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Problem

Straight Cantilever Beam modeled by regular shape elements.

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.

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.

Comments

This is a cantilever beam subjected to out-of-plane loading. The aspect ratio of the elements of this problem is 5.0. Hence this problem demonstrates the performance of various elements with such a high aspect ratio. Neglect Shear Deformation

 

CAEFEM v6.0, MSC NASTRAN for Windows v1.0, ANSYS v5.3

Analytical Solution:

Tip Deflection

Max. Normal Stress at fixed end

Fundamental frequency

Buckling Load due to axial load

0.432

18000

89.09 Hz

11.42

Note: Bar charts currently not shown: Buckling loads for MSC NASTRAN and ANSYS

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