A steel column of length 6 m forms part of a support structure and is subjected to an axial compressive load ‘P’ as shown in Figure Q3(b). Both ends of the column are fixed. The column has the ‘I’ cross-section also detailed in Figure Q3(b). The Young’s modulus (E) for the steel is 210 GN/m2 . i) Determine the slenderness ratio for the column and show that Euler theory is valid. ii) Calculate the critical buckling load using Euler theory. iii) Evaluate the safe working load for the column if a load factor of 3 is required.
A steel column of length 6 m forms part of a support structure and is subjected to an axial compressive load ‘P’ as shown in Figure Q3(b). Both ends of the column are fixed. The column has the ‘I’ cross-section also detailed in Figure Q3(b). The Young’s modulus (E) for the steel is 210 GN/m2 . i) Determine the slenderness ratio for the column and show that Euler theory is valid. ii) Calculate the critical buckling load using Euler theory. iii) Evaluate the safe working load for the column if a load factor of 3 is required.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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A steel column of length 6 m forms part of a support structure and is subjected to
an axial compressive load ‘P’ as shown in Figure Q3(b). Both ends of the column
are fixed. The column has the ‘I’ cross-section also detailed in Figure Q3(b). The
Young’s modulus (E) for the steel is 210 GN/m2
.
i) Determine the slenderness ratio for the column and show that Euler
theory is valid.
ii) Calculate the critical buckling load using Euler theory.
iii) Evaluate the safe working load for the column if a load factor of
3 is required.
Transcribed Image Text:75 mm
Fixed
6 m
125 mm
All plates 7.5
mm thick
Column Cross-Section
Fixed
Figure Q3(b)
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