Max Pillared



Max Pillared
Physics Volume Question?

If 1.0m^3 concrete weighs 5.0×10^4N, what is the height of the tallest cylindrical concrete pillar that will not collapse under its own weight? The compression strength of concrete (the max pressure that can be exerted on the base of the structure) is 1.7 x 10^7 Pa.

Answer = 340 m

How and why

Using

V = 1.0 cu m
W = 5.0E+4 N
Cs = 1.7E+7 Pa

Pressure = Force / Area

Given pressure and force, solve for area

A = F/P

A = (5.0E+4 N) / (1.7E+7 Pa)
A = 2.94E-3 m^2

A cylinder is V = pi * r^2 * h

Where pi * r^2 is the area of one end, which we have as A. Rearrange and solve for h

h = V / A

h = (1.0 m^3) / (2.94E-3 m^2)
h = 340 m

Final Fantasy VIII – Ultima Weapon


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