What Makes your Boat Float?
Some simple calculation can make a point.
At our monthly Tankerman Seminars we have a segment called "States of Matter in a Barge". In the segment we discuss simple concepts of physics that are important basics for Tankermen. One of the topics discussed is buoyancy, which is obviously important to anyone working on a boat. If it doesn't float, we might as well be out of the business.
So the discussion always asks, "Why can a steel hulled boat float"?
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Tank Vessel SELMA, 1919 |
Not a bad question considering your real life experiences tells you that steel is a heavy material. What about cement? During WWI and WWII, there were a number of ships made of cement; they floated just fine. Just off of the Houston Ship Channel east of Pelican Island, you can see the remains of one of those ships, the T/S SELMA. The T/S SELMA was built of steel reinforced cement in 1919 as a tanker. She operated on the Gulf Coast until hitting a jetty while entering Tampico, Mexico. She ended up in Galveston where repairs failed.
Back to the real question; why do displacement hulls float?
First, what is "displacement"? Displacement literally means the moving of something from its place or position. When we displace water with a boat, we are moving the water out and replacing it with the hull. Salt water weighs about 63.4 pounds per 1 cubic foot. If my boat displaced 1 cubic foot of water, it would have to weigh less than 63.4 pounds to float. Any heavier, it is going to the bottom.
Every boat depends on the displacement of water to provide the buoyancy for the hull. When a towboat is floated, she sinks into the water until the weight of the surrounding water displaced by her underwater volume is equal to the weight of the entire boat. As additional weight is added to the hull either by equipment, fuel, water, etc., the boat will sink lower and lower. The upward force created by this displacement is the vessel's buoyancy.
If additional weight in terms of cargo, etc is added to the boat, and the boat sinks below the normal waterline, the buoyancy addition needed to keep the hull from sinking comes from the "reserve buoyancy". This is the difference between the volume of a hull below the designed waterline and the volume of the hull below the lowest opening incapable of being made watertight.
Most towboats are no longer watertight once we reach the first deck windows. That then becomes the end of our reserve buoyancy if we ever sank that low.
Ok, what does a typical Higman towboat displace? Let's do some rough calculation assuming we are floating in salt water that weighs 63.4 pounds per 1 cubic foot.
Start with our hull dimensions:
Our boat is 78 feet long and 34 feet wide. The hull from the base line to the deck is 10 feet deep. There is a rise from the deepest part to the bow, and another rise from the base to the stern.
Here is a ROUGH calculation for the hull volume in cubic feet:
78 x 34 x 10 minus the volume of the 2 cut-outs of the rises; = (78*34*10)-((25*34*7)/2)-((18*34*7)/2)
This equals 21, 403 cubic feet (I emphasize it is a Rough Calculation).
Now multiply this by the weight of the water that could be displaced by this hull: 21,403 x 63.4 = 1,356,950 pounds
Divide by 2,000 and we get tons of displacement or......678.5 tons.
This says that for our boat to float no deeper than the main deck, all the steel, machinery, fuel, water, equipment, and crew cannot weigh more that this amount, 678.5 tons. Anymore weight and you get wet feet.
What about the open spaces in the hull? We all know that the engine room is the largest open space in the hull. What happens if it fills with water?
Back to the calculations....Calculate the engine room volume which is the length, width and height of the space minus some dead rise in the stern:
33 feet long, 34 feet wide and 10 feet high minus the small dead rise; (33*34*10)-((1.5*6*34)/2).
This equals 11,067 cubic feet. Use the same calculation to see the weight of the water it could hold and you get.....350.8 tons
Remember this is a rough calculation but it highlights the importance in keeping your engine rooms secured while underway. Over half of your buoyancy is being provided by that space. If it starts to fill due to down-flooding from an open door, it does not take much for the vessel to start sinking.
How about the forward hold? That is another large space located below the waterline.
If we do the calculation like the ones above, a forward hold volume could hold about 100 tons of salt water. This is a critical area since this equals about 15% of your total buoyancy. Fill it with water due to collision or operational failure and the overall buoyancy will be critically affected.
Towboats are designed for inland waters. They can be safely operated on these waters but they are still vessels constrained by the laws of physics and the realities of buoyancy. Keep your watertight doors shut!