EFFECT OF DENSITY ON SHIP’S VOLUME & DISPLACEMENT

A-BOX SHAPED VESSELES 1-EFFECT OF DENSITY ON SHIP’S VOLUME 2-EFFECT OF DENSITY ON SHIP’DISPLACEMENT

EFFECT OF DENSITY ON SHIP’S VOLUME & DISPLACEMENT ANY BOX SHAPED VESSEL SAILS FROM ONE PORT TO ANOTHER CERTAIN CHANGES OCCURES OVER THE SHIP, AS A RESULT OF THE EFFECT OF DENSITY ON SHIP’S VOLUME & DISPLACEMENT AS WE KNOW THAT THE A RELATION BETWEEN THE DENSITY & MASS WOULD BE ; DIRECT PROPORTION DENSITY ∞ MASS ( DIRECT PROPORTION ) WHICH MEANS THAT WHEN DENSITY DECREASES THE MASS DECREASES WHEN DENSITY INCREASES THE MASS INCREASES DENSITY = MASS kg VOLUME

EFFECT OF DENSITY ON SHIP’S VOLUME & DISPLACEMENT A RELATION BETWEEN THE DENSITY & VOLUME WOULD BE ; INV. PROPORTION DENSITY 1 / ∞ VOLUME ( INV. PROPORTION ) WHICH MEANS THAT WHEN DENSITY DECREASES THE VOLUME INCREASES WHEN DENSITY INCREASES THE VOLUME DECREASES THE VOLUME IS THE SUM OF L * B * DRAFT , THE L & B NEVER CHANGE FROM PORT TO ANOTHER SO THE ONLY PARAMETER THAT CHANGES IS THE DRAFT ,THERFORE THE VOLUME CHANGES ASWELL

1-EFFECT OF DENSITY ON VOLUME A-BOX SHAPED SHIPS 1-EFFECT OF DENSITY ON VOLUME

EFFECT OF DENSITY ON VOLUME LETS SAY A BOX SHAPED VESSEL DISPLACES 20,000 TONS SAILED FROM PORT A HAS WATER DENSITY 1.OOO TO PORT B HAS WATER DENSITY 1.025 , ACCORDING TO THE RELATION BETWEEN DENSITY AND VOLUME “INV.PROPORTIONS” , WE DISCOVERS THAT AT PORT B, THE VOLUME WILL DECREASES AS THE WATER DENSITY INCREASES ( 1.000 PORT A TO 1.025 PORT B ) , WHILE THE SHIP STILL DISPLACES THE SAME 20,000TONS SINCE THE VOLUME = L * B * DRAFT , SO THE CHANGE IN THE VOLUME COMES FROM THE CHANGE IN THE DRAFT

EFFECT OF DENSITY ON VOLUME SHIP’S MASS AT PORT A = SHIP’S MASS AT PORT B WHERE THE MASS = DENSITY * VOLUME ( OLD DENSITY * OLD DRAFT ) = ( NEW DENSITY * NEW DRAFT )

2-EFFECT OF DENSITY ON DISPLACEMENT A-BOX SHAPED SHIPS 2-EFFECT OF DENSITY ON DISPLACEMENT

EFFECT OF DENSITY ON DISPLACEMENT A BOX SHAPED VESSEL DISPLACES 20,000 TONS SAILED FROM PORT A OF WATER DENSITY 1.OOO & DRAFT 7.0 mtrs TO PORT B OF WATER DENSITY 1.025 , AS SHE ARRIVED TO PORT B , THE SHIP’S DRAFT STAYED THE SAME 7.0 mtrs. DESPITE THE DENSITY IS ALREADY CHANGED FROM 1.000 TO 1.025 , THAT MEANS A CHANGE OCCURRED ON THE SHIPS DISPLACEMENT (MASS) YOU WILL FIND THE SHIP DISPLACEMENT BECAME 21,000 TONS AS EXAMPLE. THE RELATION BETWEEN DENSITY & DISPLACEMENT (MASS) IS DIRECT PROPORTIONS ,AS A RESULT THE DISPLACEMENT INCREASED WHEN DENSITY INCREASED ( 1.000 TO 1.025)

