Technology & Design // Engineering

CCEA GCE A-Level -- Revision Workshop

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01 The Design Process

Identifying Needs & Wants

  • Need: something essential (e.g. a safe way to cross a river)
  • Want: a desire, not essential (e.g. a stylish bridge with LED lighting)
  • Designers must distinguish between the two to prioritise function
  • Market research, surveys, interviews, and observations help identify genuine needs

Design Briefs & Specifications

  • Design brief: a short statement outlining what needs to be designed and for whom
  • Design specification: a detailed list of measurable criteria the product must meet
  • Specification points (ACCESS FM): Aesthetics, Cost, Customer, Environment, Size, Safety, Function, Materials
  • Specifications should be measurable and testable

Research Methods

  • Primary research: original data you collect (surveys, interviews, measurements, testing existing products)
  • Secondary research: existing data (books, internet, manufacturer data sheets, standards)
  • Product analysis / disassembly of existing products
  • Anthropometric data collection

Generating & Developing Ideas

  • Freehand sketching with annotation
  • Thumbnail sketches for initial concepts
  • 3D sketch models (card, foam, clay)
  • CAD modelling for accurate development
  • Morphological analysis (combining features systematically)
  • Development: refine chosen idea against specification
  • Modelling and prototyping to test ideas

Evaluation

  • Evaluate against each specification point
  • User testing and feedback
  • Objective measurements vs subjective opinions
  • Suggest improvements and modifications

Iterative Design

  • Design is not linear -- it loops back through stages
  • Test, evaluate, redesign, re-test
  • Each iteration improves the solution

Design For...

  • Design for manufacture (DFM): simplify production, reduce parts, standardise components
  • Design for maintenance: easy access to parts that wear out, modular replacement
  • Design for sustainability: minimal material waste, recyclable materials, low energy
  • Design for disassembly: easy to separate materials for recycling at end of life
  • User-centred design: the user's needs, abilities, and limitations drive every decision
02 Communication Techniques

Freehand 3D Sketching

  • Isometric: 30-degree axes, no vanishing points, true lengths on all 3 axes, good for technical illustration
  • Oblique: front face drawn true shape, depth recedes at 45 degrees (usually half scale), quick sketching method
  • Perspective: 1-point (one vanishing point) or 2-point (two vanishing points), most realistic, used for presentations

Orthographic Projection

  • 1st angle projection: object between observer and plane; views appear on opposite side (UK/Europe standard)
  • 3rd angle projection: plane between observer and object; views appear on same side (US standard)
  • Includes: front elevation, end elevation, plan view
  • Must include projection symbol to indicate which angle

Sectional Views & Conventions

  • Cutting planes shown with chain lines and arrows indicating viewing direction
  • Cross-hatching at 45 degrees to show cut material
  • Different hatching patterns for different materials
  • Half sections, offset sections, revolved sections

Dimensioning & Tolerancing

  • Dimension lines with arrows, extension lines
  • All dimensions in mm (unless stated otherwise)
  • Tolerance: the acceptable range of variation (e.g. 50 +/- 0.1 mm)
  • Fits: clearance fit, interference fit, transition fit

Assembly & Exploded Views

  • Assembly drawings show how parts fit together
  • Parts list / bill of materials (BOM)
  • Exploded views: parts separated along assembly axis with leader lines
  • Balloons / part numbers for identification

Rendering Techniques

  • Shading: light source, shadow, gradient fills
  • Texture: showing materials (wood grain, metal reflection, plastic sheen)
  • Colour: marker rendering, coloured pencil, mixed media
  • Highlights and reflections for realism

CAD (Computer Aided Design)

  • 2D CAD: technical drawings, layout plans (e.g. AutoCAD, LibreCAD)
  • 3D CAD: solid modelling, surface modelling, parametric design (e.g. SolidWorks, Fusion 360, Inventor)
  • Advantages: accuracy, easy modification, simulation and analysis, rendering, direct link to CAM
  • BS 8888: UK standard for technical product documentation and specification
03 Materials -- Metals

Ferrous Metals (contain iron)

Material: Mild Steel (Low Carbon Steel)
Carbon content: 0.1--0.3%
Tensile strength: 400--550 MPa
Properties: tough, ductile, easy to weld, poor corrosion resistance
Uses: car bodies, structural steel, nails, screws, general fabrication
Material: High Carbon Steel
Carbon content: 0.6--1.4%
Properties: hard, brittle, can be heat-treated, holds a cutting edge
Uses: cutting tools, chisels, drill bits, springs, blades
Material: Stainless Steel
Composition: iron + chromium (min 10.5%) + nickel
Properties: excellent corrosion resistance, hard, tough, hygienic
Uses: cutlery, surgical instruments, kitchen sinks, food processing
Material: Cast Iron
Carbon content: 2--4%
Properties: very hard, brittle, excellent compressive strength, good vibration damping
Uses: engine blocks, machine bases, manhole covers, vices

Non-Ferrous Metals (no iron)

Material: Aluminium
Density: 2.7 g/cm3 (about 1/3 of steel)
Properties: lightweight, good conductor, corrosion resistant (oxide layer), ductile, malleable
Uses: aircraft parts, drinks cans, window frames, foil, bicycle frames
Material: Copper
Properties: excellent electrical and thermal conductor, malleable, ductile, antimicrobial
Uses: electrical wiring, plumbing pipes, PCB tracks, roofing
Material: Brass (Cu + Zn alloy)
Composition: copper (65%) + zinc (35%)
Properties: corrosion resistant, good machinability, attractive gold colour
Uses: plumbing fittings, electrical connectors, musical instruments, decorative
Material: Titanium
Properties: excellent strength-to-weight ratio, corrosion resistant, biocompatible
Uses: aerospace, medical implants (hip joints), high-end sports equipment

Alloys

  • An alloy is a mixture of two or more elements, at least one being a metal
  • Alloys are made to improve properties: strength, corrosion resistance, hardness, workability
  • The different-sized atoms disrupt the regular lattice structure, preventing layers from sliding

Material Properties

PropertyDefinition
HardnessResistance to scratching, indentation, or abrasion
ToughnessAbility to absorb energy / resist impact without fracturing
DuctilityAbility to be drawn into wire without breaking
MalleabilityAbility to be hammered or rolled into shape without cracking
Tensile strengthResistance to being pulled apart (tension)
Compressive strengthResistance to being crushed (compression)
ConductivityAbility to conduct heat or electricity
Corrosion resistanceAbility to resist degradation from environment (rust, oxidation)
ElasticityAbility to return to original shape after deformation
PlasticityAbility to be permanently deformed without breaking

Heat Treatments

TreatmentProcessEffect
HardeningHeat to cherry red (above critical temp), quench rapidly in water/oilMakes steel very hard but brittle
TemperingReheat hardened steel to specific temperature (220-300C), cool slowlyReduces brittleness while retaining some hardness
AnnealingHeat to critical temperature, cool very slowly (in furnace or sand)Softens metal, relieves internal stresses, increases ductility
Case hardeningHeat low-carbon steel, coat with carbon (e.g. in charcoal), then quenchHard outer case with tough, ductile core
NormalisingHeat above critical temperature, cool in still airRefines grain structure, removes internal stresses
Key: Hardening and tempering are usually done together. You harden first (makes it very hard but too brittle), then temper to reduce brittleness to a usable level. The tempering colour indicates the temperature and resulting hardness.
04 Materials -- Polymers

Thermoplastics vs Thermosetting

Thermoplastics: can be reheated and reshaped repeatedly. Polymer chains are held by weak intermolecular forces -- they soften when heated.
Thermosetting plastics: undergo a chemical change when heated and set permanently. Strong cross-links form between chains -- they cannot be remelted.

