I know this is very very very late in the season, but I am going to design a final tower that will hopefully help me break the 2000 score mark. After rereading through Balsa Man's (may he rest in peace) lengthy Euler's critical load formula, I finally understood at least some of the stuff he was talking about. But I do still have some things I have questions about:
Balsa Man wrote:For our “design strength” for this analysis, we’ll use 4499gr, which is applying a 10% safety factor to the 4090gr force a base segment leg in B tower meeting the 29cm circle bonus will see at a 15kg tower load.
Does this 4499g only apply to square base towers? I can only build rectangular base towers, since I do not have access to a good jig.
Balsa Man wrote: E = the modulus of elasticity (aka Young’s modulus) of column material. This is the inherent stiffness of a piece of wood; it doesn’t depend on, it doesn’t have a relationship to size/cross section. It does have a linear relationship to the density. As discussed in previous posts, as wood density increases, E increases. On average, if you double the density (increase it by a factor 2), E goes up by a factor of about 2.25, but there is significant “variation around the mean”- two sticks, same size and same weight can have significantly different E values, which means significantly different BSs. This is what I was talking about when I noted wood is not a homogeneous material.
Does this mean that if I have a 0.4g 12" 1/8"*1/8" stick, I should get a elasticity of about 0.45g? I am a little confused on whether I need to use certain units (eg pounds per cubic foot, but I don't know how to calculate that) for the equation to work properly.
Balsa Man wrote: I = minimum area moment of inertia (sometimes referred to as the 2nd moment of inertia) of the cross section of the column. For a square cross section leg, where the length of the sides are x, I = (x^4)/12. (that’s x to the fourth power, divided by 12
What is the minimum moment of inertia? I am still in middle school, so I apologize for not getting basic physics concepts.
And what are inverse square calculations?
Again, sorry for asking pretty basic questions. I will admit that the tower design I have been using for the last month or two was not formulated from any math.