Example 318

Given: A frame with a leaning column is shown in Figure 31.16a (Lui and Sun 1995). Evaluate the K-factor for column AB using various methods. The bottom of column AB is assumed to be ideally pin-ended for comparison purposes. E = 29,000 ksi (200 GPa).

Solution

Alignment Chart Method

From Figure 31.3b, we have KAB = 2.6. Lima and McNamara Method

For this frame, P =Y1 Q = P and K = 2.6. From Equation 31.100, we have

LeMessurier Method

For column AB, GA = 1 and GB = 2.0; from the alignment chart, K0 = 2.6. According to Equations 31.91 to 31.94, we have

]TP + J2 CLP\ m2E— / 2P + 0 .0274P\ ÊpL ) V 1. 5E—/L2 )

0 0

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