7/21/2019 Chapter 11 Buckling of Columns http://slidepdf.com/reader/full/chapter-11-buckling-of-columns 1/17 1 Chapter 11 BUCKLING OF COLUMNS: 11.1 Introduction 11.2 Stabilit o! Structure" 11.# Buc$lin% o! &in'(nded Colu)n" 11.* Colu)n" +ith Other (nd Condition" 11., Critical Stre"": Cla""i!ication o! Colu)n" 11.- (ccentricall Loaded Colu)n" and the Secant For)ula 11.1 Introduction: • In discussing the analysis and design of various structures in the previous chapters, we had two primary concerns: (1) The strength of the structure, i.e. its ability to support a specified load without experiencing excessive stresses. () The ability of the structure to support a specified load without undergoing unacceptable deformations. ! "hapter 1# deal with an introduction to deflection due to loads determined by various methods. • In this chapter, another type of failure mode called buc$ilng of columns is discussed. %ifferent types of buc$ling will also be discussed. &e shall be concerned with stability of the structure, i.e. with its ability to support a given load without experiencing a sudden change in its configuration. • 'ur discussion will relate mainly to column, i.e. to the analysis and design of vertical prismatic members supporting axial loads. If a beam element is under a compressive load and its length if the orders of magnitude are larger than either of its other dimensions such a beam is called a columns. %ue to its sie its axial displacement is going to be very small compared to its lateral deflection called buckling . ! uite often the buc$ling of column can lead to sudden and dramatic failure. *nd as a result, special attention must be given to design of column so that they can safely support the loads. In loo$ing at columns under this type of loading we are only going to loo$ at four different types of supports: (a) fixed-free; (b) pinned-pinned ; (c) fixed-pinned ; and (d) fixed-fixed .
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11.- (ccentricall Loaded Colu)n" and the Secant For)ula
11.1 Introduction:
• In discussing the analysis and design of various structures in the previous chapters, we
had two primary concerns:
(1) The strength of the structure, i.e. its ability to support a specified load without
experiencing excessive stresses.
() The ability of the structure to support a specified load without undergoing
unacceptable deformations.
! "hapter 1# deal with an introduction to deflection due to loads determined by various
methods.
• In this chapter, another type of failure mode called buc$ilng of columns is discussed.
%ifferent types of buc$ling will also be discussed. &e shall be concerned with stability of
the structure, i.e. with its ability to support a given load without experiencing a sudden
change in its configuration.
• 'ur discussion will relate mainly to column, i.e. to the analysis and design of vertical
prismatic members supporting axial loads. If a beam element is under a compressive load
and its length if the orders of magnitude are larger than either of its other dimensions
such a beam is called a columns. %ue to its sie its axial displacement is going to be very
small compared to its lateral deflection called buckling .
! uite often the buc$ling of column can lead to sudden and dramatic failure. *nd as a
result, special attention must be given to design of column so that they can safely supportthe loads. In loo$ing at columns under this type of loading we are only going to loo$ at
four different types of supports: (a) fixed-free; (b) pinned-pinned ; (c) fixed-pinned ; and