How effective adding an angle to the side at strengthening an enclosure

A rectangular cabinet is strongest at the corners. The sides act as a brace. To some extent adding an angle/side to the enclosure should have the same effect. I assume that this has been studied and can be shown mathimaticly. However, my Google skills have failed me. Does anyone know of a calculator for this type of thing?

My current example of what I am talking about is building a speaker 30" h x 14" w x 12" d. If I were to miter the side panels at 6" back from the baffle so that the back of the speaker were smaller how much would this make the side panels stronger/stiffer?
 
If I'm understanding you correctly and the side panels only go back, say, half way.. and if the tendency of the panel to flex there where the angled piece joins, and the strength of that angled piece in the direction the side panel wants to flex are as good as putting a back corner there then effectively cutting the dimension in half will make a significant contribution to strength, which is important in a cabinet.

This doesn't mean it will be immune to vibration.. and making angled joints can sometimes be tricky to do well. Therefore braces and panel damping may still be a good thing.
 
I am not sure what you are describing. Are you asking if a trapezoidal shaped cabinet will strengthen the box.

No, but the top and bottom panels should be slightly less prone to moving because of the shape.

Tappan-braces.gif


Higher is generally better.

dave
 
augerpro, while Dave may correct me I see it as a single panel, held at the edges and showing the benefit of attaching a reinforcing rail in different directions, and judging its effectiveness at reducing panel movement by measuring an increase in resonance frequency.
 
augerpro, while Dave may correct me I see it as a single panel, held at the edges and showing the benefit of attaching a reinforcing rail in different directions, and judging its effectiveness at reducing panel movement by measuring an increase in resonance frequency.

Ok thanks. So the frequency listed is the new resonant frequency with the brace shown? "Theo" must mean theoretical Fs, and "Exp" what he actually measured?
 
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Duanebrow mentioned he wanted to use less than a 45’ angle but in that configuration wouldn’t 45’ be the strongest option?
You can custom cut locking corners on a table saw at different angles but it’s much more of a pita……you could also use biscuits to join odd angles.