Show that in a hollow circular section chimney of external diameter D and internal diameter d, the resultant line of thrust due to lateral pressure and self-weight should fall within (D^ 2 -d^ 2 )/8D of the centre line of the chimney for no tension at the base.

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter4: Coplanar Equilibrium Analysis
Section: Chapter Questions
Problem 4.153P: Repeat Prob. 4.152 assuming that the 400-kN force is applied at O instead of L.
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Show that in a hollow circular section chimney of external diameter D and internal diameter d, the resultant line of thrust due to lateral pressure and self-weight should fall within (D^ 2 -d^ 2 )/8D of the centre line of the chimney for no tension at the base.

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