Thermoplastics

PolymerPropertiesTypical Uses
Acrylic (PMMA)Transparent, stiff, scratches easily, good optical clarity, machines wellSigns, display cases, light covers, lenses, laser cutting
PVC (rigid)Stiff, tough, chemical resistant, good insulator, weather resistantPipes, guttering, window frames, cable insulation
Polypropylene (PP)Tough, flexible, fatigue resistant (living hinge), chemical resistantBottle caps, rope, medical equipment, food containers
HDPEStiff, strong, chemical resistant, lightweightBottles, pipes, bins, crates
LDPEFlexible, tough, lightweight, waterproofCarrier bags, squeezy bottles, cling film
ABSTough, rigid, good impact resistance, good surface finishLEGO bricks, car dashboards, helmets, 3D printing (FDM)
Nylon (PA)Tough, low friction, self-lubricating, wear resistantGears, bearings, bushings, clothing, cable ties
Polystyrene (PS)Rigid, brittle, lightweight, cheap, good for mouldingPackaging, model kits, CD cases
PETGClear, tough, chemical resistant, easy to thermoformFood packaging, medical devices, 3D printing
PLABiodegradable, derived from corn starch, low melting point3D printing, disposable packaging, medical (dissolvable sutures)

Thermosetting Plastics

PolymerPropertiesTypical Uses
Epoxy resinVery strong adhesive, excellent chemical resistance, good with fibresAdhesives, PCBs, composite matrix (carbon fibre), boat hulls
Polyester resinGood strength, cheap, used with glass fibre, can be brittleGRP (fibreglass), boat hulls, car body panels
Melamine formaldehydeHeat resistant, hard, scratch resistant, hygienicKitchen worktops (laminate), tableware, electrical insulation
Urea formaldehyde (UF)Hard, brittle, heat resistant, good insulatorElectrical fittings, plug sockets, bottle caps
Phenol formaldehyde (Bakelite)Hard, brittle, heat resistant, dark colours only, good insulatorSaucepan handles, electrical fittings, early telephones

Additives

  • Plasticisers: increase flexibility (e.g. PVC becomes flexible for cable insulation)
  • Stabilisers: prevent degradation from UV light or heat
  • Pigments: add colour
  • Fillers: bulk out material, reduce cost, can improve properties (e.g. glass fibre filler for strength)
  • Flame retardants: reduce flammability
05 Materials -- Timber & Composites

Hardwoods (from deciduous, broad-leaved trees)

TimberPropertiesUses
OakVery hard, tough, durable, attractive grain, heavyFurniture, flooring, boat building, structural beams
AshTough, flexible, good shock resistance, light colourTool handles, sports equipment (hurley sticks), ladders
MahoganyDurable, easy to work, attractive reddish colour, stableHigh-quality furniture, veneers, musical instruments
BeechHard, tough, close grain, good for steam bending, not durable outdoorsChildren's toys, workshop tools, furniture, worktops
TeakVery durable, naturally oily (water resistant), hardGarden furniture, boat decking, lab benches

Softwoods (from coniferous, evergreen trees)

TimberPropertiesUses
Pine (Scots Pine)Relatively strong, easy to work, knotty, light colourConstruction, furniture, general joinery, shelving
SpruceLight, strong for weight, straight grain, resonantConstruction timber, aircraft, musical instruments (soundboards)
CedarLightweight, naturally durable (weather resistant), aromaticOutdoor cladding, sheds, fencing, lining wardrobes
Key: "Hardwood" and "softwood" refer to the botanical classification of the tree, NOT always the physical hardness. Balsa is a hardwood but very soft. Yew is a softwood but very hard.

Manufactured Boards

BoardConstructionPropertiesUses
MDFWood fibres bonded with resin, pressedSmooth, uniform, no grain, easy to machine and paintFurniture, shelving, speaker cabinets
PlywoodThin veneers glued with alternating grain directionStrong, resists warping, available in large sheetsStructural panels, furniture, formwork, boat hulls
ChipboardWood chips bonded with resin, pressedCheap, weaker than MDF, swells with moistureFlat-pack furniture (usually veneered or laminated)
HardboardWood fibres pressed at high temperatureThin, smooth one side, cheapDrawer bottoms, backing boards
BlockboardStrips of softwood between two veneersStrong, lightweight, good for large panelsWorktops, doors, shelving

Composites

  • A composite is made of two or more materials combined to get properties that neither has alone
  • Typically a matrix (resin) reinforced with fibres
CompositeConstructionPropertiesUses
GRP (Fibreglass)Glass fibre mat + polyester resinLightweight, strong, corrosion resistant, mouldableBoat hulls, car body panels, tanks, roofing
Carbon Fibre (CFRP)Carbon fibre + epoxy resinExtremely strong and stiff, very lightweight, expensiveF1 cars, aerospace, bicycles, sports equipment
KevlarAramid fibre + resinExtremely high impact resistance, lightweight, flexibleBody armour, helmets, racing sails, puncture-proof tyres

Smart Materials

  • Shape Memory Alloys (SMA): e.g. Nitinol (Ni-Ti) -- deformed when cool but returns to original shape when heated. Uses: dental braces, stents, fire sprinkler valves
  • Thermochromic pigments: change colour with temperature change. Uses: baby spoons, mood rings, kettles, forehead thermometers
  • Photochromic pigments: change colour/opacity with UV light intensity. Uses: self-tinting spectacle lenses
06 Manufacturing Processes -- Shaping

Casting

ProcessHow It WorksMaterialsProducts
Sand castingPattern pressed into sand mould, molten metal poured in, cooled, mould broken openCast iron, aluminium, brass, bronzeEngine blocks, manhole covers, machine beds
Die castingMolten metal injected at high pressure into a reusable steel mould (die)Aluminium, zinc, magnesium alloysToy cars, door handles, engine housings
Investment casting (lost wax)Wax pattern coated in ceramic, wax melted out, metal poured inSteel, titanium, precious metalsTurbine blades, jewellery, dental crowns

Moulding (Polymers)

ProcessHow It WorksMaterialsProducts
Injection mouldingPlastic granules heated, injected under pressure into cooled mouldThermoplastics (PP, ABS, PS, nylon)Cases, toys, containers -- high volume
Blow mouldingParison (tube) of hot plastic inflated inside mould by air pressureHDPE, PET, PPBottles, containers, tanks
Rotational mouldingPowder placed in mould, rotated on two axes while heated, coats insidePE, PP, nylonTanks, bins, playground equipment, kayaks
Vacuum formingHeated thermoplastic sheet draped over mould, vacuum sucks it tightHIPS, ABS, acrylic, PVCPackaging trays, bath panels, signs
Compression mouldingPlastic placed in heated mould, compressed under pressure, curesThermosetting plastics (UF, MF, PF)Electrical fittings, handles, bottle caps

