Shear forces and bending moments on a box barge, formulas

[Helen p]

Homework Statement

I need to determine loading sequences for a box barge - I have lots of information on the actual question, which I can't put up here because I have not attempted this question. I am really after some advice as to where I can find the equations I need. My (merchant navy) course doesn't provide course material for this class and my notes aren't very good because I was rushing to keep up.

I really need to know where to look for the equations for shear force and bending moments but I keep finding lots of different calculations and I just don't recognise any of them although I have given what I know below...

Homework Equations

I know that the buoyancy of the box-barge provides an upwards force and the cargo weight provides a downward force leading to shear force where these two meet.

I know that I need to use length (L, in m), beam (B, in m), depth (D, in m) and lightship displacement (Delta, in tonnes).

I have several loads which I must put into the ships compartments, not exceeding the maximum bending moment or maximum shear force - but I don't know where to find the formulas. does anyone know of a site that lists the formulas I need?

The Attempt at a Solution

I remember doing...

B= d x Pw (buoyancy = displacement x L x B)

and then stress analysis = buoyancy /L (giving buoyancy/meter)

I then recall something like...buoyancy goes up, cargo weight goes down and mass of structure goes down so a diagram can be produced...

mass of structure/length of compartment=downward forces
mass of structure/length of compartment=upward forces (in hold with no cargo)

This is my first post, and I'll probably get shot down but I thought I'd try. I'm struggling through an engineering degree that I am in no way qualified for but I'm sure it will all start making more sense eventually.

 

[anathema]

I recommend first looking at basic principles of buoyancy and weight distribution in a floating vessel. This will give you a better understanding of the forces at play in a box barge. Some equations you may find useful include Archimedes' principle and the equation for calculating the center of gravity of a vessel.

Next, you can look at more specific equations for shear force and bending moments, such as the shear force and bending moment diagrams for a simply supported beam. These can be found in many engineering textbooks or online resources.

It may also be helpful to consult with a naval architect or marine engineer who has experience with box barges. They may be able to provide you with specific equations and calculations for your particular barge.

Lastly, don't be discouraged if you are struggling with your engineering degree. It takes time and practice to fully understand these concepts, and seeking help from others is always a good idea. Good luck with your studies!