EFFECT OF DENSITY ON DISPLACEMENT SHIP’S VOLUME AT PORT A = SHIP’S VOLUME AT PORT B THE SHIP DISPLACES THE SAME VOLUME OF WATER IN BOTH PORTS A & B WHERE THE VOLUME = OLD MASS NEW MASS ------------------------- = ---------------------- OLD DENSITY NEW DENSITY

EFFECT OF DENSITY ON SHIP’S VOLUME & DISPLACEMENT B- SHIP SHAPED VESSELS EFFECT OF DENSITY ON SHIP’S VOLUME & DISPLACEMENT

EFFECT OF DENSITY ON VOLUME & DISPLACEMENT INORDER TO UNDER STAND THE EFFECT WE SHOULD VERY WELL UNDERSTAND THE PLYMSOL MARK ( DRAFT MEASURES) FREE BOARD (RESERVE BOUYANCY ) 54 230mm Tropical Tropical F Fresh FWA Summer 300mm Winter 540mm WNA

EFFECT OF DENSITY ON VOLUME & DISPLACEMENT FWA ( FRESH WATER ALLOWANCE ) DEFINED AS THE NUMBER OF MM THAT INCREASES OR DECREASES IN SHIPS MEAN DRAFT WHEN THE SHIP SAILS FROM SALT WATER TO FRESH WATER & VISE VERSA T P C ( TONS PER CENTIMETRE) DEFINED AS THE NUMBER OF TONS LOADED OR DISCHARGED INORDER TO CHANGE SHIPS DRAFT 1 CM IN SALT WATER FWA = DISPLACEMENT 4 * TPC

EFFECT OF DENSITY ON VOLUME & DISPLACEMENT DWA (DOCK WATER ALLOWANCE) DEFINED AS THE NUMBER OF MM THAT INCREASES OR DECREASES IN SHIPS MEAN DRAFT WHEN THE SHIP SAILS FROM SALT WATER TO DOCK WATER & VISE VERSA. Example : FWA 200mm (0.2mtrs) , DW DENSITY = 1.015 SO DWA = 0.2 * ( 10 ) = 0.08 mtrs ( 80 mm ) 25 (1.025 - DWD) DW A = FWA ---------------------- 25

EFFECT OF DENSITY ON VOLUME & DISPLACEMENT IF THE SHIP SAILS FROM PORT A WHOSE WATER DENSITY IS 1.000 TO PORT B WHOSE WATER DENSITY IS 1.025 ( THE DENSITY INCREASED) , SO ACCORDING TO THE RELATION BETWEEN DENSITY & VOLUME. DENSITY 1 / ∞ VOLUME ( INV. PROPORTION ) WHICH MEANS THAT WHEN DENSITY DECREASES THE VOLUME INCREASES WHEN DENSITY INCREASES THE VOLUME DECREASES THE SHIPS DRAFT WILL DECREASES , THE VALUE OF DRAFT DECREASING EQUALS THE FWA. Eg. SHIP SHAPE V/L SAILED FROM PORT A WITH DENSITY 1.000 TO PORT B WITH DENSITY 1.025 FWA 200MM .OLD DRAFT 7.0mtrs so the new draft will decrease to 7.0 mt - FWA 200MM ( 20CM, 0.2mt ) 7 - 0.2 = 6.8 mt ( NEW DRAFT )

EFFECT OF DENSITY ON VOLUME & DISPLACEMENT EXAMPLE SHIP SHAPE V/L SAILED FROM PORT A WITH DENSITY 1.025 TO PORT B WITH DENSITY 1.015 FWA 200MM .OLD DRAFT 7.0mtrs , DWA 200MM , SO THE NEW DRAFT WILL INCREASE “ACCORDING TO THE INV. RELATION “ BY THE VALUE OF THE DWA ( FROM SALT WATER DENSITY TO DOCK WATER DENSITY ) , OLD DRAFT + DWA = NEW DRAFT 7.0 + 200mm( 0.2mtrs) = 7.2mtrs