Engineering Formula Sheet - Chandler Unified School District
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|Engineering Formula Sheet |
| Circular Shapes |Electrical Systems |
| | |
|Formulas |Formulas |
|Variables |Variables |
| | |
| | |
|C = Circumference |V = Voltage |
| | |
|[pic] |V = IR |
|π = 3.14 |I = Current |
| | |
| | |
|d = Diameter |R = Resistance |
| | |
|[pic] | |
|A = Area | |
| | |
| | |
|r = Radius | |
| | |
|Right Triangle Ratios | |
|Formulas |Variables |
|[pic] | |
|[pic] |θ = Angle |
|[pic] | |
|Simple Machines |
|Formulas |Variables |
|[pic] |AMA = Actual Mechanical Advantage |
| |FR = Resistance force |
| |FE = Effort force |
|[pic] |IMA = Ideal Mechanical Advantage |
| |DR = Resistance Distance |
| |DE = Effort Distance |
|[pic] |LE = Length from fulcrum to effort |
| |LR = Length from fulcrum to resistance |
|Wheel and Axle [pic] |rw = Wheel radius |
| |ra = Axle radius |
|Pulley IMA = Total number of strands | |
|supporting the load | |
|Inclined Plane or Wedge [pic] |L = Slope length |
| |H = Height |
|Wedge [pic] |L = Slope length |
| |T = Thickness |
|[pic] |C = Circumference |
|[pic] [pic] |Pitch = Screw pitch |
| |TPI = Threads per inch |
|Properties of Materials |
|Formulas |Variables |
|[pic] |σ = Stress |
| |F = Axial force |
|[pic] |Ao = Cross-sectional area |
| |ε = Strain |
|[pic] |δ = Deformation |
| |Lo = Original length |
|[pic] |E = Modulus of Elasticity |
|[pic] | |
|Fluids |
|Formulas |Variables |
|[pic] |P = Pressure |
| |F = Force |
|[pic] |A = Area |
| |V = Volume |
|[pic] | |
|[pic] | |
|T + 460°F |Absolute Temperature |
|P + 14.7 lb/in.2 |Absolute Pressure |
|Q = VA |Q = Flow Rate gpm gallons per minute |
|1 gal = 231 in.3 |V = Flow Velocity ft/s (feet per second) |
|Gear Ratios |
|Formulas |Variables |
|[pic] |GR = Gear ratio |
| |ωin = Driver gear, rpm |
| |ωout = Driven gear, rpm |
|[pic] |Nin = Number of teeth on driver |
| |Nout = Number of teeth on driven |
| |din = Diameter of driver |
|[pic] |dout = Diameter of driven |
| |τin = Torque of driver, ft-lbs |
| |τout = Torque of driven, ft-lbs |
|Kinematics |
|Formulas |Variables |
|[pic][pic] |X = Range |
| |Vi = Initial velocity |
|[pic][pic] |g = Acceleration due to gravity |
| |θ = Initial trajectory angle from the horizontal |
|[pic] |Vix = Initial horizontal velocity |
|[pic] |Viy = Initial vertical velocity |
| | |
|Statistics | |
| |P = Probability |
| |x = Number of times an outcome occurs within n trials |
| |n = Number of trials |
| |p = Probability of success on a single trial |
| |q = Probability of failure on a single trial |
| |! means multiply all of the numbers 1 to x |
| |Ex. 5! = 5 x 4 x 3 x 2 x 1 |
| | |
| | |
|Statics | |
|Formulas |Variables |
|[pic] |M = Moment about a point |
| |F = Force |
| |[pic]d = Perpendicular distance |
|[pic] |∑ = Sum of |
| |X = Force in x-direction |
| |Y = Force in y-direction |
|[pic] |CCW = Counter-clockwise moment |
|[pic] |CW = Clockwise moment |
|[pic] |J = Number of joints |
| |M = Number of members |
| |R = Number of reaction forces |
|Fx = F cosΘ | |
|Fy = F sinΘ | |
|Rectangular Sections |[pic] |IXX = Moment of inertia about x-x axis |
|[pic] | |b = Base dimension |
| | |h = Height |
|Work, Power, and Thermodynamics |
|Formulas |Variables |
|[pic] |Cp = Specific heat capacity (a constant) |
| |m = mass |
|[pic] |W = Work |
| |F = Force |
| |D = Distance |
|[pic] |P = Power |
| |W = Work |
| |t = Time |
|Q = m ∙ Cp ∙ ∆T |V = Volts |
| |I = Current |
|[pic] |P = Rate of heat transfer |
| |Q = Energy transfer |
| |Δt = Difference in time |
|[pic] |k = Thermal conductivity |
| |A = Area of thermal conductivity |
| |L = Thickness |
| |ΔT = Difference in temperature |
|Pnet = σAe(T4-T4) |σ = 5.6696 x 10-8 W/m2 k4 (Stefan’s constant) |
| |Kelvin = C + 273.15 |
| |e = emissivity (a constant) |
|U-value = Q / A∆T |U = Thermal transmittance (U-factor) |
|[pic] |R = Resistance to heat flow (R-value) |
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