Beam A will have a greater resistance to bending because it has a lower moment of inertia.

Beam A will have a greater resistance to bending because it has a higher moment of inertia.

Beam B will have a greater resistance to bending because it has a lower moment of inertia.

Beam B will have a greater resistance to bending because it has a higher moment of inertia.

Directly related: as maximum deflection increases, so does modulus of elasticity.

Inversely related: as maximum deflection increases, modulus of elasticity decreases and vice versa.

The two are not related at all

144 in

96 in

120 in

156 in

$632.81\ in^4$

$118.65\ in^4$

$52.73\ in^4$

$2.10\ in^4$

Base

Height

Width

Depth

You are changing what the measured Height is, which heavily impacts Inertia Calculations

You are changing the measured Base, which heavily impacts Inertia Calculations

You are changing the beam's length, which heavily impacts Inertia Calculations

Beam orientation doesn't matter, the Moment of Inertia stays the same.

 $594.44\ in^4$  

 $48.52\ in^4$  

 $1.60\ in^4$  

 $19.65\ in^4$  

in⁴

psi

in²

lbf

 $E=\frac{\Delta_{\max}FL^3}{48I}$  

 $E=\frac{48FL^3}{\Delta_{\max}\ I}$  

 $E=\frac{48I\Delta_{\max}}{FL^3}$  

 $E=\frac{FL^3}{\Delta_{\max}\ 48\ I}$  

An objects stiffness based on its shape

An objects stiffness based on its chemical properties

An objects rotation because of inertia

An objects rotation because of force

 $594.44\ in^4$  

 $48.52\ in^4$  

 $1.60\ in^4$  

 $19.65\ in^4$  

in⁴

in²

psi

lbf

Directly Related: As the length of the beam increases, so does the maximum beam deflection.

Inversely Related: As the length of the beam increases, the maximum beam deflection decreases, and vice versa.

Not related