ENGINEERING STUDIES ATAR COURSE DATA BOOK 2021

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ENGINEERING STUDIES ATAR COURSE DATA BOOK 2021
ENGINEERING STUDIES
               ATAR COURSE

                      DATA BOOK

                               2021

2021/1046    Engineering Studies Data Book updated January 2021
ENGINEERING STUDIES                            2              DATA BOOK
CORE CONTENT
CONTENT                                                          PAGES

Core content
Base International System (SI) units
Selected derived SI units
Other units
SI prefixes
Common constant                                                    3–5
General formulae
  Right triangular plane figures
  Circles, cylinder and sphere figures
  Density, energy and efficiency
Materials properties

Specialist field mechanical
Materials formulae
Statics formulae
Selected derived SI units
                                                                   6–9
Common constant
Statics – second moment of area for material cross sections
Statics – deflection of beams
Dynamics formulae

Specialist field mechatronics
Base International System (SI) units
Selected derived SI units
Law and principle formulae
Mechanics formulae
                                                                  10–15
Standard circuit symbols
Resistor colour codes
Diode and transistor
Standard microcontroller chip
Flow chart symbols
DATA BOOK                                           3                          ENGINEERING STUDIES
                                                                                     CORE CONTENT

Base International System (SI) units

                                                                             SI units
                   Quantities
                                                                 Names                  Symbols
Length                                                            metre                    m
Mass                                                           kilogram                   kg
Time                                                             second                    s

Selected derived SI units

                Derived quanties                                 Names                  Symbols
Energy, work, quantity of heat                                    joule                    J
Power                                                             watt                    W
Area                                                         square metre                 m2
Volume (gas)                                                 cubic metre                  m3
Speed, velocity                                          metre per second                m s–1
Mass density                                        kilogram per cubic metre             kg m–3

Other units

                Derived quanties                                 Names                  Symbols
Temperature (Celsius)                                     degrees Celsius                 °C
Volume (liquid)                                                   litre                    L

SI prefixes

        Prefixes         Abbreviations                                    Multipliers
Tera                             T       10   12
                                                        = 1 000 000 000 000
Giga                            G        10   9
                                                        = 1 000 000 000
Mega                            M        106            = 1000 000
Kilo                             k       10   3
                                                        = 1000
                                         10   0
                                                        =1
Milli                           m        10   –3
                                                        = 0.001
Micro                            µ       10–6           = 0.000 001
Nano                             n       10   –9
                                                        = 0.000 000 001
Pico                             p       10   –12
                                                        = 0.000 000 000 001

Common constant

         Item               Symbol                                          Value
Pi                              π             3.14159
ENGINEERING STUDIES                          4                     DATA BOOK
CORE CONTENT

General formulae

         Right triangular plane figures             Formulae

 Pythagoras (side lengths)                          h2 = o2 + a2
                                                            a
                                                    cos θ = h

                                                              o
 Angular relationships                              sin θ =
                                                              h
                                                            o
                                                    tan θ = a

      Circles, cylinder and sphere figures           Formulae

 Circumference [C ] of a circle                       C = πd
 Area [A] of a circle                                 A = πr2
 Surface area [A] of open-ended cylinder              A= πdh

 Surface area [A] of a sphere                        A = 4πr2

 Volume [V ] of a cylinder                           V = πr2 h
                                                        4
 Volume [V ] of a sphere                            V = 3 πr3

         Density, energy and efficiency              Formulae
                                                         m
 Density [ρ]                                          ρ= V

 Energy [E]                                           E = Pt

                                                      output
 Efficiency [η] %                                η% = input × 100
DATA BOOK                                            5                       ENGINEERING STUDIES
                                                                                   CORE CONTENT

Materials properties (at room temperature)

                               Elastic          Ultimate                      Electrical
                                                                    Yield                    Thermal
                  Density     (Young’s)          tensile *                  conductivity
   Materials                                                       stress                  conductivity
                   kg m-3      modulus          strength
                               kN mm –2         N mm–2
                                                                  N mm–2    Ω–1m–1 × 106    W m–1 K–1
Structural
                     7850           200                  470         250           13.00             46
steel
Stainless steel      7600           200                  860         502            1.35             16
Cast iron            7200           120                  180                       10.30             80
Wrought iron         7750           200                                            10.30             80

