A crane barge 20 m long, 8 meters wide and 2 meters high loaded at its center with a road roller weighing 100 kg, floats on fresh water with a draft of 1.20 meters (draft is the submerged height of the barge) and has its center of gravity located along its vertical axis at a point 1.5 meters above its bottom. Determine the following: a.) Weight of the barge in kg. b.) Center of buoyancy c.) The metacentric height from the bottom of the barge. Is the barge stable?

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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A crane barge 20 m long, 8 meters wide and 2 meters high loaded
at its center with a road roller weighing 100 kg, floats on fresh
water with a draft of 1.20 meters (draft is the submerged height
of the barge) and has its center of gravity located along its
vertical axis at a point 1.5 meters above its bottom. Determine
the following:

a.) Weight of the barge in kg.
b.) Center of buoyancy
c.) The metacentric height from the bottom of the barge. Is the
barge stable?

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