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**Unformatted text preview: **OWVﬁ @€%Vzr§w E?me
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wm bit? $33; wzjgéé ' fﬁﬁggﬁg ’“ Lag-ab Wiguaég kmg mgngwwgm SECTION 11.3 Critical Loads of Columns with Pinned Supports 677 Problem 11.3-11 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 wide-flange 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 1-1 or axis 2—2). Section X-X SECTION 11.3 Critical Loads of Columns with Pinned Supports Problem 11.3-11 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 wide-ﬂange 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 2-2). Solution 11 .3-11 Column with restraint at midheight w10><_45 E=30X105psi
L=18ﬁ=216in. 1,=2481n.4 12:53.4in.4 7’2 BUCKLING ABOUT AXIS 2-2 E12
L2 n = 2.4 Per = : 338.9k BUCKLING ABOUT ms 1-1
ALLOWABLE LOAD £1,
= =393.5k PCI 338. k
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- Winter '06
- Lynch
- Column, Buckling, Allowable Load, long slender column