Aluminium            2710             70                 150           95          37.70            237
Brass                8740             90                 190           50          16.70            109
Copper               8930            112                 210           70          59.50            401
Zinc                 7130           108                  200        13.80          16.80            116
Solder               9280           23.7                     37         –           7.28          43.60

                                                             40
Concrete             2400             30                                                           0.80
                                              (compressive)

Timber
(parallel to                          12                 105                                       0.16
grain)
Polypropylene        1240                 4       19.7 – 80            50                          0.13
Polycarbonate        1200           2.30                     70                                    0.19
ABS plastics                        2.30                     40     48.30                          2.34
Nylon                1160          2–4                       75        45
Acrylic              1190           3.20                     70     73.70                          0.19

Glass                2500             69                            3600                           1.05
Diamond              3520          1000                            50 000                         2320
Gold               19 320             82                 220           40          44.60            318

Ice                   931 9.17(@–5°C)                                  85                  2.25(@–5°C)
Pure water           1000
Sea water            1022

Petrol                740                                                                          0.15
Crude oil             800                                                                          0.15

* Unless noted as compressive strength.
ENGINEERING STUDIES                            6                                    DATA BOOK
SPECIALIST FIELD MECHANICAL

Materials formulae

                   Parameters                                    Formulae
                                                                       F
Stress [σ]                                                        σ=
                                                                       A
                                                                       ΔL
Strain [ε]                                                        ε=
                                                                       L
Young’s modulus [E ]                                                σ
                                                                 E =ε
(elastic modulus)

Young’s modulus [E ]                                                  FL
                                                                 E = AΔL
expanded formula
                                                                        σ
Factor of Safety [FS ]                                          FS = σ UTS
                                                                      safeworking

Statics formulae

                   Parameters                                    Formulae

Moment [M] of a force                                            M = Fd

                                                               ∑M = 0
Equilibrium conditions                                         ∑Fy = 0
                                                               ∑ Fx = 0

                                                            ΣCWM = Σ ACWM
Equilibrium conditions (expanded)                           Σ F(up) = ΣF(down)
                                                            ΣF(left) = ΣF(right)

Selected derived SI units

                                                   Derived SI units
   Derived quantities
                             Names      Symbols    Expression in terms of derived SI units

Force                        newton       N                               –
Pressure, stress              pascal      Pa                          N m–2
Energy, work                    joule      J                           Nm

Common constant

          Item              Symbol                             Value
Gravity                         g         9.80 m s –2
DATA BOOK STUDIES
ENGINEERING                                             78     ENGINEERINGDATA  BOOK
                                                                             STUDIES
ENGINEERING  STUDIES                                     8
                                                       SPECIALIST FIELD   DATA BOOK
                                                                        MECHANICAL
SPECIALIST
 MECHANICALFIELD MECHANICAL            8                          SPECIALIST FIELD
SPECIALIST
 MECHANICALFIELD MECHANICAL            8                          SPECIALIST FIELD
  Statics –moment
 Second     secondof
                   moment
                     area of area for material cross sections
 Second moment of area
                                                                             Second
                                                                          Second    moment
                                                                                  moment      of area
                                                                                          of area
          Shapes
           Shape                            Dimensions                    Second moment   of area
           Shape                            Dimensions                        about centroidal axis
                                                                           about centroidal axis
                                                                           about centroidal axis
                                                   b
                                                   b

ENGINEERING STUDIES                                     8                                          DATA BOOK
SPECIALIST
 MECHANICAL    FIELD MECHANICAL               8                                     SPECIALIST
                                                                                             3 FIELD
    Vertical
    Rectanglerectangle
                solid section h
                                                                                         3
                                                                                          bh      bh
    Rectangle   solid section                                                              Ixx3 =
                                                                                   I xx = bh
    solid section
            (vertical)
 Second moment of area
           (vertical)
                              h                                                   I xx = 12 12
                                                                                          12
           Shape                            Dimensions                    Second moment of area
                                                                           about centroidal axis

                                                   b

                                                   DD
                                                  DD

    Rectangle solid section            h                                                  bhD3 4
    Circular solid section
           (vertical)
                                                                                  IIxx == ππD 4
                                                                                                 πD4
    Round                                                                            xx    12
                                                                                           I  =
    Circular solid section         x                                 x            I xx = xx64 64
    solid section                 x                                 x                       64

                                                  D
                                                  D
                                                  D
                                                  D

