# How to find Ship Transverse Metacentic Height

I did a Civil Engineering course some years ago and from my textbook I had this question. I found that a very interesting question, but unfortunately I haven't been able to find a solution to this. I encourage people to put comments up, but ideally I would be appreciative if the comments are related as to how you do the calculation process to get to the answer.

The half ordinates of the contour of the load water plane of a ship of 2,800 metric tons displacement, measured at intervals of 6 m, are 0.30, 3.33, 5.07, 6.18, 6.75, 6.90, 6.75, 6.18, 5.61, 4.47, 0.60 m respectively. If the centre of gravity is 1.87 m above the centre of buoyancy, calculate the transverse metacentric height. Sea water has a density of 1,025 kg/m^3.

Also, just wondering how you would best Explain the relation between metacentre and curve of buoyancy as vessel heals over.

• What have you done so far? If you show some effort... Have you applied the process given here: engineering.stackexchange.com/q/29643/10902 Aug 20, 2019 at 6:37
• @SolarMike i have tried to find an answer from from Question 4 example on pages e42 to e44 on this website booksite.elsevier.com/9780080982373/downloads/…. The question asks for transverse GM = Transverse BM - BG and we are given BG = 1.87 m From doing the calculations I got BM =1.958 m, so the difference = 1.958 - 1.87 = 0.088 m . That is not correct as answer in textbook is 0.74 m. Aug 20, 2019 at 14:10
• @SolarMike I have found with previous post that I have done, that if I put the answer up first it seems to discourage some people from giving me a comment or they give me one comment and if I want to clarify something, then I never hear from them again. So this is why I have done it the way I have. I am creating a website on cruise ships at the moment and this is an activity on the side, so I want to get it sorted out as quickly as I can. I hope you understand. I may also want to do a website on these sort of calculations in the future as well and knowing them will help with that. Aug 20, 2019 at 14:13
• Well, up to you, just that questions that show effort seem to be better received... BTW vessels "heel" as in keel, they don't tend to heal... Aug 20, 2019 at 15:02
• @SolarMike I have done calcs in Excel and copied them here. Now we can discuss calcs I have tried to get to answer. You can see from my calcs, I got 0.84 m for Transverse metacentric height and textbook answer is 0.74 m. So question now is, is 0.84 m correct or 0.74 m? Are you guys experts on Ship Stability, if you are then, I'd kindly appreciate your feedback to my questions. If you don't know this, but know someone that understands this really well, then I'd be really appreciative if they could check over my calcs and see if they can get 0.74 m like textbook answer. Sep 1, 2019 at 2:46