and reliability measures

Geodesy: geoid models, GNSS ellipsoidal-to-orthometric heights, gravity reductions and geodetic inverse/direct

Parcel and boundary geometry: metes-and-bounds descriptions, areas, subdivision and easements

Robot-arm kinematics, workspace and path planning

Classical control design: root locus, Bode, Nyquist and stability margins

State-space design: pole placement, LQR, observers and Kalman filters

Mobile-robot kinematics, path planning on maps and localisation

Ladder-logic editor and simulator for PLC programs

Multicopter sizing: motors, propellers, batteries and flight time

Motion profiles and servo sizing: S-curves, inertia ratio, torque and RMS current

Nonlinear state estimation: extended and unscented Kalman and particle filters with sensor fusion

Model-predictive control with constraints: horizon design, QP solve and closed-loop trials

Sampled-data control: z-transform design, discretisation, anti-windup and quantisation effects

Alarm management: ISA-18.2 rationalisation, priority, flood analysis and HMI page layout

Data plotting and curve fitting with publication-quality charts

Numerical linear algebra and methods: linear systems, eigenvalues, root finding, interpolation

ODE and PDE solvers with method and step-size comparison

Nonlinear and multi-objective optimisation with Pareto fronts

Network and graph analysis: shortest paths, maximum flow, spanning trees

Clean, reshape, pivot and summarise measurement data tables

Regression and classification models and surrogate models for engineering data

Browse, filter and annotate long sensor and data-logger time series

Symbolic algebra: simplification, derivatives, integrals, Laplace and Fourier transforms, closed-form ODEs

Bayesian inference: priors, posteriors, credible intervals and basic MCMC for engineering data

2-D parametric sketching with dimensions and constraints, exporting DXF/SVG

3-D solid modelling from primitives and Boolean operations, exporting mesh files

Drawing sheets: title blocks, orthographic views, dimensions and geometric-tolerance frames

P&ID, electrical schematic and single-line diagrams from standard symbol libraries

View, measure and repair triangle-mesh files

View and query building-information models (IFC): element trees, quantity take-off and clash checks

2-D topology optimisation: load paths, minimum compliance and manufacturable outlines

Engineering economics: cash flows, NPV/IRR, depreciation, life-cycle cost

Quantity take-off and cost estimates with unit rates and assemblies

Earned-value tracking: cost and schedule performance and forecasts

Parametric cost estimates: capacity-scaling exponents, cost indices and learning curves

Public and private investment decisions: benefit-cost, replacement analysis, break-even, loans, tax and inflation

Professional practice: ethics case library, decision checklists, licensure and liability

Greenhouse-gas accounting across scopes 1–3 and embodied carbon of buildings from material quantities

Rainwater harvesting and greywater reuse sizing

Measurement uncertainty budgets by analytic propagation and Monte Carlo

Gauge repeatability and reproducibility and measurement-system analysis

Calibration records, intervals and traceability chains

Fit circles, planes and cylinders to measured points; flatness, roundness and other form errors

Engineering reference tables: wire gauges, threads, pipe schedules, hardness conversions, steel sections

Assemble calculation packages with inputs, references, checks and sign-off

Engineering notebooks and lab reports with tables, figures and equations

Drawing and document registers, transmittals and revision control

Technical specifications assembled from reusable clauses

Envelope performance: U-values, thermal bridging, dew-point and Glaser condensation, window ratings

Building plumbing: fixture-unit sizing of supply, drain and vent, hot-water recirculation and medical gas

Vertical transport: elevator round-trip time, handling capacity, interval and group sizing

Daylighting: daylight factor, sky models, glare and annual daylight metrics

Egress geometry and accessibility: ramps, stairs, landings, guards and wheelchair clearances

Building-code framing: occupancy classification, height and area limits, construction type and fire ratings

Semiconductor fabrication: die per wafer, yield models, diffusion and oxidation depth

Textiles: yarn count conversions, fabric geometry, cover factor and tensile checks

Packaging: cushion curves, drop and shock design, transport vibration and stacking strength