Engineering Formula Sheet
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Engineering Formula Sheet Circular Shapes Formulas Variables C = Circumference π = 3.14 d = Diameter A = Area r = Radius Electrical Systems Formulas Variables V = Voltage V = IR I = Current R = Resistance Right Triangle Ratios Formulas Variables θ = Angle Simple Machines Formulas Variables AMA = Actual Mechanical Advantage F R = Resistance force F E = Effort force IMA = Ideal Mechanical Advantage D R = Resistance Distance D E = Effort Distance LE = Length from fulcrum to effort LR = Length from fulcrum to resistance Wheel and Axle r w = Wheel radius r a = Axle radius Pulley IMA = Total number of strands supporting the load Project Lead The Way, Inc. Copyright 2010 Engineering Formula Sheet - Page 1
Transcript of Engineering Formula Sheet
Engineering Formula Sheet Circular ShapesFormulas Variables
C = Circumferenceπ = 3.14d = DiameterA = Arear = Radius
Electrical SystemsFormulas Variables
V = Voltage
V = IR I = CurrentR = Resistance
Right Triangle RatiosFormulas Variables
θ = Angle
Simple MachinesFormulas Variables
AMA = Actual Mechanical AdvantageFR = Resistance forceFE = Effort forceIMA = Ideal Mechanical AdvantageDR = Resistance DistanceDE = Effort DistanceLE = Length from fulcrum to effortLR = Length from fulcrum to resistance
Wheel and Axle rw = Wheel radiusra = Axle radius
Pulley IMA = Total number of strandssupporting the load
Inclined Plane L = Slope lengthH = Height
Wedge L = Base lengthH = Height
C = Circumference
Pitch = Screw pitchTPI = Threads per inch
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Properties of MaterialsFormulas Variables
σ = StressF = Axial force
Ao = Cross-sectional areaε = Strain
δ = DeformationLo = Original length
E = Modulus of Elasticity
FluidsFormulas Variables
P = PressureF = Force
A = AreaV = Volume
Gear RatiosFormulas Variables
GR = Gear ratioωin = Driver gear, rpmωout = Driven gear, rpmNin = Number of teeth on driverNout = Number of teeth on drivendin = Diameter of driverdout = Diameter of drivenτin = Torque of driver, ft-lbsτout = Torque of driven, ft-lbs
KinematicsFormulas Variables
X = RangeVi = Initial velocity
g = Acceleration due to gravityθ = Initial trajectory angle from the horizontal
Vix = Initial horizontal velocity
Viy = Initial vertical velocityProject Lead The Way, Inc.
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StaticsFormulas Variables
M = Moment about a pointF = Force¿ d = Perpendicular distance∑ = Sum ofX = Force in x-directionY = Force in y-direction
CCW = Counter-clockwise momentCW = Clockwise moment
2J=M+RJ = Number of jointsM = Number of membersR = Number of reaction forces
Rectangular Sections IXX = Moment of inertia about x-x axis
b = Base dimensionh = Height
Work and PowerFormulas Variables
W = WorkF = ForceD = DistanceP = PowerW = Workt = TimeV = VoltsI = CurrentP = Rate of heat transferQ = Energy transferΔt = Difference in timek = Thermal conductivityA = Area of thermal conductivityL = ThicknessΔT = Difference in temperatureU = Thermal transmittance (U-factor)
R = Resistance to heat flow (R-value)
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