The time period of rolling of a ship of weight 29430 kNin sea water is 10 seconds. The centre of buoyancy ofthe ship is 1.5 m below the centre of gravity. Find theradius of gyration of the ship if the moment of inertia ofthe ship at the water line about fore and aft axis is 1000m4. Specific weight of sea water is 10100 N/m³.

Given data- Time period (T) = 10 sec Weight of ship (W) = 29430 kN Moment of inertia (I) = 1000…

Answered: dius of gyration of the ship if the…

Engineering

Civil Engineering

dius of gyration of the ship if the moment of inertia of

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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Concept explainers

Moments

There are various practical applications of the concept of moments, like a rotation of the crank due to linear motion of the piston, the moment of inertia and its use in designing beams and columns, bending moment concept, torque, twisting moment, etc.

Question

The time period of rolling of a ship of weight 29430 kN
in sea water is 10 seconds. The centre of buoyancy of
the ship is 1.5 m below the centre of gravity. Find the
radius of gyration of the ship if the moment of inertia of
the ship at the water line about fore and aft axis is 1000
m4. Specific weight of sea water is 10100 N/m³.

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