This pdf file must be downloaded to view the animations. You also must have Adobe Reader 9 or higher, or Adobe Acrobat. In this exercise, a cantilever beam is subjected to a static load. The beam is initially analyzed using small deformation theory. However, after reviewing the results, it becomes apparent that small deformation theory is not appropriate for this problem. Subsequently, a large deformation analysis is performed and its results are compared to the small deformation analysis.The model is made using eight 2D plane stress, assumed strain, reduced integration (type 114) elements. The elements are uniformly spaced along the length of the beam (i.e. a mesh, eight elements wide and one element deep). The assumed strain, reduced integration element is designed specifically for in-plane bending and is well suited for this problem.The overall model description is provided, followed by itemized steps to complete the example. Animations show model creation steps in the Marc Mentat Graphical User Interface.
WORKSHOP 1 LINEAR AND NONLINEAR ANALYSIS OF A CANTILEVER
BEAM
MAR101, Workshop 1, September 2008 Copyright 2009 MSC.Software
Corporation
WS1-1
Problem Description In this exercise, a cantilever beam is
subjected to a static load. The beam
is initially analyzed using small deformation theory. However,
after reviewing the results, it becomes apparent that small
deformation theory is not appropriate for this problem.
Subsequently, a large deformation analysis is performed and its
results are compared to the small deformation analysis.
a b
Section A-A
(Data in next page)
MAR101, Workshop 1, September 2008 Copyright 2009 MSC.Software
Corporation
WS1-2
a b
Section A-A
Length, L a b Youngs Modulus Poissons Ratio P
100.0 in 1.0 in 2.0 in 30.0 x 106 lb/in3 0.3 6000 lb
2.54 m 25.4 mm 50.8 mm 207 GPa 0.3 27200 N
MAR101, Workshop 1, September 2008 Copyright 2009 MSC.Software
Corporation
WS1-3
Problem Description (Cont.) The model is made using eight 2D
plane stress, assumed strain, reduced
integration (type 114) elements. The elements are uniformly
spaced along the length of the beam (i.e. a mesh, eight elements
wide and one element deep). The assumed strain, reduced integration
element is designed specifically for in-plane bending and is well
suited for this problem.
Objectives: Small vs. large displacement analysis Linear elastic
theory
Required No Supporting file is required.
MAR101, Workshop 1, September 2008 Copyright 2009 MSC.Software
Corporation
WS1-4
Suggested Exercise Steps:1. 2. 3. 4. 5. Create a new database
named tip_load Create a 100 x 2 quad surface cantilever geometry
Create 8 x 1 quad mesh elements Convert surfaces to elements Create
an isotropic material with Youngs modulus = 3e7, Poisson's ratio =
0.3, and mass density = 0.00074 6. Create a 2D planar geometric
property, set thickness = 1 7. Create boundary conditions, fix the
left edge in the X and Y directions 8. Create a 6000 lb point load
in the negative Y direction and apply to top right node 9. Create a
linear static loadcase, # steps = 1 10. Create a plane stress
job
Select linear elastic analysis Select assumed strain Select 114
as the element type
MAR101, Workshop 1, September 2008 Copyright 2009 MSC.Software
Corporation
11. Submit model for analysis 12. View results by plotting the Y
displacementWS1-5
Suggested Exercise Steps:13. Create a multi criteria loadcase
for nonlinear analysis 14. Create a plane stress job for nonlinear
analysis Deselect tip_load and fixed from initial loads Select
large strain Submit for analysis 15. View results by plotting the Y
displacement 16. Compare results
MAR101, Workshop 1, September 2008 Copyright 2009 MSC.Software
Corporation
WS1-6
MAR101, Workshop 1, September 2008 Copyright 2009 MSC.Software
Corporation
Video quality optimized for viewing at 100%WS1-7
