2. An 8-m long steel column is pinned at the top and fixed at the bottom. The column is provided with lateral support 3m from the top in the weak direction. The properties of the column section are as follows: Ix = 178x10 mm ly=18.8x10 mm A = 8129mm² Fy = 400 Mpa K = effective length factor K = 1.0 when both ends are pinned K = 0.5 when both ends are fixed K = 0.7 when one end is fixed and the other end is pinned a. What is the critical effective slenderness ratio? b. What is the buckling stress of the column? c. Calculate the critical load P in KN.

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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2. An 8-m long steel column is pinned at the top and fixed at the bottom. The column is provided with
lateral support 3m from the top in the weak direction.
The properties of the column section are as follows:
Ix = 178x10 mm*
ly = 18.8x10 mm
A = 8129mm¹
Fy = 400 Mpa
K = effective length factor
K = 1.0 when both ends are pinned
K = 0.5 when both ends are fixed
K = 0.7 when one end is fixed and the other end is pinned
a.
What is the critical effective slenderness ratio?
b.
What is the buckling stress of the column?
c. Calculate the critical load P in KN.
Transcribed Image Text:2. An 8-m long steel column is pinned at the top and fixed at the bottom. The column is provided with lateral support 3m from the top in the weak direction. The properties of the column section are as follows: Ix = 178x10 mm* ly = 18.8x10 mm A = 8129mm¹ Fy = 400 Mpa K = effective length factor K = 1.0 when both ends are pinned K = 0.5 when both ends are fixed K = 0.7 when one end is fixed and the other end is pinned a. What is the critical effective slenderness ratio? b. What is the buckling stress of the column? c. Calculate the critical load P in KN.
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