Zone 0.65 and 0.9 Alternate method: The above approach is recommended to be used for determining TC vs CC. For simplicity, the steel reinforcement ratio can be compared to the balanced reinforcement ratio as defined below. Pb = (0.85) 87,000/31f fy(87,000+fy) If p <= 0.75pb Section is TC If p > 0.75pb Section is CC Strength reduction factor: Strength reduction factor: = 0.9 where, p= reinforcement ratio= = 0.65 As/(b*d) (too much steel) Once the section is sized, it is recommended to check the section with the strain approach to ensure the TC vs CC classification per ratio approach is still valid.

Problem 1.A W14x82 column is 20 ft long and both ends of the column are pinned.

a) Is the buckling of the column controlled by the x- or the y-axis? Explain your response.
b) Determine the maximum allowable axial load the column can support.

Given:
• Cross-sectional properties:
o A= 24 in2
o Ix= 881 in4
o Zx= 139 in3
o Iy= 148 in4
o Zy=44.8 in3
• A992, Grade 50 Steel: Fy= 50ksi and Fu= 65 ksi
• E= 29,000 ksi

Also this a Structural Design & Analysis question in which architecture students do. Please reference screenshots from lecture notes