                                                  D
                                                  DDo                                     π (D4 − D4 )
                                                                                   I xx = π ( Do4o − Di4i )
                                                                                  I xx =         64
    Circular tube section                                                                       64
    Circular tube section          x                                 x
                                  x                                 x     Do = cylinder outside      4 diameter
    Circular solid
             tube section                         Di                     DDo i= =cylinder
                                                                                  cylinder    D π(D
                                                                                            πoutside
                                                                                                4
                                                                                              inside    – D 4i)
                                                                                                     odiameter
                                                                                                      diameter
    Circular                                                                            I    =
                                                                                    I xx =xx inside diameter
    section                       x                                 x    Di = cylinder        64 64
                                                               tt
                                                              tt

                                                  D
                                                  D
    Terms:
    b = base
    D = diameter                                                                           π ( Do4 − Di4 )
                                                                                  I xx =
    Di = diameter (inside)                                                                      64
    Circular  tube(outside)
    Do= diameter   section
                                  x                                 x
    h = height                                                           Do = cylinder outside diameter
    Ixx = second moment of area for material cross sections              Di = cylinder inside diameter
                                                              tt
ENGINEERING STUDIES                           8                                     DATA BOOK
SPECIALIST FIELD MECHANICAL

Statics – deflection of beams

                                                           Maximum                 Maximum
               Beam configurations                      bending moment             deflection
                                                             (BMmax )                 ( y)
Cantilevered beam – single load at unsupported end
                                              F                                       FL3
                                                        BMmax = FL at A        y=          at B
       A                                           B                                 3EIxx

Cantilevered beam – universally distributed load
                      FUDL = ωL                                                  FUDL L3
       A                                          B           FUDL L
                                                       BMmax = 2 at A         y = 8EI at B
                                                                                     xx

Centrally loaded beam – simply supported at both
ends
                         F                                                         FL3
                                                                FL
      A                                       B          BMmax = 4 at C       y = 48EI at C
                                                                                      xx

                         C

Universally loaded beam – simply supported at both
ends

      A              FUDL = ωL                B               FUDL L      5FUDL L3
                                                       BMmax = 8 at C y = 384EI at C
                                                                                xx

                          C

 Terms:
 E = elastic (Young’s) modulus of the material of the beam
 F = single vertical point load
 FUDL = product of the UDL’s applied load/unit length and the length of the beam
 Ixx = second moment of area of the beam section
 L = length of beam between supports
 ω = uniformly distributed load per unit length
DATA BOOK                9                ENGINEERING STUDIES
                                  SPECIALIST FIELD MECHANICAL

Dynamics formulae

      Parameters                     Formulae

 Force [F]                      F = ma
                                     v–u
 Acceleration [a]               a=
                                      t

 Velocity [v]                v 2 = u2 +2as

                                        1 2
 Distance [s]                s = ut +     at
                                        2

 Work [W]                       W = Fs
                                  Fs
 Power [P]                   P=      =Fv
                                   t
 Potential energy [Ep]        Ep = mgh

                                     1
 Kinetic energy [Ek]          Ek =     mv2
                                     2
 Energy conversion             ΔEp = ΔEk
ENGINEERING STUDIES                                10                                  DATA BOOK
SPECIALIST FIELD MECHATRONICS

Base International System (SI) units

                      Unit            Electrical                   Expression in terms of
  Unit name                                             Symbol
                  abbreviation        parameter                       derived SI units
   ampere                 A            Current             I                  W V–1

Selected derived SI units

                     Unit          Electrical                      Expression in terms of
 Unit names                                             Symbols
                 abbreviations    parameters                          derived SI units
     volt                 V            Voltage            V                   W A–1
     ohm                  Ω           Resistance          R                   V A–1
     farad                F       Capacitance             C                   A s V–1
     watt                 W             Power             P                    J s–1
     hertz                Hz          Frequency           f                     s–1

