Recent content by sippyCUP

Hey tiny-tim, Both h and d are free to vary... but only the ratio of them matters for the final answer. I'm trying to prove that h/d=0.924 produces the smallest (B_g)^2. I ran a spreadsheet with d=10 constant and h varying from 1 to 10. This varied h/d from 0.1 to 1. However, the quantity...

Homework Statement This isn't that hard but I cannot remember a nice Calculus way of doing it. I'm trying to find the ratio of height to diameter of a cylinder that produces the minimum material buckling (B_m)^2. The problem statement my professor provided states that the minimum is found at...

Diagram attached.

hmm I get an answer an order of magnitude off by just taking 6.7E3 / (10*(pi*(0.004m)^2)) = 1.33E7. That's just using 10*[area one side of circle formed by holepunch]. Doesn't take into account the paper thickness, which may be why it's wrong. Maybe your book has a relevant example in the...