How do you change the cross-section of a beam to minimize deflection?

Hint: What variable is related to the cross-section in the beam deflection equation?

Cross-posting with this answer linked here: You want to minimize beam deflection. If you had to choose between changing the width or the height of the cross-section of a beam, which would one you choose and why? - #2 by hardwarefyi

Cross-section of a beam is directly related to the area moment of inertia term. This is the standard form a deflection equation follows:

Deflection = \frac{PL}{EI}

  1. Load = (P)
  2. Length: Length of the beam (L)
  3. Material: Represents the modulus of elasticity (E)
  4. Cross-Sectional Shape: Represents the moment of inertia (I)