A cargo space 20 metres wide, 24 metres long and 4 metres high is to be partly

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A cargo space 20 metres wide, 24 metres long and 4 metres high is to be partly loaded with 350 tonnes of baled paper (stowage factor 1.6). How many tonnes of cartoned metal boxes (stowage factor 0.8) can be stowed in the remaining space if an overall allowance of 5% is made for broken stowage? Express the answer to the nearest tonne. Ans: 1580 tonnes

Q.2 A sling is rigged on a piece of pipe weighƟng 1,000 kg. What strain is exerted on each sling leg when the pipe is liŌed with an angle of 140 degrees between the legs? Ans: 1461.9 kg

Q.3 (a) Refer to the data sheet of wire rope with 19 strands and 7 wires per strand (printed in slides 91-92 of Lecture 4 handout). According to the general pracƟce of applying the raƟo of MBL to SWL, determine the maximum strain (expressed in tonnes) that can be applied to the wire rope of diameter 10 mm, with due regards to safety. (b) Suppose the above type of wire ropes will be used as the slings in Q.2, decide whether the wire ropes of the four different diameters shown in the data sheet can fit for the purposes. If yes, please specify which diameter(s) of wire rope(s) is/are suitable. Ans: (a) 1.0717 tonnes; (b) wire ropes with diameters 12 mm and 14 mm

Q.4 A wooden log of RD 0.75 measures 6.1 metres long and has a circular cross-section 0.61 metre in diameter. If the log floats in dock water of RD 1.020, calculate the volume of reserve buoyancy of the log. (Use π = 3.142) Ans: 0.472 cubic metre

Q.5 You are onboard a ship berthing in a harbour of the following places. Given that your local time is 3 P.M. on 25 March 2022. You want to make a phone call to your friend in Hong Kong (114°E). What date and time is it in Hong Kong? (a) Christmas Island (position 1 52’N 157 24’W) (b) Hawaii (20 54’N 156 36’W) Ans: (a) 9 A.M. on 25 Mar 2022 (b) 9 A.M. on 26 Mar 2022

Q.6 A ship of 14000-tonne summer displacement has completed loading in a port inside an inland harbour (RD 1.025). It is expected to achieve a loaded summer draught of 8.13 metres on entrance to open sea. Assume that TPCsw 20 tonnes is more or less constant throughout the range of the ship’s draughts from winter loadline to tropical loadline marks. The ship has to sail 80 nautical miles, at speed 10 knots, daily consumption of fuel oil and water 15 tonnes, from the loading port to open sea. On arrival at open sea 65 tonnes of ballast water and 5 tonnes of rubbish will be discarded from the ship, and 5 tonnes of fresh water and stores will be transferred to a pilot vessel to meet the requirement of the loaded summer draught. Calculate the draught when the ship is departing from the loading port. Ans: 8.17 m

Q.7 Suppose you are planning to use a ship of lightweight 3000 tonnes to transport a cargo of 16000 tonnes from Yokohama to San Francisco along a Great Circle path (distance: 4488 nautical miles), and a backhaul cargo of 10000 tonnes on the trip returning to Yokohama. Suppose the ship is carrying a maximum capacity of 700-tonne fuel oil and 300-tonne fresh water. The weights of the ship’s crew and stores are negligibly small compared to the displacement of the ship. Assume a daily consumption of 20-tonne fuel oil at a ship’s speed of 18.7 knots when sailing the ship with summer displacement of 20000 tonnes, a fixed daily consumption of 5-tonne fresh water regardless of ship’s speed and displacement, and no re-fueling of bunker and water at San Francisco. If you plan a 10-day trip for the ship sailing from Yokohama to San Francisco and 12-day trip for returning to Yokohama, how much fuel oil and fresh water remain onboard when the ship returns back to Yokohama when assuming all other factors identical in both of the two trips? Ans: Fresh water remained = 190 tonnes; fuel oil remained = 391.8 tonnes

Q.8 A vessel of summer deadweight 15,300 tonnes, tropical deadweight 15,800 tonnes, winter deadweight 14,800 tonnes, is to load in Yokohama for Boston, calling at Singapore, Colombo, Aden and Port Said. Depart Yokohama on 2nd Oct. The ship is to load 4,500 tonnes of cargo at Singapore and 850 tonnes of cargo at Colombo. Bunkers initially on board at Yokohama 372 tonnes; daily consumption 48 tonnes. Fresh water initially on board 120 tonnes; consumption per day 18 tonnes. There are to be 3 days reserve of oil fuel and fresh water at all times. Bunkers and fresh water are to be taken at Yokohama, Singapore, Colombo, Aden (offering the lowest oil price) and Port Said as required. • A: Yokohama to Singapore, summer zone, steaming time 10 days. • B: Singapore to Colombo, tropical zone, steaming time 5 days. • C: Colombo to Aden, tropical zone, steaming time 6 days. • D: Aden to Port Said, tropical zone, steaming time 5 days. • E: Port Said to Boston, seasonal winter zone (winter season 4 days after leaving Port Said), steaming time 14 days. Calculate the maximum amount of cargo to load at Yokohama, also the oil fuel and fresh water loaded at the various ports that can maximize the cargo loaded at the first port and minimize the overall bunkering cost. Ans: Port name Cargo loaded Oil fuel loaded Fresh water loaded Yokohama 8592 tonnes 252 tonnes 114 tonnes Singapore 4500 tonnes (known) 240 tonnes 90 tonnes Colombo 850 tonnes (known) 288 tonnes 108 tonnes Aden 912 tonnes 342 tonnes

Q.9 Three weights are placed on a plank. One 15-kg mass is placed 0.6 metre in from one end, the next of 12 kg mass is placed 1.5 metres in from the same end and the last of 18 kg mass is placed 3 metres from this end. If the mass of the plank be ignored, (a) find the resultant moment about the end of the plank. (b) Re-calculate the resultant moment if the mass of the uniform plank is 5 kg and the length of the plank is 4 metres. Ans: (a) 81 kg۰m; (b) 91 kg۰m