Pipe (elements)

Description

A round concrete pipe simply supported along its bottom edge only, is subjected to a vertical knife-edge load along the top edge line.

Geometry

Inner diameter: 0.6[m]; Outer diameter: 0.8[m]; Thickness: 0.2[m]
Modulus of Elasticity: 3,000,000[t/m2]; Poisson ratio: 0.3
Elements: 48 rectangular elements
Supports: Pinned

Loads

Concentrated load: -3.6 at nodes 25 and 75.

Reference

Raymond J Roark, Roark’s Formulas for Stress and Strain, Fourth Edition. (Table VIII- Case 1), 1965 4^th edition, McGraw – Hill book company.

Calculations

+Mmax = 0.3183 WR (at x=0)

-Mmax = 0.1817 WR (at x= pi/2)

Dy = -0.149ky (WR3/EI); where ky = 1.03833 for Ro/Ri = 1.3333

Comparison of Results