In a universal beam section, b = 40 mm and t = 2 mm for its flange element. Calculate the theoretical local buckling stress of this element in compression?

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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4. In a universal beam section, b = 40 mm and t = 2 mm for its flange element. Calculate the theoretical
local buckling stress of this element in compression?
Transcribed Image Text:4. In a universal beam section, b = 40 mm and t = 2 mm for its flange element. Calculate the theoretical local buckling stress of this element in compression?
Expert Solution
Step 1: Introduction

The width of the flange section is b equals 40 space text mm end text.

The thickness is t equals 2 space text mm end text.

The formula to calculate the theoretical local buckling stress is given by,

f subscript o l end subscript equals k fraction numerator pi squared E over denominator 12 open parentheses 1 minus nu close parentheses squared end fraction open parentheses t over b close parentheses squared

Here, E is Young’s modulus, t is the plate thickness, b is the plate width, k is is a plate buckling coefficient which depends on the support conditions and nu is Poisson’s ratio.

The value of k is 4 minus 4.5. Take k equals 4.

Assume E equals 2 cross times 10 to the power of 5 space text N/mm end text squared and nu equals 0.30.

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