Bending:

Problem $3$: A beam spans $16$ ft and carries a concentrated live load of $40$ kips at the center of the span.

a$)$ Compute the ultimate bending moment $(M_u)$ and the bending nominal resistance of the member $(M_n).$

b$)$ Use Table $9\mathrm{.}1$ to choose the smallest section $($based on $M_p)$ that meets the required value computed in part a$).$

Buckling:

Problem $4.$ A W shape beam is to be used for a uniform dead load of $27$ kips and a live load of $50$ kips over a $45-$ft span.

a$)$ Compute the required section modulus $(Z_x).$ Note: this is similar to Example $1$ from the Chapter $9($part $2)$ lesson.

b$)$ If the beam has an unbraced length of $10$ ft $,$ will a $W1886$ beam work for this scenario? To verify this, you will need to $1)$ verify if meets the $Z_x$ computed in part a and $2)$ Compute the bending resistance of the member $(M_n)$ to see if it exceeds the $M_n$ value also computed in part a$.$