Law and principle formulae

                         Parameters                                   Formulae
                                                                               V2
Relationships between Ohm’s law and power formula                 P = VI = I 2R =
                                                                                R
Power [P]                                                              V   P    V2
                                                                  R=     = 2 =
                                                                       I   I    P
Resistance [R]
                                                                           P
                                                                  V = IR =   = √PR
Voltage [V]                                                                I
                                                                      V    P     P
Current [I]                                                       I=     =   =
                                                                      R    V     R
 Electrical energy [Ee]                                                 Ee = VIt
 Kirchhoff’s first law                                                   ΣI= 0
 Kirchhoff’s second law                                                 ΣΔV= 0
 Resistance [R] in series                                          RT= R1+R2+ ...
                                                                  1  1 1
 Resistance [R] in parallel                                         = + + ...
                                                                  RT R1 R2
                                                                    Vcc= V1 + V2
                                                                                 R1
                                                                    V1= Vcc
 Voltage dividers                                                             R1 + R2
                                                                                 R2
                                                                    V2= Vcc
                                                                              R1 + R2
                                                                         Vcc – VLED
 Resistor [R ] in series with an LED                               R=
                                                                            ILED
                                                                   1 1   1
                                                                             ...
 Capacitance [C ] in series                                        C C1 C2 +
                                                                    =  +

 Capacitance [C ] in parallel                                     C = C1 + C2 + ...
DATA BOOK                                         11              ENGINEERING STUDIES
                                                        SPECIALIST FIELD MECHATRONICS

Mechanics formulae

                    Parameters                                          Formulae
                                                                          load
Mechanical Advantage [MA]                                             MA= effort

                                                                            deffort
Velocity Ratio [VR]                                                    VR = d
                                                                              load

                                                                      Ø follower pulley
Pulley belt ratio                                             VR =
                                                                       Ø driver pulley

                                                                     no teeth follower gear
Chain and sprocket ratio                                  VR =
                                                                      no teeth driver gear

                                                                     no teeth follower gear
Gear ratio                                                VR =
                                                                      no teeth driver gear

Velocity ratios [VR] for gear/pulley trains                             F1 F2 F3
                                                                VR =             ...
comprised of 3 or more gears/pulleys                                    D1 D2 D3

                                                                     no teeth worm wheel
Worm and worm wheel ratio                                 VR =
                                                                               1

                                                                 no teeth pinion × revolutions
Rack and pinion                                  distance =
                                                                    no teeth per metre rack

Linear velocity [v] of belt or cable driven by                       (RPM) (2�r) s
                                                               v=               =
pulley or drum                                                           60       t

