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This test, also known as the Scordelis-Lo roof, lets you check analysis results for a cylindrical roof under its own weight, in the context of a static case. You will use 2D meshes. |
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Reference: SCORDELIS A.C., LO K.S., Computer Analysis of Cylindrical Shells, Journal of the American Concrete Institute Vol. 61, pp539-561, 1969. |
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Length: |
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Radius: |
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Thickness: |
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Angle: |
Young Modulus (material): |
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Poisson's Ratio (material): |
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Mesh Specifications:
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Restraints (User-defined): |
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Loads (surface force density = weight of the roof): |
The results (in mm) correspond to the vertical displacement at Point A.
Number of Nodes |
Theoretical Values |
Computed Values |
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Linear Triangle |
Parabolic Triangle |
Linear Quadrangle |
Parabolic Quadrangle |
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Shallow Shell |
Deep Shell |
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5 x 5 |
37.03 |
36.10 |
29.56 |
40.83 |
40.18 |
37.05 |
9 x 9 |
37.03 |
36.10 |
34.57 |
37.88 |
37.84 |
36.39 |
15 x 15 |
37.03 |
36.10 |
37.04 |
38.54 |
37.12 |
36.74 |
To Perform the Test:
The Cylindrical_Roof_QD8_15nodes.CATAnalysis document presents a complete analysis of this case, computed with a mesh formed of parabolic quadrangle elements (QD8).
To compute the case with linear quadrangle (QD4), linear triangle (TR3) and parabolic triangle (TR6) elements, proceed as follow:
Open the CATAnalysis document.
In the Advanced Meshing Tools workbench, replace the mesh specifications as indicated above.
In the Generative Structural Analysis workbench, compute the case.