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 4th 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
Element | Node | Result type | Result | Deviation | |
Theoretical | STRAP | ||||
– | 25 | Deflection – y | 0.000191 | 0.000190 | 0.52% |
25 | 25 | +Mmax | 0.08021 | 0.08130 | 1.34% |
13 | 13 | -Mmax | -0.04579 | -0.04598 | 0.41% |