Question: At which point above the fixed end should the lateral support be located in sample problem inorder for the effective slenderness ratio with respect to y-axis be equal for both cases? SAMPLE PROBLEMSSituation 2The W350x90 section is used as a column as a column 10 m long. The column is fixed at one end and hingedat the other end. Braced at midheight about the weak axis(y-axis).br = 250 mmd = 350 mmProperties of W350x90I, = 266x10°mm*Iy = 44.54x10°mm*b, = 16.4 mmA = 11550 mm²1. Determine the effective slenderness ration of the column with respect to lateral buckling about the x-axis.2. Determine the effective slenderness ration of the column with respect to lateral buckling about the y-axis.Situation 2Effective Slenderness Ratio with respect to x- axis.5 mKL0.7(10000)= 46.13%3D10 m266x106V 115505 mEffective Slenderness Ratio with respect to y-axis/KL1.0(5000)= 80.5244.54x10611550Note: That in y- axis we have 2 “K’s" which is for "bothends are hinged (K=1.0)“ and “one end is hinged and oneend is fixed (K= 0.7)".We will compute for theryKL0.7(5000)= 56.36slenderness of the 2 and will choose for the bigger value.44.54x10611550Ty= 80.52

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At which point above the fixed end should the lateral support be located in sample problem in order for the effective slenderness ratio with respect to y-axis be equal for both cases

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

Question: At which point above the fixed end should the lateral support be located in sample problem in
order for the effective slenderness ratio with respect to y-axis be equal for both cases?

SAMPLE PROBLEMS
Situation 2
The W350x90 section is used as a column as a column 10 m long. The column is fixed at one end and hinged
at the other end. Braced at midheight about the weak axis(y-axis).
br = 250 mm
d = 350 mm
Properties of W350x90
I, = 266x10°mm*
Iy = 44.54x10°mm*
b, = 16.4 mm
A = 11550 mm²
1. Determine the effective slenderness ration of the column with respect to lateral buckling about the x-
axis.
2. Determine the effective slenderness ration of the column with respect to lateral buckling about the y-
axis.
Situation 2
Effective Slenderness Ratio with respect to x- axis.
5 m
KL
0.7(10000)
= 46.13
%3D
10 m
266x106
V 11550
5 m
Effective Slenderness Ratio with respect to y-axis/
KL
1.0(5000)
= 80.52
44.54x106
11550
Note: That in y- axis we have 2 “K’s" which is for "both
ends are hinged (K=1.0)“ and “one end is hinged and one
end is fixed (K= 0.7)".We will compute for the
ry
KL
0.7(5000)
= 56.36
slenderness of the 2 and will choose for the bigger value.
44.54x106
11550
Ty
= 80.52

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