                                                                               Input speed (r.p.m.)
Speed of rotation (r.p.m.)                         Output speed (r.p.m.) =
                                                                                       VR
Cell                                      Cell       Light
                                                                                   dependent
                              Cell                                                 Light                                NPNdependent
                                                                                                                                 transistor                         NPN t
                                     DATA BOOK                                     dependent
                                                                                   resistor                 11          NPNresistor
                                                                                                                                 transistorENGINEERING               STUD
                              Cell                                                 dependent                            NPN      transistor       Light
                                    SPST switch                                    resistor
                                                                                   (LDR)
                                                                                   resistor                             SPECIALIST
                                                                                                                               (LDR)           FIELD      MECHATRON
                 ENGINEERINGSPECIALISTSTUDIES FIELD                                  12Cell
                                                                                   (LDR)         11                                    DATA dependent
                                                                                                                                                  BOOK  MECHATRONIC
                 DATA    BOOK                                                      (LDR)
                                                                                       11          DC   motor        ENGINEERING                  resistor
                                                                                                                                                 STUDIES
                 SPECIALIST
                 DATA BOOK        FIELD       MECHATRONICS                             11
                                                                                     Thermistor                      ENGINEERING
                                                                                                                          Integrated            STUDIES
                                     Standard       symbols Battery Thermistor                                                    Thermistor      (LDR)              Integr
                          Battery  SPDT      switch                                              SPECIALIST
                                                                                                SPECIALIST   IC       FIELD
                                                                                                                      FIELD
                                                                                                                          circuit  MECHATRONICS
                                                                                                                          Integrated
                                                                                                                                   MECHATRONICS              IC
                  SPECIALIST
                 SPECIALIST
                          Battery FIELD
                                 FIELD                                     11
                                                                          11         Thermistor              IC                  MECHATRONICS
                                                                                                                          Integrated
                                                                                                                                MECHATRONICS                         circui
                 Standard    circuit symbols
                          Battery                                                                            IC           circuit
                                                                                                                          circuit                   Thermistor
                  Standard symbols
                              symbols                                                  Battery                    Light                                                   IC
                 Standard                                Cell                    Non-polarised        Servo                   Non-polarised
                                                                                                                  dependent                                NPN   transistor
                                                                                 Non-polarised
                                                                                 capacitor
                                                                                 Non-polarised                    resistorcapacitor
                                                                                 capacitor   Light
                                                                                            Light       DATA      BOOK  Voltmeter                                   Voltme
                                   DPDT  DCswitch
                                               Power                             capacitor
                                                                                      DC Power
                                                                                 Polarised                        (LDR) Voltmeter
                                                                                                                              Polarised        Non-polarised
                                   Cell
                                  Cell DC     DATA
                                               Power  BOOK
                                                                                 Polarised   dependent
                                                                                            dependent     11            Voltmeter  NPN ENGINEERING
                                                                                                                                           transistor         STUDIES
                                         supply
                                         DC    Powerunit                              supply
                                                                                 capacitor      unit SPECIALIST                    NPN
                                                                                                                               FIELD
                                                                                                                              capacitor    transistor
                                                                                                                                               capacitor             11
                                         supply     unit                         Polarised   resistor
                                                                                            resistor               SPECIALIST          FIELD       MECHATRONICS
                                         (PSU)SPECIALIST
                                         supply unit
                                                              FIELD              capacitor
                                                                                      (PSU)      11                 Thermistor                   MECHATRONICS
                                                                                                                                                            Integrated
                                         (PSU)                                   capacitor   (LDR)
                                                                                            (LDR)     DC   Power                               Polarised
                                                                                                                                                 IC
                                                         Battery                                          SPDT
                                         (PSU)Standard symbols                    Diode
                                                                                      AC    Power       Standard
                                                                                                      supply     unitrelay
                                                                                                                         Ohmmeter
                                                                                                                         symbols
                                                                                                                              Diode
                                                                                                                        Ohmmeter               capacitor
                                                                                                                                                            circuit Ohmm
                                  Push to make switch                            Diode                                  Ohmmeter
                                                                                 Diode          unit (PSU)
                                                                                               Thermistor
                                                                                      supplyThermistor                              Integrated
                                                                                                                                    Integrated
                          Fuse Battery
                                   Battery                          Fuse                                        Light    IC
                                                                                                                        IC
                                                                                                                 Non-polarised      circuit Diode
                          Fuse BOOK                                                   (PSU)                                         circuit
                         DATA
                          Fuse                                 Cell               Light emitting11              dependent
                                                                                                                 capacitor    Light
                                                                                                                           Ammeter
                                                                                                                               Cell   emittingNPN transistor
                                                                                                                                ENGINEERING               STUDIES
                                  Push to break switch                           Light   emitting                                    Ammeter
                                                                                  diode
                                                                                 Light     (LED)
                                                                                         emitting               resistor diode
                                                                                                         SPECIALIST                    (LED)
                                                                                                                                     Ammeter
                                                                                                                                 FIELD       MECHATRONICS  Voltmeter
                         SPECIALIST FIELD                                 DC Power   11Fuse
                                                                                 diode    (LED)
                                                                                           Non-polarised
                                                                                          Non-polarised          Polarised Ammeter
                                                                                                                (LDR)                     MECHATRONICS
