Conceptual Problem:

A simply supported beam with a uniformly distributed load $w$ and length $L$ has an I section cross$-$section.

$($a$)$ Draw:

The shear force diagram $($SFD$).$

The bending moment diagram $($BMD$).$

The bending stress distribution diagram $($at max bending moment$).$

The shear stress distribution diagram $($at max shear force$).$

$($b$)$ For each diagram, determine:

The critical section for shear and bending $($i$.$e$.,$ Locations of maximum$).$

The degree of the curve in the SFD and BMD $($i$.$e$.,$ Linear or parabolic$).$

$($c$)$ Identify which part of the I$-$section $($flanges or web$)$:

Carries most of the bending stress.

Carries most of the shear stress.