For the beam designed in Problem $34,$ determine

the minimum required lengths of bearing $($at the

concentrated loads and at the supports$)$ considering

the limit state of web yielding and the limit state of

web local crippling. Determine by $($a$)$ LRFD and $($b$)$

ASD.

A $36ft$ simply supported beam is loaded with

concentrated loads $16ft$ in from each support. On one

end, the dead load is $8\mathrm{.}0$ kips and the live load is $18\mathrm{.}0$

kips. At the other end, the dead load is $4\mathrm{.}0$ kips and

the live load is $9\mathrm{.}0$kips. Include the self$-$weight of the

beam in the design. Lateral supports are provided at

the supports and the load points. Considering only

bending, determine the least$-$weight $W-$shape to carry

the load. Use A$992$ steel and $C_b=1\mathrm{.}0.$ Design by $($a$)$

LRFD and $($b$)$ ASD.