# Ch11-1 - 11 Columns Chapter Title Idealized Buckling Models Problem 11.2-1 through 11.2-4 The figure shows an idealized structure consisting of one

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# Chapter Title 671 Idealized Buckling Models Problem 11.2-1 through 11.2-4 The figure shows an idealized structure consisting of one or more rigid bars with pinned connections and linearly elastic springs. Rotational stiffness is denoted b R and translational stiffness is denoted b . Determine the critical load P cr for the structure. 11 Columns A B L b R P L b P C B a A L 2 L 2 A C B b R P L 2 L 2 A C B b R b R P Prob. 11.2-1 Prob. 11.2-2 Prob. 11.2-3 Prob. 11.2-4

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Solution 11.2-1 Rigid bar AB 672 CHAPTER 11 Columns P cr 5 b R L P ( u L ) 2 b R u 5 0 a M A 5 0 A B P u u L M 5 b R u Solution 11.2-2 Rigid bar ABC P cr 5 b a 2 L P u L 2 bu a 2 5 0 a M A 5 0 A C P u L F 5 bu a a u Solution 11.2-3 Two rigid bars with a pin connection Shows that there are no horizontal reactions at the supports. F REE - BODY DIAGRAM OF BAR BC P cr 5 6 b R L b R (2 u ) 1 b R u 5 PL u 2 a M B 5 0 Ê M B 1 M C 2 P u ¢ L 2 5 0 M B 5 b R u ) M C 5 b R u a M A 5 0 A C B M 5 b R u M 5 b R u P u u C B M C 5 b R u P u M C ( L 2 ) u Solution 11.2-4 Two rigid bars with a pin connection F REE - BODY DIAGRAM OF BAR BC P cr 5 H u 5 b R L a M B 5 0 Ê H ¢ L 2 2 P ¢ u L 2 5 0 H 5 b R u L a M A 5 0 Ê HL 2 b R u 5 0 A C B M 5 b R u P P u u H H P P C B u H H

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## This note was uploaded on 03/30/2008 for the course CVEN 205 taught by Professor Muliana during the Spring '08 term at Texas A&M.

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Ch11-1 - 11 Columns Chapter Title Idealized Buckling Models Problem 11.2-1 through 11.2-4 The figure shows an idealized structure consisting of one

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