# 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 FR = Resistance force FE = Effort force IMA = Ideal Mechanical Advantage DR = Resistance Distance DE = Effort Distance LE = Length from fulcrum to effort LR = Length from fulcrum to resistance Wheel and Axle rw = Wheel radius ra = Axle radius Pulley IMA = Total number of strands supporting the load Inclined Plane L = Slope length H = Height Wedge L = Base length H = Height C = Circumference  Pitch = Screw pitch TPI = Threads per inch
 Properties of Materials Formulas Variables σ = Stress F = Axial force Ao = Cross-sectional area ε = Strain δ = Deformation Lo = Original length E = Modulus of Elasticity

 Fluids Formulas Variables P = Pressure F = Force A = Area V = Volume

 Gear Ratios Formulas Variables GR = Gear ratio ωin = Driver gear, rpm ωout = Driven gear, rpm Nin = Number of teeth on driver Nout = Number of teeth on driven din = Diameter of driver dout = Diameter of driven τin = Torque of driver, ft-lbs τout = Torque of driven, ft-lbs

 Kinematics Formulas Variables  X  = Range  g = Acceleration due to gravity θ = Initial trajectory angle from the horizontal Vix = Initial horizontal velocity Viy = Initial vertical velocity

 Statics Formulas Variables M = Moment about a point F = Force d = Perpendicular distance ∑ = Sum of Y = Force in y-direction CCW = Counter-clockwise moment CW = Clockwise moment J = Number of joints M = Number of members R = Number of reaction forces Rectangular Sections IXX = Moment of inertia about x-x axis b = Base dimension h = Height Work and Power Formulas Variables W = Work F = Force D = Distance P = Power W = Work t = Time V = Volts I = Current P = Rate of heat transfer Q = Energy transfer k = Thermal conductivity A = Area of thermal conductivity L = Thickness ΔT = Difference in temperature U = Thermal transmittance (U-factor) R = Resistance to heat flow (R-value)

Engineering Formula Sheet - Page