                78XX         Voltage regulator 78XX                      Voltage diode
                                                                          supply unit     (LED)
                                                                                      regulator           DPDT       relay                      Light emitting
                             Voltage regulator                                             capacitor ENGINEERING capacitor
         DATA78XX BOOK
               78XX Standard Voltagesymbols
                                         regulator                          11
                                                                          (PSU)
                                                                                          capacitor               Thermistor          STUDIES
                                                                                                                                   Voltmeter    diode    (LED)
                                                                                                                                                    Integrated
                                   Resistor DC     DC Power
                                                         Power Battery                                                             Voltmeter
                                                                                                                                         IC
                                                                          78XX          SPECIALIST
                                                                                           Polarised
                                                                                          Polarised
                                                                                           Voltage Lamp    FIELD
                                                                                                      regulator         MECHATRONICS                circuit Ohmmeter
         SPECIALIST FIELD   Resistor               supply unit  11
                                                             unit                                             (also
                                                                                                                 DiodeMECHATRONICS
                                                                                                                       called     bulb)
                                                                                                                               Battery               Lamp (also called b
                                                   supply                                  capacitor
                                                                                          capacitor  Lamp     (also    called     bulb)
                                                   (PSU)
                                                   (PSU)                                             Light
                                                                                                     Lamp Non-polarised
                                                                                                              (also called bulb)
  DATA Standard
         BOOK symbols                       Cell         Fuse     11                               ENGINEERING               STUDIES
                           SPST switch                                 SPST switch Diode dependent     Light capacitor
                                                                                                               dependent resistor   Ohmmeter
                                                                                                                                   Ohmmeter  NPN transistor Lamp (
                           SPST      switch                                   SPECIALIST   Diode   FIELD
                                                                                                     resistor MECHATRONICS
                                                                                                                 Light     emitting                Voltmeter
  SPECIALIST FIELD SPST switch Potentiometer           11                     DC Power                     MECHATRONICS
                                                                                                              Polarised                                             Amme
                                                                                   Light    DC  motor(LDR)       diode (LED) DC motor
                                   Fuse                                       supply unitSPST     switch      capacitor
                                                                                                                  Unipolar stepper motor
                                  Fuse                                                     DC motor
  Standard symbols Cell    SPDT switch78XX                   Voltage regulator(PSU)
                                                                      SPDT switch
                                                                                   dependent
                                                                                           DC   motor
                                                                                            Light
                                                                                           Light   emitting
                                                                                                  emitting               NPN transistor DC Power
                           SPDT switch                                             resistor            Thermistor
                                                                                                       Thermistor                              Ammeter
                                                                                                                                               Ammeter
                                                                                                                                              Integrated
                                                                                                                                                   Ohmmeter
                                                                                                                                                supply    unitmotor
                                                                                                                                                          DC
                           SPDT switchBattery                                               diode (LED)
                                                                                           diode    (LED) Diode                    IC
                                                   Variable resistor               (LDR)               (negative      thermal      coefficient)
                                                                                                                                              circuit
                                                                                                                                                (PSU)
                        78XX
                        78XX          Voltage      regulatorFuse Light
                                       Voltage regulator                                 SPDT     switch
                                                                                              Servo                                    Lamp (also called bulb)
                   Cell                                                  dependent Servo                                                   Servo
                                                                                      Thermistor              NPN      transistor
                                                                                                               Light emitting
                                                                                                                           Integrated                        Ammeter
                                                                         resistor             Servo
                          Battery11                        SPSTENGINEERING
                                                                    switch                   STUDIES           diode (LED)
                                                                                                   Non-polarised
                                                                                                              IC           circuit
                           DPDT switch SPECIALIST    78XX          FIELD (LDR)
                                                                      DPDT
                                                                  Voltage       MECHATRONICS
                                                                                  switch
                                                                             regulator                         Lamp (also
                                                                                                   capacitorLamp          (also   called bulb)
                                                                                                                               Fuse
                                                                                                                                  called    bulb)            Servo
                         11DPDT switch                                       MECHATRONICS                                                    Voltmeter
                           DPDT                             DC Power                                                        DC motor
                             11 switch
                                     SPST      switch
                                                                       See next page
                                                              ENGINEERING  Thermistor     STUDIES
                                                                                 Non-polarised
                                                                                                   Polarised
                                                                                                                Integrated
                                     SPST switch            supply unit                  DPDT switch
                                                                                                   capacitor
                                                                                                     IC relay                     Lamp    (also called bulb)
                                                                                                                                     Voltage
                   Battery      11 SPECIALIST              SPDT
                                                              FIELD switch
                                                               ENGINEERING MECHATRONICS
                                                                                 capacitorSTUDIES  SPDT         circuit
                                                                                                                 78XX                            SPDT relay
                                                                                                                                   Voltage regulator
                   11                                       (PSU)        MECHATRONICS              SPDT
                                                                                                     DC    relay Voltmeter
                                                                                                         motor                       regulator
                           Push to make         switch
                                           SPECIALIST          FIELD  Push      to  make
                                                                            MECHATRONICS     switch DC   motor
                                                                                                   SPDT relay
                                          DC                    SPST switch                                                                  Ohmmeter
                      11 Push to make
                           Push toSPDTmakeLightPower
                                               switch
                                               switch
                                                                          MECHATRONICS
                                                                                 Polarised          Diode                                                        SPDT rel
                                     SPDT     switch
                                          supply
                                              switchunit                         capacitor
                                                                       Non-polarised                                           Servo