Forming (Metals)

  • Forging: heated metal hammered/pressed into shape. Very strong grain structure. Drop forging uses shaped dies for repeated production (e.g. spanners, crankshafts)
  • Press forming: sheet metal pressed between male and female die. Used for car body panels, kitchen sinks
  • Bending: sheet metal bent using press brake or folding bars. Bend allowance must be calculated
  • Rolling: metal passed between rollers to reduce thickness or form shapes (I-beams, angle iron)
  • Spinning: metal disc rotated on lathe while tool presses it over a former. Used for bowls, lampshades, cones

Machining (Material Removal)

  • Turning (lathe): workpiece rotates, single-point cutting tool removes material. Produces cylindrical parts, facing, boring, threading, knurling
  • Milling: rotating multi-point cutter removes material from stationary workpiece. Flat surfaces, slots, pockets
  • Drilling: rotating drill bit creates holes. Centre drill first, then drill. Use pilot holes for accuracy
  • Grinding: abrasive wheel for very fine surface finish and tight tolerances

Cutting

  • Laser cutting: focused laser beam melts/vaporises material. Very accurate, narrow kerf, CNC controlled. Metals, acrylic, MDF, card
  • Plasma cutting: ionised gas cuts conductive metals. Thicker sections than laser, faster for thick metal
  • Water jet: ultra-high pressure water (sometimes with abrasive). No heat-affected zone. Any material
  • EDM (Electrical Discharge Machining): spark erosion removes material. Hard metals, complex shapes, dies and moulds

3D Printing / Additive Manufacturing

ProcessHow It WorksMaterialsPros / Cons
FDM (Fused Deposition Modelling)Thermoplastic filament melted and extruded layer by layer through heated nozzlePLA, ABS, PETG, nylonCheap, widely available / Visible layer lines, lower strength
SLA (Stereolithography)UV laser cures liquid resin layer by layer in a vatUV-curable resinsVery high detail, smooth finish / Expensive resin, post-curing needed
SLS (Selective Laser Sintering)Laser fuses powdered material layer by layer in a heated bedNylon, metal powdersNo support structures needed, strong parts / Expensive, rough surface
07 Manufacturing -- Joining & Finishing

Permanent Joints (Metal)

MethodDescriptionUses / Notes
MIG weldingContinuous wire electrode + inert shielding gas (argon/CO2). Easy to learn, fastSteel, aluminium. Car bodywork, general fabrication
TIG weldingNon-consumable tungsten electrode + inert gas. Separate filler rod. Very preciseStainless steel, aluminium, thin sections. High quality welds
Arc welding (MMA)Consumable flux-coated electrode creates arc. Portable, cheapSteel. Structural steel, construction site work
Oxy-acetyleneAcetylene + oxygen flame melts metal. Also used for cutting and brazingSteel, copper. Versatile but slower. Repair work
BrazingFiller metal (brass alloy) melts above 450C but below parent metal melting pointJoining dissimilar metals, plumbing, bicycle frames
SolderingFiller metal (solder) melts below 450C. Low-strength jointElectronics (PCB components), plumbing (lead-free), tin cans
RivetingMetal pin inserted through aligned holes, head formed on other endAircraft fuselage (aluminium rivets), structural steel
AdhesivesEpoxy, cyanoacrylate (superglue), contact adhesive, PVAVarious materials. Epoxy for high-strength bonding

Temporary / Semi-Permanent Joints

  • Nuts and bolts: strong, adjustable, removable. Use washers to spread load. Lock nuts prevent loosening
  • Machine screws: threaded into tapped hole or with nut. Various head types (countersunk, pan, cap)
  • Self-tapping screws: cut their own thread in softer materials (thin metal, plastic)
  • Clips and snap fits: moulded into plastic parts. Quick assembly, no tools

Wood Joints

JointStrengthDescription / Use
Butt jointWeakSimplest; end of one piece meets face/edge of another. Reinforced with screws/dowels
Dowel jointModerateWooden pegs align and strengthen butt joint. Used in flat-pack furniture
Mortise & tenonStrongTenon (projection) fits into mortise (slot). Traditional frame construction
DovetailVery strongInterlocking fan-shaped pins and tails. Resists pulling apart. Drawer construction
Finger / comb jointStrongInterlocking rectangular fingers. Large glue area. Box corners
Housing jointModerateOne piece sits in a groove cut across another. Shelving in a bookcase
Halving jointModerateHalf the thickness removed from each piece so they overlap flush. Cross-frames

Surface Finishes

FinishMethodMaterialsPurpose
PaintingPrimer + undercoat + topcoat (spray, brush, dip)Most materialsProtection + aesthetics
Powder coatingElectrostatic charge attracts powder to metal, baked in oven to fuseMetalsDurable, even coating, many colours
ElectroplatingObject used as cathode in electrolysis; thin layer of metal depositedMetalsCorrosion protection, decorative (chrome, nickel, gold)
AnodisingElectrolytic process that thickens natural oxide layer on aluminiumAluminiumCorrosion protection, can accept dyes, hard wearing
GalvanisingDipping steel in molten zinc (hot-dip galvanising)SteelSacrificial protection from corrosion
Lacquering / varnishingTransparent coating applied by brush or sprayWood, metalProtection while showing natural material
Dip coatingHeated metal dipped into fluidised polymer powder, melts and coatsMetalsThick plastic coating (e.g. tool handles, dishwasher racks)
Self-finishingMaterial needs no finish (e.g. stainless steel, anodised aluminium, teak)VariousReduced cost and environmental impact
08 Scales of Production
ScaleQuantityCharacteristicsExamples
One-off (bespoke / jobbing)1Custom-made, highly skilled labour, expensive per unit, uniquePrototype, wedding dress, bridge, bespoke furniture
Batch production10s -- 1000sSet quantity made, tooling set up then changed for next batch, some automationBakery products, furniture ranges, clothing collections
Mass production1000s -- millionsContinuous production line, highly automated, low unit cost, standardisedCars, phones, bottles, screws
Continuous production24/7 non-stopNever stops, fully automated, very high volume, liquid/gas productsOil refining, steel making, chemical processing, paper

Just-in-Time (JIT)

  • Materials delivered exactly when needed -- minimal stock held
  • Reduces storage costs and waste
  • Requires reliable suppliers and precise scheduling
  • Risk: supply chain disruption can halt production

Quality Control vs Quality Assurance

  • Quality Control (QC): inspecting and testing products after production (e.g. sampling, measuring, visual checks, Go/No-Go gauges)
  • Quality Assurance (QA): systems and procedures to prevent defects (e.g. ISO 9001, documented processes, training, audits)
  • QC catches defects; QA aims to prevent them occurring

CAD/CAM/CNC

  • CAD: Computer Aided Design -- digital design and modelling
  • CAM: Computer Aided Manufacture -- using software to control machines (generates toolpaths, G-code)
  • CNC: Computer Numerical Control -- machines controlled by programmed instructions (lathes, mills, routers, laser cutters)
  • Advantages: consistent accuracy, 24/7 operation, complex shapes, reduced waste, repeatable
  • Disadvantages: high initial cost, needs skilled programmers, software costs

