Linear And Nonlinear Analysis Of A Cantilever Beam Using Marc Mentat

WORKSHOP 1 LINEAR AND NONLINEAR ANALYSIS OF A CANTILEVER BEAM

MAR101, Workshop 1, September 2008 Copyright© 2009 MSC.Software Corporation

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● 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

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a b

Section A-A

Length, L

100.0 in

2.54 m

a

1.0 in

25.4 mm

b

2.0 in

50.8 mm

30.0 x 106 lb/in3

Young’s Modulus

207 GPa

Poisson’s Ratio

0.3

0.3

P

6000 lb

27200 N

MAR101, Workshop 1, September 2008 Copyright© 2009 MSC.Software Corporation

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● 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

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●

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 Young’s 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

11. Submit model for analysis 12. View results by plotting the Y displacement

MAR101, Workshop 1, September 2008 Copyright© 2009 MSC.Software Corporation

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●

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

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MAR101, Workshop 1, September 2008 Copyright© 2009 MSC.Software Corporation

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