Intermediate5 equations~8 hours

Engineering Mechanics

Stress, strain, power, and the equations of building things.

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1
Hooke's Law
Beginner
$F = -kx$
Spring force is proportional to displacement and opposes the direction of stretch or compression.
Physical Sciences
Classical Mechanics
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2
Young's Modulus
Beginner
$E = \frac{\sigma}{\varepsilon} = \frac{F L_0}{A \Delta L}$
Stiffness of a material—how much stress needed for given strain.
Engineering Sciences
Materials Science
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3
Stress-Strain Relationship
Beginner
$\sigma = E \varepsilon$
Stress equals Young's modulus times strain—in the linear elastic regime.
Engineering Sciences
Materials Science
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4
Electrical Power Equation
Beginner
$P = IV = I^2 R$
Electrical power equals current times voltage, or current squared times resistance.
Engineering Sciences
Electrical Engineering
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5
Lift Equation
Intermediate
$L = \frac{1}{2} \rho v^2 S C_L$
Lift force proportional to dynamic pressure, wing area, and lift coefficient.
Engineering Sciences
Aerospace Engineering
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