Lean Manufacturing

  • Minimise waste (time, materials, energy, movement) while maximising value
  • 5S: Sort, Set in order, Shine, Standardise, Sustain
  • Kaizen: continuous small improvements
  • Value stream mapping: identifying non-value-adding steps
09 Mechanisms

Types of Motion

  • Linear: movement in a straight line (e.g. drawer, piston)
  • Rotary: movement in a circle (e.g. wheel, motor shaft)
  • Reciprocating: back and forth in a straight line (e.g. piston in engine, sewing machine needle)
  • Oscillating: swinging back and forth in an arc (e.g. pendulum, windscreen wiper)

Converting Motion

MechanismInput MotionOutput MotionExample
Crank and sliderRotaryReciprocating (or vice versa)Piston engine, steam locomotive
Cam and followerRotaryReciprocating / oscillatingEngine valves, sewing machines
Rack and pinionRotaryLinear (or vice versa)Car steering, lathe carriage
Screw threadRotaryLinearVice, car jack, clamp

Gear Systems

  • Spur gears: parallel shafts, teeth mesh, direction reverses. Most common type
  • Bevel gears: shafts at 90 degrees (right angle). Transfers drive around a corner
  • Worm gear: worm (screw) meshes with worm wheel. Large speed reduction, non-reversible. Self-locking
  • Gear train: multiple gears in series for larger ratios
  • Idler gear: changes direction without affecting gear ratio
Gear Ratio = Driven Teeth / Driver Teeth
Output Speed = Input Speed / Gear Ratio
✎ Worked Example: Gear Ratio
A gear train has a driver gear with 20 teeth and a driven gear with 60 teeth. Calculate the gear ratio and output speed if the input is 300 rpm.
Step 1 Click to reveal REVEAL
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Step 3 Click to reveal REVEAL

Belt & Chain Drives

  • Belt drive: flexible belt connects two pulleys. Can slip (acts as overload protection). Quiet
  • Chain drive: roller chain connects sprockets. No slip (positive drive). Needs lubrication. Used in bicycles, motorcycles
  • Same ratio calculation as gears (using pulley/sprocket diameters or teeth)

Linkages

  • Bell crank: changes direction of motion by 90 degrees (e.g. bicycle brake)
  • Toggle clamp: over-centre action locks in position. Used for jigs and fixtures
  • Parallel motion (push-pull): both ends move in same direction (e.g. tool box lid)
  • Reverse motion (tongs): ends move in opposite directions (e.g. scissors, pliers, lazy tongs)

Levers

ClassOrderExamples
1st classFulcrum between Effort and LoadSeesaw, crowbar, scissors, pliers
2nd classLoad between Fulcrum and EffortWheelbarrow, nutcracker, bottle opener
3rd classEffort between Fulcrum and LoadFishing rod, tweezers, human forearm
Moments: Effort x Effort Distance = Load x Load Distance
Mechanical Advantage (MA) = Load / Effort
Velocity Ratio (VR) = Distance moved by Effort / Distance moved by Load
Efficiency = (MA / VR) x 100%
✎ Worked Example: Lever
A 1st class lever has the fulcrum 0.5 m from the load of 200 N. The effort is applied 2 m from the fulcrum. Find the effort needed and the MA.
Step 1 Click to reveal REVEAL
Step 2 Click to reveal REVEAL
Step 3 Click to reveal REVEAL
10 Structural Engineering

Types of Force

ForceDescriptionExample
TensionPulling / stretching forceTow rope, suspension bridge cable
CompressionPushing / squashing forceColumn supporting a roof, bridge pier
ShearForces acting in opposite directions across a sectionScissors cutting paper, rivet in shear
TorsionTwisting forceTwisting a screwdriver shaft, drive shaft
BendingCombination of tension and compressionShelf loaded in middle, beam under load

Beams

  • Simply supported beam: supported at both ends, free to rotate at supports. Bends under load (sags)
  • Cantilever beam: fixed at one end only, free at the other. Greater deflection and stress at the fixed end (e.g. diving board, balcony)
  • I-beam / H-beam cross-section provides maximum strength for minimum material (material placed where stress is highest -- top and bottom flanges)

Triangulation

  • Triangles are the only rigid polygon -- they cannot be deformed without changing the length of a side
  • Used in trusses, bridges, cranes, pylons, bicycle frames
  • Members in a triangulated structure carry only tension or compression (no bending)

Stress, Strain & Young's Modulus

σ Stress (sigma) = Force / Area (units: Pa or N/m2 or MPa)
ε Strain (epsilon) = Extension / Original Length (no units -- it is a ratio)
E Young's Modulus (E) = Stress / Strain (units: Pa or GPa). Measures stiffness of a material.
FoS Factor of Safety = Failure Stress / Working Stress (typically 2-4 for static loads, higher for dynamic or safety-critical)
✎ Worked Example: Stress & Strain
A steel rod of cross-sectional area 50 mm2 is subjected to a tensile force of 10 kN. The rod is 2 m long and extends by 0.4 mm. Calculate the stress, strain, and Young's modulus.
Step 1 Click to reveal REVEAL
Step 2 Click to reveal REVEAL
Step 3 Click to reveal REVEAL
✎ Worked Example: Factor of Safety
A component has a failure stress of 500 MPa. If the required Factor of Safety is 2.5, what is the maximum working stress?
Step 1 Click to reveal REVEAL
Step 2 Click to reveal REVEAL
11 Electronic Systems

Systems Approach

Block Diagram
INPUT ---> PROCESS ---> OUTPUT
(sensor / switch) ---> (decision / control) ---> (actuator / indicator)
  • All electronic systems can be broken down into input, process, and output sub-systems
  • Feedback can loop output back to input for control

Input Components

ComponentFunctionNotes
Push switch (push-to-make)Momentary contact -- closes circuit when pressedDoorbells, reset buttons
Toggle switchStays in on or off positionLight switches, power switches
Tilt switchCloses circuit at certain angle (mercury or ball bearing)Safety cutoff in heaters
Reed switchActivated by magnetic field (two metal reeds in glass)Door/window security sensors
MicroswitchSmall lever-operated switch, very precise actuationLimit switches, 3D printers, mouse buttons
LDR (Light Dependent Resistor)Resistance decreases as light increasesAutomatic night lights, light meters
Thermistor (NTC)Resistance decreases as temperature increasesTemperature sensing, fire alarms, thermostats
PotentiometerVariable resistor -- user adjustableVolume control, dimmer, position sensor
MicrophoneConverts sound waves to electrical signalAudio input, voice control

Process Components

  • Resistors: limit current, divide voltage, set bias points
  • Capacitors: store charge, smoothing, timing circuits
  • Transistors (NPN as switch): small base current switches larger collector current. Acts as electronic switch
  • 555 Timer IC: versatile timing chip -- monostable (one pulse) or astable (continuous pulses)
  • Op-amps: amplify signals, compare voltages
  • Logic gates: AND, OR, NOT, NAND, NOR, XOR -- process digital signals
  • Microcontrollers: programmable ICs (Arduino, PIC) -- can be programmed for complex logic

