Help with lattice hinge calculations

[jamesson]

Can anyone confirm the claim on this site that n is greater or equal to 23 when Theta is 90 degrees and t is 3? My calculations indicate that the argument of arccosine in the numerator has to be very close to 1, but the numerator of the argument (k_laset+t) is 3.1 whereas the denominator (2*sqrt(t^2/2)) is approximately 4.242.

Thanks

Joe

 

[hutchphd]

These are all small angles. The bend angle (in radians) from one link to the next will be 0.2/3. This is also the angle subtended by that link on the circle. The number of links is then pi/2 divided by that angle which is 23.56 by my calculation.

 

[jamesson]

Ok, could you please explain how you arrived at that, especially 0.2/3?

EDIT: I'm assuming 0.2=2*k_laser, and 3 is thickness?

 

[hutchphd]

That is the arc thru which the "hinge" will sweep to go from flat to circle.