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wm bit? $33; wzjgéé ' fﬁﬁggﬁg ’“ Lagab Wiguaég kmg mgngwwgm SECTION 11.3 Critical Loads of Columns with Pinned Supports 677 Problem 11.311 A long slender column ABC is pinned at ends A and
C and 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 wideflange section (W 10 X 45) with E = 30 X 10]‘5 psi. The distance between lateral supports is L = 18 ft. Calculate the allowable load P using a factor of safety n = 2.4, taking H into account the possibility of Euler buckling about either principal
centroidal axis (i.e., axis 11 or axis 2—2). Section XX SECTION 11.3 Critical Loads of Columns with Pinned Supports Problem 11.311 A long slender column ABC is pinned at ends A and C and compressed by an axial force F (see ﬁgure). At the midpoint B, lateral support is provided to prevent deﬂection in the plane of the ﬁgure. The column is a steel wideﬂange section (W 10 X 45) with E = 30 X 106 psi. The distance between lateral supports is L = 18 ft.
Calculate the allowable load P using a factor of safety n = 2.4, taking ‘ into account the possibility of Euler buckling about either principal centroidal axis (i.e., axis 14 or axis 22). Solution 11 .311 Column with restraint at midheight w10><_45 E=30X105psi
L=18ﬁ=216in. 1,=2481n.4 12:53.4in.4 7’2 BUCKLING ABOUT AXIS 22 E12
L2 n = 2.4 Per = : 338.9k BUCKLING ABOUT ms 11
ALLOWABLE LOAD £1,
= =393.5k PCI 338. k
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This note was uploaded on 02/01/2008 for the course CEE 212 taught by Professor Lynch during the Winter '06 term at University of Michigan.
 Winter '06
 Lynch

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