                                          dependent                             NPN     transistor
                                                                                        Push    to  make    switch
                                                                                                                        DC motor
                                          (PSU)
                                            Fuse
                                          resistor                     capacitor
                           Push to break        switch          SPDT  Push
                                                                         switch to break switchLight emitting Voltmeter
                           PushDC to  break
                                      Power
                                          (LDR) switch DPDT switch                                                       Ohmmeter
                           Push to Light
                                      break     switch                 Polarised  Diode                Servo
                                                                                                       Servo                     SPST switch Ammeter
                                supplyLightunit                                                     diode   (LED)
                                                                                                   DPDT relay                                    DPDT relay
                                   dependent                           capacitor
                                                                            NPN transistor
                                                                                        Push toDPDT break relay
                                                                                                            switch Servo
                          Fuse78XX
                                (PSU) dependent
                                   resistor     Voltage regulator
                                            Thermistor                      NPN  Integrated
                                                                                     transistor    DPDT    relay
                           Resistor  DPDT      switch                 Resistor
                                                                     IC           Light emitting
y                          Resistor  DPDT
                                      resistorswitch                             circuit                       Ohmmeter SPDT         Ammeter   relay             DPDT re
                           Resistor(LDR)                        DPDT   Diode
                                                                          switch  diode    (LED)                                SPDT      switch
                                      (LDR)                Push   to   make      switch
                                                                                         Resistor                         Lamp (also called bulb)
                 78XX
                   Fuse      Voltage     regulator
                                      Thermistor                             Integrated                    SPDT relay relay
                                        Non-polarised
                                        Thermistor                           Integrated                    SPDT                 SPDT relay
                                     Push
                                    Push     to make
                                        capacitor
                                            to   make switch    IC Light
                                                         switchPush              emitting
                                                                             circuit
                                          Potentiometer
                                              SPST switch  PushIC to break
                                                                        to make  switch
                                                                             circuit
                                                                       diode (LED)  switch
                                                                                       Potentiometer                        Ammeter
      DC Power                            Potentiometer
                                    to make
                                        Polarised
                                                 switch           SIGNAL Voltmeter                    Lamp     (also called
                                                                                                         Unipolar       stepperbulb) motor              Unipolar steppe
                                          Potentiometer                           Servo
        78XXunit Voltage regulator
      supply                                                      V                                      Unipolar
                                                                                                             DC        stepper
                                                                                                                   motor            motor
                                                                                                                                 DPDTDPDT      relay
                                                                                                                                           switch
                                        capacitor
                                                                    +
                                 Non-polarised
                                    Push
                                     Push    to break
                                                 break switch
                                                         switch Push to breakmotor  switch               Unipolar stepper motor
                                                                                                       Potentiometer
      (PSU)                 SPST     Non-polarised
                                    Push
                                     switch to                    GND
                                 capacitor
                                    to break  SPDT
                                           Variable        Resistor
                                                       switch
                                                      resistor
                                                 switch                                Variable resistor                                                               Unip
                                     capacitor
                                          Variable    resistor                   Ohmmeter                                       DPDT relay
                                      11Diode
                                          Variable resistor ENGINEERING     Voltmeter
                                                                            Voltmeter DC                   DPDT
                                                                                              Lamp (alsoDPDT           relay
                                                                                                             calledrelaybulb)
 C DC
    Power
        Power                    Polarised
                                     Polarised                                                 STUDIES
                                                                                                 motor
                                                                Resistor
upply   unitunit                     Resistor SPECIALIST FIELDMECHATRONICS        MECHATRONICS         Variable     resistorPush to make switch
                                                                                                                 Servo
D supply                   11
                           SPDT
                    SPST switch
                                 capacitor
                                    Resistor
                                     capacitor
                                     switch
PSU)(PSU)                               Light emitting
                                                                           Potentiometer    Ammeter
                                                              See nextOhmmeter
s                                       diode     (LED)                     Ohmmeter
                                                                                  DC motor
                                     Diode
                                 Diode        DPDT     switch                 page                        See next page         Push    to Unipolar
                                                                                                                                             break switch stepper motor
                                                              See next page    Potentiometer  Servo                                   Unipolar
 age regulator SPDT switch                                    See next page
                                                    Potentiometer                                                                     stepper motor motor
                                                                                                                                      Unipolar    stepper
                                            Light Potentiometer                    NPN                                        See    next    page
                                     Lightemitting
                                 Light       emitting
                                            dependent                      Variable Ammeter
                                                                                        resistor                      SPDT relay
                                                                                                                   Unipolar        stepper motor
                                                                                                                                               motor
                           DPDT      switch                                        NPN    transistor
                                                                                         Ammeter
                                                                                   transistor                      Unipolar       stepper
                                                                                                                                Resistor
                                     diode(LED)
                                 diode        (LED)to make
                                              Push
                                            resistor         Lamp     (also Variable
                                                                 switch        called     resistor
                                                                                         bulb)
                                                                                     Servo
 egulator
   regulator                                (LDR)Variable resistor
                                                    Variable resistor                              SPDT relay
T switch
                    DPDTPushswitchto makePush        to
                                                switch   break    switch
                                              Thermistor                            Integrated
                                                          Lamp (also
                                                   DC motor             ICcalledcircuit
                                                                                      bulb) See next
ery                                                     Lamp (also called bulb) See                   nextpage
                                                                                                             page
                                                                                                                      DPDT relay
                                                                                                                                                 Potentiometer
T switch                                                                                   SPDT relay
  witch             Push   Push
                          to  make to switch
                                       breakResistor
                                                switch
ch                                         Non-polarised                 See     next
                                                                         See next page  page
                                                                                                                                                 Variable resistor
DATA BOOK                                         13                 ENGINEERING STUDIES
E12 Preferred values: 10, 12, 15, 18, 22, 27, 33, 39, 47,SPECIALIST
                                                          56, 68, 82 FIELD MECHATRONICS

