Eric ruttan
Senior Member
Firstly, thanks for recognizing this as an actual question, and not a non question.Agreed.
But...
If you take an I-beam, apply a load for a given span, it is easy enough to calculate the deflection and stress.
If you now increase the span, but the same load is applied, what happens? Well the the bending moment increases.
Secondly, yes, but, let us be reasonable.
If you take a 20' fast cat like a tornado and only stretch the hulls make it a 40' cat, yes your example shows a problem.
But no one does that. Well, maybe some people think about taking a cat and cutting the hulls and adding some number of feet. and so in this case your example would apply to a limited extent.
But, if one does the reasonable thing and also increases the web depth of the stretched I beam, (hull depth and width) than the ability of the "I beam" to resist deflective load can increase more or less than the load.
But, again, where is the magic point? As I see it there is not one. yes it seems as if it is a rhetorical question friend Alik, but it is a question.
I was just reading about a designer who needed less reinforcement for a build of larger hull than was needed for a smaller hull on a smaller boat. Because the cross section increased more than loads.