Output Components

ComponentFunctionNotes
LEDEmits light when forward biased. Low power, long lifeAlways use with series resistor to limit current
Buzzer / piezoProduces soundAlarms, indicators, feedback
DC motorContinuous rotation, speed varies with voltageFans, toys, drives. Use PWM for speed control
Stepper motorRotates in precise steps (e.g. 1.8 degrees per step)CNC machines, 3D printers, robotics
Servo motorRotates to precise angle (0-180 degrees typically)RC cars, robot arms, control surfaces
SolenoidElectromagnetic linear actuator -- pushes/pulls a plungerDoor locks, valves, pinball machines
RelayElectromagnetic switch -- small signal controls large current circuitIsolating control from power, switching mains
SpeakerConverts electrical signal to sound wavesAudio output

Power Supplies

  • Batteries: portable DC supply. AA (1.5V), 9V PP3, lithium cells. Series connection adds voltages
  • Regulated power supply: mains AC converted to stable DC via transformer, rectifier, smoothing capacitor, voltage regulator (e.g. 7805 for 5V)
12 Electronic Circuits

Ohm's Law & Power

V V = I x R (Voltage = Current x Resistance)
P P = I x V = I2 x R = V2 / R (Power in watts)

Resistor Colour Code

ColourValueMultiplierTolerance
Black0x1--
Brown1x10+/-1%
Red2x100+/-2%
Orange3x1k--
Yellow4x10k--
Green5x100k+/-0.5%
Blue6x1M+/-0.25%
Violet7x10M+/-0.1%
Grey8----
White9----
Gold--x0.1+/-5%
Silver--x0.01+/-10%
Mnemonic: Better Be Right Or Your Great Big Venture Goes Wrong (Black Brown Red Orange Yellow Green Blue Violet Grey White)

Series & Parallel Resistors

Σ Series: R_total = R1 + R2 + R3 + ...
Parallel: 1/R_total = 1/R1 + 1/R2 + 1/R3 + ...

Potential Divider

Potential Divider Circuit
Vin ---[R1]---+---[R2]--- GND
|
Vout
V Vout = Vin x R2 / (R1 + R2)
  • Replace R1 or R2 with a sensor (LDR, thermistor) to create a sensing circuit
  • LDR as R1 (top): Vout increases as light increases (LDR resistance drops)
  • Thermistor as R1 (top): Vout increases as temperature increases (NTC resistance drops)

Kirchhoff's Laws

  • KCL (Current Law): The total current flowing into a junction equals the total current flowing out
  • KVL (Voltage Law): The sum of all voltages around any closed loop in a circuit equals zero (i.e. supply voltage = sum of voltage drops)

Capacitors

  • Store electrical charge (energy) in an electric field between two plates
  • Charging: current flows into capacitor, voltage across it increases exponentially until it reaches supply voltage
  • Discharging: stored energy released, voltage decreases exponentially
τ Time Constant: tau = R x C (in seconds). After 5 x tau, capacitor is ~99% charged/discharged.

Transistor as a Switch

NPN Transistor Switch
Vcc ---[Load (e.g. LED + R)]--- Collector
|
Input ---[R_base]--- Base (NPN)
|
Emitter --- GND
  • When base voltage exceeds ~0.7V, transistor switches ON, allowing current from collector to emitter
  • Small base current controls much larger collector current
  • Darlington pair: two transistors connected to give very high current gain (hFE = hFE1 x hFE2). Used when sensor signal is very weak

555 Timer

Monostable (one-shot): T = 1.1 x R x C (time period in seconds)
Astable: f = 1.44 / ((R1 + 2R2) x C) (frequency in Hz)
✎ Worked Example: 555 Monostable
Design a 555 monostable circuit with a time delay of 5 seconds using a 100 uF capacitor. Find the required resistance.
Step 1 Click to reveal REVEAL
Step 2 Click to reveal REVEAL
Step 3 Click to reveal REVEAL
✎ Worked Example: 555 Astable
A 555 astable circuit has R1 = 10 kohm, R2 = 47 kohm, and C = 10 uF. Calculate the frequency.
Step 1 Click to reveal REVEAL
Step 2 Click to reveal REVEAL
Step 3 Click to reveal REVEAL

Logic Gates

GateSymbolRuleA=0, B=0A=0, B=1A=1, B=0A=1, B=1
AND&Output = 1 only when ALL inputs = 10001
OR≥1Output = 1 when ANY input = 10111
NOT1 (single input)Output = opposite of inputInput 0 gives 1; Input 1 gives 0
NAND& + bubbleOpposite of AND1110
NOR≥1 + bubbleOpposite of OR1000
XOR=1Output = 1 when inputs are DIFFERENT0110
Exam tip: NAND gates are "universal" -- you can build any other logic gate using only NAND gates. You may be asked to show this.
✎ Worked Example: Ohm's Law
An LED requires 20 mA and has a forward voltage of 2V. If the supply is 9V, calculate the series resistor needed.
Step 1 Click to reveal REVEAL
Step 2 Click to reveal REVEAL
Step 3 Click to reveal REVEAL
13 Programmable Systems

Microcontrollers

PlatformFeaturesTypical Use
Arduino (ATmega328)Simple, digital and analogue I/O pins, 5V logic, huge community, C/C++ basedStudent projects, prototyping, simple control
PIC microcontrollerMicrochip brand, various models, used in CCEA coursework, flowchart programmingEmbedded systems, product development
Raspberry PiFull computer (runs Linux), GPIO pins, camera, networking, PythonIoT, media centres, robotics, server

Inputs & Outputs

  • Digital inputs: switches, buttons -- HIGH (1) or LOW (0)
  • Analogue inputs: sensors (LDR, thermistor, potentiometer) -- variable voltage read by ADC
  • Digital outputs: LEDs, buzzers, relays -- on or off
  • PWM outputs: Pulse Width Modulation -- rapid on/off to simulate analogue (motor speed, LED brightness)

Flowcharts for Programs

  • Start/End: rounded rectangle (terminator)
  • Process: rectangle (action to perform)
  • Decision: diamond (yes/no question)
  • Input/Output: parallelogram (read sensor / set output)
  • Flowcharts must have clear flow, with arrows showing direction

Programming Concepts

  • Variables: named storage locations for data (int, float, boolean)
  • Loops: repeat code -- FOR loop (set number of times), WHILE loop (condition-based)
  • Conditions: IF / ELSE statements -- make decisions based on input
  • Functions / subroutines: reusable blocks of code

PWM (Pulse Width Modulation)

  • Rapidly switches output on and off at fixed frequency
  • Duty cycle: percentage of time the signal is HIGH. 50% = half power, 100% = full power
  • Used for: motor speed control, LED dimming, servo position

ADC (Analogue to Digital Conversion)

  • Converts continuous analogue voltage to a digital number the microcontroller can process
  • Arduino ADC: 10-bit resolution -- values from 0 to 1023 (for 0V to 5V)
  • Higher bit resolution = more precise readings

Applications

  • Smart home: automated lighting, heating, security (PIR sensors, motorised locks)
  • Robotics: sensor-driven movement, obstacle avoidance, line following
  • Automation: conveyor control, sorting systems, pick-and-place
14 Advanced Design Principles

