### Buoyancy/Stability Problem#### Problem Statement:A 3-meter-wide barge weighs 20 kN empty. It is proposed that the barge carry a 250 kN load. Predict the draft height, which is the height of the portion of the boat that will be underwater. The boat will be in salt water with a specific gravity (S.G.) of 1.025. Show work and include units.#### Diagram Description:The diagram depicts a barge floating in water. The barge has a trapezoidal cross-section with the following dimensions:- Top width of the barge: 10 meters- Bottom width of the submerged portion: 6 meters- Height from the bottom of the barge to the draft line (the underwater portion): Indicated as "draft"The water is marked as "WATER," and there is an arrow pointing downward labeled "draft" signifying the submerged portion of the barge.#### Solution Approach:To solve this problem, one would calculate the draft using the concepts of buoyancy, where the weight of the barge and its load must equal the weight of the water displaced by the submerged part of the barge. Use the specific gravity and geometric dimensions to calculate the volume of water displaced, thus finding the draft height.

Given, Width of barge=3 m Weight of barge=20 kN Load=250 kN S.G=1.02 To determine, Draft height

7. Buoyancy/Stability A 3-m-wide barge weighs 20 kN empty. It is proposed that it carry a 250 kN load. Predict the draft height. The draft is height of the portion of the boat that will be underwater. The boat will be in salt water (S.G. = 1.025). Show work and include units. WATER 2m 10 m BARGE 6m draft

7. Buoyancy/Stability A 3-m-wide barge weighs 20 kN empty. It is proposed that it carry a 250 kN load. Predict the draft height. The draft is height of the portion of the boat that will be underwater. The boat will be in salt water (S.G. = 1.025). Show work and include units. WATER 2m 10 m BARGE 6m draft

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

Laws of Equilibrium

A body is said to be in equilibrium if the system of forces acting on the body tends to keep the body at rest, in other words, there is no translation motion or net torque on the body. Under such conditions, the equilibrium conditions are to be applied to analyze the condition. The branch of mechanics that deals with this condition is known as 'statics'. Under equilibrium, there are no net forces on the body.

Question

### Buoyancy/Stability Problem

#### Problem Statement:
A 3-meter-wide barge weighs 20 kN empty. It is proposed that the barge carry a 250 kN load. Predict the draft height, which is the height of the portion of the boat that will be underwater. The boat will be in salt water with a specific gravity (S.G.) of 1.025. Show work and include units.

#### Diagram Description:
The diagram depicts a barge floating in water. The barge has a trapezoidal cross-section with the following dimensions:
- Top width of the barge: 10 meters
- Bottom width of the submerged portion: 6 meters
- Height from the bottom of the barge to the draft line (the underwater portion): Indicated as "draft"

The water is marked as "WATER," and there is an arrow pointing downward labeled "draft" signifying the submerged portion of the barge.

#### Solution Approach:
To solve this problem, one would calculate the draft using the concepts of buoyancy, where the weight of the barge and its load must equal the weight of the water displaced by the submerged part of the barge. Use the specific gravity and geometric dimensions to calculate the volume of water displaced, thus finding the draft height.

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