The frame shown below is sidesway uninhibited because all connections

are fixed $($except the connections at the base which are pinned$).$ All the columns

are W$12$x$190,$ and the girders are W$14$ x$82.$ All members are A$992$ steel. Let

kx$=1\mathrm{.}0$ for all members. Weak axis buckling is in the plane of the frame shown

below. Beam $($girder$)$ bending is about the x$-$axis.

a$.$ Use the appropriate alignment chart $($Figure C$-$A$-7\mathrm{.}1$ or $2)$ to calculate ky

and determine the design compressive strength, jPn$.$ of column AB$.$

b$.$ Calculate the design compressive strength, jPn$,$ of column AB using ky

from Table C$-$A$-7\mathrm{.}1($in Appendix $7$ in Bright Space$)$ and compare your

answer to part a$.$

c$.$ Calculate ky for member BC using the alignment charts.

d$.$ Is the column BC able to support the factored load from a service dead

load of $500$ kips and a service live load of $600$ kips? Show work.$(20$ pts$.)$ The frame shown below is sidesway uninhibited because all connections are fixed $($except the connections at the base which are pinned$).$ All the columns are W$12$x$190,$ and the girders are W$14$ x$82.$ All members are A$992$ steel. Let $k_x=1\mathrm{.}0$ for all members. Weak axis buckling is in the plane of the frame shown below. Beam $($girder$)$ bending is about the $x-$axis.

a$.$ Use the appropriate alignment chart $($Figure C$-$A$-7\mathrm{.}1$ or $2)$ to calculate $k_y$ and determine the design compressive strength, $P_n.$ of column $AB.$

b$.$ Calculate the design compressive strength, $P_n,$ of column $AB$ using $k_y$ from Table C$-$A$-7\mathrm{.}1($in Appendix $7$ in Bright Space$)$ and compare your answer to part a$.$

c$.$ Calculate $k_y$ for member $BC$ using the alignment charts.

d$.$ Is the column $BC$ able to support the factored load from a service dead load of $500$ kips and a service live load of $600$ kips? Show work.