ENGINEERING STUDIES ATAR COURSE DATA BOOK 2021
←
→
Page content transcription
If your browser does not render page correctly, please read the page content below
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
Copyright © School Curriculum and Standards Authority, 2019 2016 This document – apart from any third party copyright material contained in it – may be freely copied, or communicated on an intranet, for non-commercial purposes in educational institutions, provided that it is not changed and that the School Curriculum and This document – apart from any third party copyright material contained in it – may be freely copied, or communicated on an Standards Authority is acknowledged as the copyright owner, and that the Authority’s moral rights are not infringed. intranet, for non-commercial purposes in educational institutions, provided that it is not changed and that the School Curriculum and Standards Authority is acknowledged as the copyright owner, and that the Authority’s moral rights are not infringed. Copying or communication for any other purpose can be done only within the terms of the Copyright Act 1968 or with prior written permission of the School Curriculum and Standards Authority. Copying or communication of any third party copyright material can be Copying or communication for any other purpose can be done only within the terms of the Copyright Act 1968 or with prior written done only within permission theSchool of the terms Curriculum of the Copyright or with permission Act 1968 Authority. and Standards ofcommunication Copying or the copyright owners. of any third party copyright material can be done only within the terms of the Copyright Act 1968 or with permission of the copyright owners. Any content in this document that has been derived from the Australian Curriculum may be used under the terms of the Creative Commons Attribution Any content 4.0 International in this document that has(CC beenBY) licence. derived from the Australian Curriculum may be used under the terms of the Creative Commons This Attribution document 4.0teaching is valid for International and (CC BY) licence. examining until 31 December 2021. An Acknowledgements variation document is available on the Authority website. Published by the School Curriculum and Standards Authority of Western Australia 303 Sevenoaks Street CANNINGTON WA 6107
You can also read