1. A railcar barge is a perfect wall-sided rectangle 52m long, 9m wide and floats initially at an
even-keel draft of 2m with a KG of 3m in seawater with a density of 1025 kg/m^3 . A 25,000 Kg
railroad car is loaded onto the barge, with its center of mass 6m in from the stern end of the
barge. Use the small weights method for this problem, approximating the barges KG, TPC,
MCT1”, and waterplane area as constant during the loading of the railcar.
1a: Calculate the TPC and the true (GM based) and approximate (BM based) moment to trim
1cm for the barge and compare them.
1b: What is the parallel sinkage when the railcar comes aboard?
1c: What moment does the railcar make about the LCF of the vessel, and what is change in trim
using the exact moment to change trim 1cm?
1d: What are the new drafts at: the bow, the stern, amidship, and 10m forward of amidships?