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Chapter 26

Columns

Stability of structures
Stability of structures
Consider two rods connected at point O by a pin and a torsional spring of constant k. The ends of both the rods are pin-connected. If both the rods are ...
Euler's Formula for Pin-Ended Columns
Euler's Formula for Pin-Ended Columns
Consider a column PQ, pin-connected at both ends, with a centric axial load applied at end P. Buckling occurs if this load surpasses the critical load. To ...
Euler's Formula to Columns with Other End Conditions
Euler's Formula to Columns with Other End Conditions
Euler's formula for a pin-ended column expresses critical loading using the modulus of elasticity, moment of inertia of the cross-section, and length ...
Euler's Formula to Columns: Problem Solving
Euler's Formula to Columns: Problem Solving
Consider two rigid bars of equal length, AB and BC, connected to each other and a spring of constant k connected to point B. What will be the magnitude of ...
Eccentric Loading
Eccentric Loading
Consider a column subjected to an eccentric loading F. This eccentric loading is equivalent to a combination of centric load F and the couple moment ...
Design of Columns under a Centric Load
Design of Columns under a Centric Load
Euler's formula is used to determine the critical load of a column, and Secant's formula is used to calculate the deformations and stresses of a ...
Design of Columns under an Eccentric Load
Design of Columns under an Eccentric Load
For a column loaded with an eccentric axial load in the plane of symmetry, the normal stresses due to eccentric load can be written as stresses due to an ...
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