GATE CE 2021 Set 2 — Question 47
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Structural Engineering → Torsion, Stress Transformation & Columns → Buckling of Columns
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Question
An elevated cylindrical water storage tank is shown in the figure. The tank has inner diameter of . It is supported on a solid steel circular column of diameter and total height () of . Take, water density = and acceleration due to gravity = .
If elastic modulus () of steel is , ignoring self-weight of the tank, for the supporting steel column to remain unbuckled, the maximum depth () of the water permissible (in m, round off to one decimal place) is _______________.
Correct answer
2.5 to 2.9
Solution
1.The supporting column is modeled as a cantilever (fixed at the base and free at the top with the tank load). The critical buckling load is given by Euler's formula:
where for a cantilever.2.Calculate the moment of inertia for the circular column:
3.Calculate :
4.The load on the column is the weight of the water :
5.Equating to for the buckling limit:
Rounding to one decimal place, .Continue learning with Success Tracker
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