Answer to Question #212465 in Mechanics | Relativity for Sau

Question

Mass density of concrete is 2.3x10³kg/m³. Calculate the height of the tallest cylindrical concrete pillar that will not collapse under its own weight. The compression strength of concrete is 2.0x10⁷N/m². 

Answer 1

$mg=ES,$

$\rho Vg=ES,$

$\rho Shg=ES,$

$\rho hg=E,$

$h=\frac E{\rho g},$

$h=\frac{2\cdot 10^7}{2.3\cdot 10^3\cdot9.8}=887~m.$