Figure 15.4: Lateral-Torsional Buckling of a Cantilever I-Beam
Lateral-Torsional Buckling of a Cantilever I-Beam, Modeled With 60 BEAM188 Elements
(Displayed Using /ESHAPE)Buckling Analysis (p. 179) in the Structural Analysis Guide documents buckling analysis in detail.This
sample problem shows what happens when a cantilever beam is subjected to a concentrated end load,
which causes lateral-torsional buckling.
15.7.1. Problem Description
A straight, slender cantilever beam has one fixed end and one free end. A load is applied to the free
end. The model is analyzed using eigenvalue buckling calculations, followed by a nonlinear load versus
deflection study. The objective is to determine the critical value of the end load (indicat ed by P in Fig-
ure 15.5: Diagram of a Beam With Deformation Indicated (p. 452)) at which the beam undergoes a bifurc-
ation indicat ed by a large displacement in the lateral direction.
15.7.2. Problem Specifications
The following material properties are used for this problem:
Young's modulus = 1.0 X 10^4 psi
Poisson's ratio = 0.0
The following geometric properties are used for this problem:
L = 100 in
H = 5 in
B = .2 in
Loading for this problem is:
P = 1 lb.
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