Resistor colour codes
Example: 4 band colour code

                      Example: 4 band E12 series resistor colour code
Electrical formula wheel

   Band colours          1st band           2nd band           Multiplier   Tolerance band
       Black                 0                  0                      1
      Brown                  1                  1                     10         1%
       Red                   2                  2                     100        2%
      Orange                 3                  3                 1000
      Yellow                 4                  4                10 000
      Green                  5                  5               100 000
       Blue                  6                  6               1 000 000
       Violet                7                  7
       Grey                  8                  8
       White                 9                  9
       Gold                                                                      5%

E12 Preferred values:10, 12, 15, 18, 22, 27, 33, 39, 47, 56, 68, 82
SPECIALIST FIELD                                  11             SPECIALIST FIELD MECHATRONICS
                                                                                MECHATRONICS

  DATA BOOK
Diodes                                          15                          ENGINEERING STUDIES
 ENGINEERING    STUDIES
  SPECIALIST FIELD                       11  14                   SPECIALIST FIELD  DATA BOOK
                                                                                   MECHATRONICS
                                                                                 MECHATRONICS
 SPECIALIST FIELD MECHATRONICS
     Diode model
  Diodes                          Formula                                    Terms/diagrams
 Diode and transistor
                      VD = VD,on (or VF)
      Diode model                    Formula                                   Terms/diagrams
      Diode model                   Formulae                                      Diagram
 On                   Check:
                      IDV>D0= VD,on (or VF)
                             VD = VD,on (or VF)
 On
  On                      = Check:
                       IDCheck:
                             0A
                         ID I> 0> 0
                             D
 Off                   Check:
                       VDID 0    V
                       IB I>C 0= A
                                 β × IB
 Transistor current
  Forward-active       VCE > 0 VIC
                        Check:
                           β=
 gain [ β or hFE ]      IB > 0 AIB

 Transistor current     VCE > 0 V                      IC
                       Gain or β or hFE =                         IC is the collector current
 gain                                                  IB         IB is the base current
  Transistor current                                        IC
                         Gain or β or hFE =                         IC is the collector current
  gain                                                      IB      IB is the base current

                                              See next page

                                                  See next page
DATA BOOK                                     15              ENGINEERING STUDIES
                                                    SPECIALIST FIELD MECHATRONICS

Standard microcontroller chip

                                      VCC     IN3
                                      RESET   IN4
                                      IN0      00
                                      IN1      01
                                      IN2      02
                                      A0       03
                                      A1       04
                                      A2       05
                                      GND      06

Flow chart symbols

                                                     Start or end of
                         Start/Stop                  a program or
                                                       subroutine

                                                         Output to a
                          Output
                                                          device

                                                       A delay or
                          Process                    computational
                                                        process

                                                    A decision point
                         Decision                    with a Yes/No
                                                         result

                                                        Flow of
                                                      computation

                       Subroutine or                 A predefined
                        procedure                      process

                                      End of Data Book
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