A steel column of length 4.75 m forms part of a support structure and is subjected to an axial compressive load 'P' as shown in Figure Q4(a). One end of the column is pinned and the other is fixed. The column has the hollow rectangular cross-section also detailed in Figure Q4(a). The Young's modulus (E) for the steel is 203 GN/m. 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 4.75 m forms part of a support structure and is subjected to an axial compressive load 'P' as shown in Figure Q4(a). One end of the column is pinned and the other is fixed. The column has the hollow rectangular cross-section also detailed in Figure Q4(a). The Young's modulus (E) for the steel is 203 GN/m. 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 4.75 m forms part of a support structure and is subjected
to an axial compressive load 'P' as shown in Figure Q4(a). One end of the
column is pinned and the other is fixed. The column has the hollow rectangular
cross-section also detailed in Figure Q4(a). The Young's modulus (E) for the
steel is 203 GN/m'.
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd494d8c6-8a30-4ba3-b553-8b81c3bc9b6c%2F4ed91148-6b15-4925-ad06-44d7198d1fd4%2Fm96vz5y_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A steel column of length 4.75 m forms part of a support structure and is subjected
to an axial compressive load 'P' as shown in Figure Q4(a). One end of the
column is pinned and the other is fixed. The column has the hollow rectangular
cross-section also detailed in Figure Q4(a). The Young's modulus (E) for the
steel is 203 GN/m'.
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.
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