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

Vi = Initial velocity





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

X = Force in x-direction

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

Δt = Difference in time




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)



Project Lead The Way, Inc.

Copyright 2010



Engineering Formula Sheet - Page

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