Problem 11.3-12A long slender column ABCis pinned at ends Aand Cand compressed by an axial force P(see figure). At the midpoint B, lateral support is provided to prevent deflection in the plane of the figure. The column is a steel wide-flange section with E= 200 GPa. The distance between lateral supports is L= 5.5 m.Calculate the allowable load Pusing a factor of safety n= 2.4, taking into account the possibility of Euler buckling about either principal centroidal axis (i.e., axis 1-1 or axis 2-2).(W250*67)SECTION 11.3Critical Loads of Columns with Pinned Supports857Solution 11.3-12BUCKLING ABOUT AXIS1-1Pcr1p2EI1(2L)2Pcr11680 kNI222.2*106mm4n2.4L5.5 mI1103*106mm4W250*67E200 GPaBUCKLING ABOUT AXIS2-2axis 2-2 governsALLOWABLELOAD;PallowPcrnPallow604 kNPcrPcr2Pcr2p2EI2(L)2Pcr21449 kNProblem 11.3-13
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