what is the minimum section modulus need to meet the demand? Smin $=$in$=$

what is the minimum height, h$,$ needed to meet the demand? h $=$inA beam, to be made from ASTM A$36$ structural steel plate, is to be designed to carry the repeating load shown below $($please imagine the rectangle is properly showing all of the little arrows pointing down that should be part of the distributed load $-$ this figure needs updating$).$ The cross section of the beam will be rectangular with its base being $1\mathrm{.}5$ in $.$ You will need to design a suitable height for the cross section. First step $-$ what is the ${}_{\text{c}\text{a}\text{p}}?{}_{\text{c}\text{a}\text{p}}=$ ksi