Select the lightest column section for column AB in the frame shown. The column is under an ultimate load of 700k and only in-plane behavior is considered. Furthermore, assume that the column immediately above or below AB are the same size as AB. All beams are of W18x40 sections. Fy =50ksi . Assume: Inelastic Behavior. Assume any appropriate assumption

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EXPERT ANSWER

1. Here it is given that
Use W14×61
Fy = 50ksi
Now, design strength of column AB

Pu = 2658.45k
Design Strength of column AB = 2658.45k
2. Let us first design column AB and then Base plate design must be done
Assuming both ends fixed. The effective length is 0.65×16 10.4 feet.
Using LRFD, the factored load is Pu=1.2×350+1.6×450=1,140kips 

sectionweightArea(in^2)IminlambdaFeFcr
W14X747421.82.4850.32258113.024341.54859
W14X8282242.4850.32258113.024341.54859
W14X909026.53.733.72973251.577646.00904
W14X999929.13.7133.63881252.939346.02965