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A cylindrical platform of diameter of 2.82 m and height 4.1 m floats in saline water (density = 1026 kg/m³) with freeboard of 1.4 m. (e) What is the mass of the displaced water? (f) What is the density of the platform?

A cylindrical platform of diameter of 2.82 m and height 4.1 m floats in saline water (density = 1026 kg/m³) with freeboard of 1.4 m. (e) What is the mass of the displaced water? (f) What is the density of the platform?

Structural Analysis
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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A cylindrical platform of diameter of 2.82 m and height 4.1 m floats in saline water (density = 1026 kg/m³) with freeboard of 1.4 m. (e) What is the mass of the displaced water? (f) What is the density of the platform? (g) What is the maximum load that can be placed on the platform given that a minimum freeboard of 0.9 m must be maintained? (h) Given that the platform is loaded with its maximum load and that the centre of gravity of the load is a distance 0.2 m directly above the centre of the platform, what is the distance from the bottom of the platform to the centre of gravity of the loaded platform? (i) What is the metacentric height for the loaded platform for this configuration?
Transcribed Image Text:A cylindrical platform of diameter of 2.82 m and height 4.1 m floats in saline water (density = 1026 kg/m³) with freeboard of 1.4 m. (e) What is the mass of the displaced water? (f) What is the density of the platform? (g) What is the maximum load that can be placed on the platform given that a minimum freeboard of 0.9 m must be maintained? (h) Given that the platform is loaded with its maximum load and that the centre of gravity of the load is a distance 0.2 m directly above the centre of the platform, what is the distance from the bottom of the platform to the centre of gravity of the loaded platform? (i) What is the metacentric height for the loaded platform for this configuration?
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