For a simply supported beam, which beam would have less deflection: a single stacked or double stacked beam?

Mechanical Engineering Cantilever Beams
1

image
image696×429 9.84 KB

Which scenario will have less maximum deflection?

2

Any details about the boundary conditions between the two 2 stacked beams and the material properties?

3

wouldn’t the result be the same since it is h/2? if the two beams stacked each have h height then it would be 8 times stiffer than the one beam, I guess?

4

Single beam… I ~ h^3

Stacked beam… I ~ 2 * (h/2)^3 = 2/8 h^3 = 1/4 h^3

Deflection is inversely proportional to I, so the stacked beam will be 1/4 the stiffness of the single beam.