Inclusive Design & Ergonomics

  • Inclusive design: designing products usable by as many people as possible, regardless of age, ability, or situation
  • Ergonomics: designing products to fit the human body and its movements. Considers comfort, efficiency, safety
  • Key factors: grip size, reach, force required, visibility of controls, feedback (tactile, visual, auditory)

Anthropometrics

  • The study of human body measurements and proportions
  • Data collected from large populations, presented as percentiles (5th, 50th, 95th)
  • Design for the 5th to 95th percentile to accommodate 90% of users
  • Examples: seat height, door width, handle diameter, screen viewing distance
  • Adjustability built in to accommodate variation (e.g. adjustable office chair)

Aesthetics & Form

  • Visual appeal: shape, colour, texture, proportion, symmetry
  • Form follows function -- but aesthetics influence purchasing decisions
  • Target market influences aesthetic choices (children vs professional, budget vs premium)

Product Life Cycle

  • Introduction: new product launched, high costs, low sales, heavy marketing
  • Growth: sales increase, competitors enter, costs reduce with scale
  • Maturity: sales peak, market saturated, price competition
  • Decline: sales fall, product becomes outdated, may be withdrawn or relaunched

Planned Obsolescence

  • Deliberately designing products with a limited lifespan to encourage repurchase
  • Technical obsolescence: product stops working (e.g. battery sealed in, software updates)
  • Style obsolescence: product looks dated (e.g. fashion, phone design)
  • Ethical concerns: waste, environmental damage, consumer exploitation

Sustainability & Environmental Impact

  • 6 Rs: Reduce, Reuse, Recycle, Repair, Rethink, Refuse
  • Life Cycle Assessment (LCA): evaluates environmental impact from cradle to grave -- raw materials, manufacturing, transport, use, disposal
  • Carbon footprint, embodied energy, recyclability
  • Design for disassembly: parts can be separated for recycling
  • Use of recycled materials, biodegradable materials, renewable energy in production

Influential Designers

  • James Dyson: iterative development (5,127 prototypes for cyclone vacuum), user-centred design
  • Philippe Starck: aesthetics and form, accessible design (Juicy Salif lemon squeezer)
  • Dieter Rams: "Less but better", 10 principles of good design. Influenced Apple design
  • Ettore Sottsass: Memphis Group, bold colour and form in product design
15 Advanced Materials

Smart Materials (Advanced)

MaterialBehaviourApplications
Piezoelectric materialsGenerate voltage when deformed / deform when voltage appliedSensors, actuators, lighters, ultrasound transducers, energy harvesting
Electroluminescent materialsEmit light when electrical current passes throughBacklighting (watches, dashboards), safety strips, flexible displays
Quantum Tunnelling Composite (QTC)Insulator when relaxed, conductor when compressedPressure sensors, touch-sensitive switches, NASA space gloves

Nanomaterials

  • Materials engineered at nanoscale (1-100 nanometres)
  • Graphene: single layer of carbon atoms in hexagonal lattice. Strongest material known (200x stronger than steel), excellent conductor, transparent, flexible. Applications: touchscreens, batteries, composites, water filtration
  • Carbon nanotubes (CNTs): rolled graphene sheets. Exceptional strength and conductivity. Used in composite reinforcement, electronics, medical devices

Modern Composites

  • Advanced fibre placement (AFP): automated layup of carbon fibre for aerospace parts
  • Sandwich structures: lightweight core (honeycomb, foam) between strong skins
  • Hybrid composites: combining different fibres (carbon + Kevlar) for optimised properties

Biomaterials & Bio-based Plastics

  • PLA: derived from corn starch, biodegradable under industrial composting
  • PHA: produced by bacteria, fully biodegradable in natural environment
  • Bio-based PE: chemically identical to fossil PE but made from sugarcane ethanol
  • Mycelium-based materials: mushroom root structures grown into packaging/insulation

Material Selection Methodology

  • Define required properties (strength, weight, cost, corrosion resistance, etc.)
  • Screen materials that meet minimum requirements
  • Rank remaining candidates using weighted criteria
  • Ashby charts: material property charts plotting two properties against each other (e.g. strength vs density) to identify best material families for an application
  • Consider: availability, cost, sustainability, processability, joining compatibility
16 Advanced Manufacturing

CNC Machining

  • G-code: programming language for CNC machines (G00 rapid move, G01 linear feed, G02/G03 arcs)
  • CAM software generates G-code from CAD model (toolpaths, speeds, feeds)
  • Multi-axis CNC: 3-axis, 4-axis, 5-axis for complex geometries
  • Advantages: high accuracy (+/- 0.01mm), repeatability, unmanned operation, complex shapes

Rapid Prototyping

  • Quick production of physical models from CAD data
  • FDM, SLA, SLS (as covered in AS1), plus: Multi Jet Fusion (MJF), Direct Metal Laser Sintering (DMLS)
  • Advantages: fast design iteration, functional testing, reduced time to market
  • Moving beyond prototyping into direct digital manufacturing for end-use parts

Laser Cutting & Engraving

  • CO2 laser: cuts acrylic, MDF, plywood, card, fabric. Engraves glass, leather
  • Fibre laser: cuts metals (steel, aluminium, brass)
  • Kerf: width of material removed by the laser beam (typically 0.1-0.3mm)
  • Vector cutting (through material) vs raster engraving (surface marking)

Automated Systems

  • Industrial robots: 6-axis articulated arms for welding, painting, assembly, pick-and-place
  • Flexible Manufacturing Systems (FMS): CNC machines + robots + AGVs (Automated Guided Vehicles) connected by computer. Can switch between products without retooling
  • Computer Integrated Manufacturing (CIM): full integration of CAD, CAM, production planning, quality control, stock control under one computer system

Industry 4.0

  • The "fourth industrial revolution" -- smart, connected, data-driven manufacturing
  • IoT (Internet of Things): machines with sensors connected to internet, sharing data in real-time
  • AI in manufacturing: predictive maintenance (anticipating failures), quality inspection, process optimisation
  • Digital twins: virtual replica of a physical system. Simulate and optimise before making changes to real system
  • Big data analytics, cloud computing, cyber-physical systems

Quality Systems

  • ISO 9001: international standard for quality management systems. Documented procedures, audits, continuous improvement
  • Six Sigma: data-driven methodology to reduce defects to fewer than 3.4 per million. DMAIC: Define, Measure, Analyse, Improve, Control
  • TQM (Total Quality Management): quality is everyone's responsibility, company-wide culture of continuous improvement
17 Advanced Mechanisms

Compound Gear Trains

  • Two or more pairs of meshing gears on separate shafts
  • A compound gear has two gears fixed on the same shaft (they rotate together)
  • Used to achieve large gear ratios in a compact space
Overall GR = (Driven1/Driver1) x (Driven2/Driver2) x ...
✎ Worked Example: Compound Gear Train
Gear A (driver, 20 teeth) meshes with Gear B (60 teeth). Gear C (15 teeth, on same shaft as B) meshes with Gear D (45 teeth). Input speed is 1800 rpm. Find the output speed.
Step 1 Click to reveal REVEAL
Step 2 Click to reveal REVEAL
Step 3 Click to reveal REVEAL

