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Problem |
Straight Cantilever Beam modeled with trapezoidal shape elements. |
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Reference |
R.H. Macneal and R.L.Harder, "A Proposed Standard Set of Problems
To Test Finite Element Accuracy," Finite Elements in Analysis and
Design, 1, pp 3-20, 1985. |
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Data |
Length = 6.0, Width = 0.2, Depth = 0.1
Young’s Modulus =10.0E6, Poisson’s ratio = 0.3, Mass
Density=2.53881E-4
Loading: Unit force at free end.
Constraints: Fixed at one end and all out-of plane translations and
rotations are fixed.
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Comments |
This is a cantilever beam subjected to in-plane loading. The aspect
ratio of very distorted elements of this problem is 5.0. Hence this
problem demonstrates the performance of distorted elements with high
aspect ratio. |
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CAEFEM v6.0, MSC NASTRAN for Windows v1.0, ANSYS v5.3 (generated using
FEMAP) |
Analytical Solution:
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Tip Deflection |
Max. Normal Stress at fixed end |
Fundamental frequency |
Buckling Load due to axial load |
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0.1081 |
9000 |
178.0 Hz |
45.69 |
Note: Bar charts currently not shown: Buckling load for MSC NASTRAN and ANSYS,
and Max. Normal Stress for MSC NASTRAN CQUAD4
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