P$-1$ Conceptual Problem:

A simply supported beam with a uniformly distributed load $\backslash (\backslash$boldsymbol$\{$w$\}\backslash )$ and length $\backslash (\backslash$boldsymbol$\{$L$\}\backslash )$ has an $\backslash (\backslash$boldsymbol$\{$I$\}\backslash )$ 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.