Torque & Efficiency

T Torque = Force x Radius (units: Nm)
η Efficiency = (Power out / Power in) x 100%
P Power = Torque x Angular Velocity (P = T x omega) where omega = 2 x pi x n/60 (n in rpm)
✎ Worked Example: Efficiency
A gear system has an input torque of 5 Nm at 600 rpm and an output torque of 14 Nm at 200 rpm. Calculate the efficiency.
Step 1 Click to reveal REVEAL
Step 2 Click to reveal REVEAL
Step 3 Click to reveal REVEAL

Cam Profiles

  • Uniform velocity: linear rise and fall. Follower moves at constant speed. Causes sudden acceleration/deceleration at transitions (shock loading)
  • Simple harmonic motion (SHM): smooth sinusoidal profile. Follower accelerates and decelerates smoothly. Used for medium speeds
  • Uniform acceleration and deceleration: parabolic profile. Smoothest motion, lowest peak acceleration. Best for high-speed applications

Follower Types

  • Knife-edge follower: simple point contact. Wears quickly. Good for complex cam profiles
  • Roller follower: roller reduces friction and wear. Most common in engineering
  • Flat-foot (mushroom) follower: wide contact area, lower contact stress. Cannot follow concave profiles

Crank Mechanisms

  • Dead points: positions where the crank and connecting rod are in line (Top Dead Centre and Bottom Dead Centre). No force can be applied by the slider to turn the crank at these points
  • Flywheel stores energy to carry mechanism through dead points
  • Quick-return mechanism: output stroke takes less time than return stroke (e.g. shaping machine)
18 Advanced Electronics

Operational Amplifiers (Op-Amps)

  • High-gain differential amplifier IC (e.g. 741, TL081)
  • Two inputs: inverting (-) and non-inverting (+)
  • Requires dual power supply (typically +/-15V or +/-9V)
  • Open-loop gain is very high (~100,000) -- practically infinite for calculations
  • Negative feedback is used to set a controlled, predictable gain

Inverting Amplifier

Inverting Amplifier
Vin ---[Rin]---(-) Op-Amp --- Vout
| |
+----[Rf]----+
(+) connected to GND (0V)
A Gain = -Rf / Rin (negative sign means output is inverted -- 180 degrees phase shift)

Non-Inverting Amplifier

Non-Inverting Amplifier
Vin ---(+) Op-Amp --- Vout
(-) ---[R1]--- GND
(-) ---[Rf]--- Vout
A Gain = 1 + Rf / Rin (output is in phase with input, gain is always >= 1)
✎ Worked Example: Inverting Op-Amp
An inverting amplifier has Rin = 10 kohm and Rf = 47 kohm. If Vin = 0.2V, find the gain and Vout. The supply is +/-9V.
Step 1 Click to reveal REVEAL
Step 2 Click to reveal REVEAL
Step 3 Click to reveal REVEAL
✎ Worked Example: Non-Inverting Op-Amp
A non-inverting amplifier has R1 = 4.7 kohm and Rf = 47 kohm. Calculate the gain.
Step 1 Click to reveal REVEAL
Step 2 Click to reveal REVEAL

Comparator

  • Op-amp used without feedback (open loop)
  • Compares voltages at the two inputs
  • If V(+) > V(-): output goes to positive saturation (+Vcc)
  • If V(-) > V(+): output goes to negative saturation (-Vcc)
  • Used with potential dividers and sensors for threshold detection (e.g. "turn on heater when temperature drops below set point")

Summing Amplifier

  • Multiple inputs connected to the inverting input through separate resistors
  • Output is the inverted sum of all inputs (scaled by their respective resistor ratios)
  • Used in audio mixing, DACs (digital to analogue converters)
Σ Vout = -Rf x (V1/R1 + V2/R2 + V3/R3 + ...)

PCB Design & Manufacture

  • PCB designed in software (e.g. KiCad, Eagle, EasyEDA)
  • Schematic capture then PCB layout (routing tracks)
  • Manufacturing: etching (photo-resist + UV exposure + ferric chloride) or CNC milling
  • Through-hole (THT): component leads go through holes, soldered on opposite side. Easier to solder by hand, bulkier
  • Surface mount (SMT): components soldered directly to pads on board surface. Smaller, automated placement (pick and place), suited to mass production
19 Control Systems

Open Loop vs Closed Loop

FeatureOpen LoopClosed Loop
FeedbackNo feedbackHas feedback sensor
AccuracyCannot correct errorsSelf-correcting
ExampleToaster (timer only)Central heating (thermostat)
ComplexitySimple and cheapMore complex and expensive
Response to disturbanceCannot compensateAdjusts automatically
Closed Loop System
Set Point ---> [Comparator] ---> [Controller] ---> [Process] ---> Output
^ |
+-------------- [Sensor/Feedback] <--------------+

Feedback

  • Negative feedback: output is compared to desired value; any error is corrected in the opposite direction. Stabilises the system. Most control systems use this
  • Positive feedback: output reinforces itself, causing the system to move further from equilibrium. Usually unwanted (e.g. microphone feedback squeal). Used deliberately in oscillator circuits and comparator circuits with hysteresis

PID Control (Conceptual)

  • P (Proportional): corrective action proportional to the current error. Large error = large correction. Fast but may oscillate around set point
  • I (Integral): accumulates past errors over time. Eliminates steady-state error. Slow to respond
  • D (Derivative): responds to rate of change of error. Anticipates future error. Reduces overshoot and oscillation
  • PID combines all three for optimal control. Used in temperature control, motor speed, robotic arm positioning

Pneumatic Systems

  • Use compressed air to create motion
  • Single-acting cylinder: air pressure extends piston, spring returns it
  • Double-acting cylinder: air pressure extends and retracts piston (ports on both sides)
  • Valves: 3/2 valve (3 ports, 2 positions), 5/2 valve (5 ports, 2 positions)
  • Advantages: clean, fast, safe (no electrocution risk), simple maintenance
  • Disadvantages: noisy, limited force (compared to hydraulics), compressible air makes precise control harder

Hydraulic Systems

  • Use pressurised fluid (oil) to transmit force
  • Pascal's law: pressure applied to an enclosed fluid is transmitted equally in all directions
P Pressure = Force / Area (Pa or N/m2)
  • Force multiplication: small piston (small area) pushes fluid to large piston (large area) = force multiplied
  • Advantages over pneumatics: much greater force, incompressible fluid gives precise control, smooth operation
  • Disadvantages: oil leaks are messy and hazardous, heavier, more expensive, slower
  • Applications: excavators, car brakes, hydraulic presses, aircraft landing gear
✎ Worked Example: Hydraulics
A hydraulic system has a small piston of area 0.002 m2 and a large piston of area 0.04 m2. If a force of 100 N is applied to the small piston, what force is exerted by the large piston?
Step 1 Click to reveal REVEAL
Step 2 Click to reveal REVEAL
Step 3 Click to reveal REVEAL
REF All Key Formulas

