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D A L EI (X=-L) B L/2 EI C (x=2) Figure 1: (NOTE: In the left span (AB), -L≤x≤0, distance from A = x+L, and distance from B = −x. In the right span (BC), 0 ≤x≤L/2, distance from B = x, and distance from C = L/2-x.)

D A L EI (X=-L) B L/2 EI C (x=2) Figure 1: (NOTE: In the left span (AB), -L≤x≤0, distance from A = x+L, and distance from B = −x. In the right span (BC), 0 ≤x≤L/2, distance from B = x, and distance from C = L/2-x.)

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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for this structure find the following.

1) general solution for buckled shape in EACH span
2) Boundary Conditions suffcient to solve the problem 

note: should derive diff equations for each span's buckled shape, general solutions should be in terms of a = sqrt(P/EI), x and L  (x is measured from B)

boundary conditions are for the slopes and deflections that will be able to suffciently determine the buckling load 

D A L EI (X=-L) B L/2 EI C (x=2) Figure 1: (NOTE: In the left span (AB), -L≤x≤0, distance from A = x+L, and distance from B = −x. In the right span (BC), 0 ≤x≤L/2, distance from B = x, and distance from C = L/2-x.)
Transcribed Image Text:D A L EI (X=-L) B L/2 EI C (x=2) Figure 1: (NOTE: In the left span (AB), -L≤x≤0, distance from A = x+L, and distance from B = −x. In the right span (BC), 0 ≤x≤L/2, distance from B = x, and distance from C = L/2-x.)
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