Class 34 - The Secant Formula

Structural Analysis (6th Edition)

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Unformatted text preview: OWVfi @€%Vzr§w E?me @ (mania; éWgM wwég @wméég @ gegzgwg %§i§ég}ifi ieii, a s §?§§§19§ waiafif ’17 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 (2L)2 Panow=~n :7: =14”: 4— Pct 677 Section X -X . g’ {9 a: W ‘5‘ ”“ fig {WEE 4:24 ‘gggfogré twigs»: W 3i? 8’: a: $3ng $3M? iMfi. $9 ,5 WWWWWMWWWWWW _ 3 g,“ Amnmwmmwmwwmmmwmmmwwemm Lafiég’ fwdzfimggzag ...
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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.

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Class 34 - The Secant Formula - OWVfi @€%Vzr§w E?me @...

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