Mechanisms & Structures

Gear Ratio = Driven Teeth / Driver Teeth
Output Speed = Input Speed / Gear Ratio
Compound GR = GR1 x GR2 x GR3 ...
Moments: Effort x d_effort = Load x d_load
Mechanical Advantage = Load / Effort
Velocity Ratio = Distance by Effort / Distance by Load
ηEfficiency = (MA / VR) x 100% = (Power Out / Power In) x 100%
TTorque = Force x Radius (Nm)
PPower = Torque x Angular Velocity (omega = 2*pi*n/60)
σStress = Force / Area (Pa or MPa)
εStrain = Extension / Original Length (no units)
EYoung's Modulus = Stress / Strain (Pa or GPa)
FoSFactor of Safety = Failure Stress / Working Stress
PPressure = Force / Area (Pa or N/m2) [hydraulics]

Electronics

VV = I x R (Ohm's Law)
PP = IV = I2R = V2/R (Power)
ΣSeries: R_total = R1 + R2 + ...
Parallel: 1/R_total = 1/R1 + 1/R2 + ...
VPotential Divider: Vout = Vin x R2 / (R1 + R2)
τTime Constant: tau = R x C
555 Monostable: T = 1.1 x R x C
555 Astable: f = 1.44 / ((R1 + 2R2) x C)
AInverting Op-Amp Gain = -Rf / Rin
ANon-Inverting Op-Amp Gain = 1 + Rf / Rin
ΣSumming Amp: Vout = -Rf(V1/R1 + V2/R2 + ...)
REF Resistor Colour Code
ColourDigitMultiplierTolerance
Black0x1 (10^0)--
Brown1x10 (10^1)+/-1%
Red2x100 (10^2)+/-2%
Orange3x1k (10^3)--
Yellow4x10k (10^4)--
Green5x100k (10^5)+/-0.5%
Blue6x1M (10^6)+/-0.25%
Violet7x10M (10^7)+/-0.1%
Grey8----
White9----
Gold--x0.1+/-5%
Silver--x0.01+/-10%
4-band resistor: Band 1 (1st digit) + Band 2 (2nd digit) + Band 3 (multiplier) + Band 4 (tolerance). Example: Brown-Black-Red-Gold = 10 x 100 = 1000 ohms = 1 kohm, +/-5%
REF Logic Gate Truth Tables
ABANDORNANDNORXOR
0000110
0101101
1001101
1111000
ANOT A
01
10
Quick memory aids:
AND = "both must be 1"
OR = "at least one must be 1"
XOR = "one or the other, but not both"
NAND/NOR = just flip the AND/OR outputs
REF Material Properties Comparison

Metals Comparison

MaterialDensity (g/cm3)Tensile Strength (MPa)HardnessCorrosion Resist.Cost
Mild steel7.85400-550MediumPoorLow
High carbon steel7.85600-900HighPoorLow-Med
Stainless steel7.9500-700HighExcellentMedium
Cast iron7.2150-400 (tensile)Very highMediumLow
Aluminium2.770-700*Low-MedGoodMedium
Copper8.9210-380Low-MedGoodHigh
Brass8.5340-470MediumGoodMed-High
Titanium4.5240-1400*Medium-HighExcellentVery high

* Range depends on alloy and heat treatment

Common Tolerances

ProcessTypical Tolerance
Sand casting+/- 1.5 mm
Die casting+/- 0.25 mm
CNC milling+/- 0.025 mm
CNC turning+/- 0.025 mm
Grinding+/- 0.005 mm
Laser cutting+/- 0.1 mm
3D printing (FDM)+/- 0.3 mm
3D printing (SLA)+/- 0.05 mm
Injection moulding+/- 0.1 mm
TIP Design Portfolio Best Practices

Structure Your Folio

  • Follow the CCEA mark scheme closely -- it tells you exactly what they want
  • Typical structure: Situation and Brief > Research > Specification > Design Ideas > Development > Planning for Making > Making > Testing and Evaluation
  • Every page should have a clear purpose and title
  • Use a consistent layout, font, and colour scheme throughout
  • Page numbers and contents page for easy navigation

Writing a Strong Specification

  • Each point must be measurable and testable
  • Bad: "It should be strong" -- Good: "It must support a minimum load of 5 kg without permanent deformation"
  • Bad: "It should look nice" -- Good: "The product must appeal to the target market (15-18 year olds) as confirmed by user survey"
  • Include quantitative targets wherever possible (dimensions, weight, cost, performance)

Research That Scores Marks

  • Analyse existing products: photograph, measure, note materials, evaluate strengths/weaknesses
  • User surveys/interviews: show actual results, not just "I asked people"
  • Material research: reference data sheets, not just internet descriptions
  • Draw conclusions from research -- how will each piece of research influence your design?
TIP Sketching & Rendering Techniques

Sketching Tips

  • Use crating (construction lines) to build up 3D forms
  • Sketch lightly first, then go over with confident, darker lines
  • Always annotate sketches -- explain materials, dimensions, features, how it works
  • Show multiple views: 3D perspective + orthographic for detail
  • Sketch at least 4-6 different concepts before choosing one to develop
  • Show design evolution -- how each idea builds on the previous one

Rendering Tips

  • Identify your light source and keep it consistent across the drawing
  • Use marker pens for broad areas of colour, coloured pencils for detail and blending
  • Leave white highlights for shiny/reflective surfaces (metal, glass)
  • Use a white pencil or gel pen for final highlights
  • Show material textures: wood grain, brushed metal, matt plastic
  • Add a shadow/ground plane to anchor the product

CAD Presentation

  • Show multiple views: isometric, exploded, section, rendered
  • Apply realistic materials and textures
  • Use studio-style lighting and neutral background for renders
  • Include dimensioned orthographic drawings (3rd angle projection preferred for CCEA)
  • Show the product in context (in use, with a human figure for scale)
TIP Model Making & Manufacturing Documentation

Model Making

  • Start with quick card models to test ergonomics and proportions
  • Use foam board or blue foam for 3D forms (easy to shape with hot wire cutter or sandpaper)
  • 3D print key components to test fits and mechanisms
  • Document the model-making process with photographs at each stage
  • Evaluate the model -- what did you learn? What would you change?

Evaluation Frameworks

  • Evaluate against every specification point -- use a table format
  • Include user testing: get real users to try the product, record their feedback
  • Be honest about weaknesses -- examiners value critical evaluation over unsubstantiated praise
  • Suggest specific, realistic improvements (not "I would make it better")
  • Consider commercial viability: could it be manufactured? At what cost? Who would buy it?

Photography for Portfolios

  • Use good lighting -- natural daylight or softbox. Avoid harsh shadows
  • Plain background (white or neutral) so the product is the focus
  • Multiple angles: front, side, top, detail close-ups
  • Include a scale reference (ruler or hand) in at least one photo
  • Photograph the product in use (in context)
  • High resolution, properly focused, no clutter

Documenting Manufacturing

  • Create a detailed manufacturing plan before you start making
  • Include: step sequence, tools/equipment needed, materials, safety precautions, quality checks
  • Photograph each key stage of manufacture
  • Note any changes from your plan and explain why
  • Include time planning (Gantt chart)
  • Show quality checks: measurements, fit tests, surface finish checks
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