Engineering Formula Sheet
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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 |
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|[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] | |
|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 |
|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 |
|Rectangular Sections |[pic] |IXX = Moment of inertia about x-x axis |
|[pic] | |b = Base dimension |
| | |h = Height |
|Work and Power |
|Formulas |Variables |
|[pic] |W = Work |
| |F = Force |
| |D = Distance |
|[pic] |P = Power |
| |W = Work |
| |t = Time |
|[pic] |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 |
|[pic] |U = Thermal transmittance (U-factor) |
|[pic] |R = Resistance to heat flow (R-value) |
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