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Kindly explain! Thank you!! A W 12x53 of A36 steel is used as a column with an unbraced length of 16 feet. The top

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Kindly explain! Thank you!! A W 12x53 of A36 steel is used as a column with an unbraced length of 16 feet. The top is pinned but prevented from lateral movement and the bottom is totally fixed r (radio)= 2.48 Area (of the section) 15.6 inc 4 Question: Compute the maximum factored load for the column When to choose Buckled shape of column is shown by dashed line (why not? Theoretical K value Recommended design value when ideal condi- tions are approximated End condition code (a) 4 Aya - (b) siy A THOT FOT (d) wys (0) 0.5 0.7 1.0 0.65 0.80 1.2 1.0 2,10 suque 7 1.0 2.0 (f) 2.0 2.0 Rotation fixed and translation fixed Rotation free and translation fixed Rotation fixed and translation free Rotation free and translation free Figure 4.3 Determination of effective column length for buckling. Reprinted from Steel Construction Manual, with permission of the publisher, the American Institute of Steel Construction. end conditions: case (b) K 0.8 (design value) Table A.3: T-5.23 in. ry-2.48 in. A-15.6 in. - U Iy 2.48 Why? we can assume that both axes are unbraced, so the lower r value is used Why?

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