Problem #$8$

How much distributed live load, $w_L,$ must be applied to the simply$-$supported beam shown below

to result in flexural failure? Dead load on the beam, $w_D,$ is equal to the beam self$-$weight plus $1\mathrm{.}6$

kip$\frac{s}{f}t.$ Assume that the unit weight of the reinforced concrete member is $150l\frac{b}{f}{t}^3.$ Determine

whether the strain in the extreme layer of tensile reinforcement, ${}_t,$ at ultimate exceeds $0\mathrm{.}005.$

Material strengths are $f_c^{\text{'}}=5000$ and $f_y=75$ksi.