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D-01 (Bathe Membrane + Beam)

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Objective

To verify the combined behavior of compatible membrane and beam elements

 

Problem Description

An 8 x 12 cm plate is fixed on three sides.  It is reinforced with a bar element in the middle as shown below.  The free end of the bar is subjected to a horizontal force of 6000 N.

 

Material properties: E = 30e6 N/cm2, ν = 0.30

 

Plate thickness t = 0.1 cm

 

Bar cross sectional area = 1 cm2

 

D-01 (Bathe Membrane + Beam)1

 

Finite Element Model

2 shell elements + 1 beam element

Model type: 3D Frame & Shell (use compatible membrane formulation)

 

Results

The tip displacement of the bar given by ENERCALC 3D is compared with that given by [Ref 1] as follows:

Unit: displacement - cm

 

 

ENERCALC 3D

[Ref 1]

Tip displacement Dx @ N4

9.34e-4

9.34e-4

 

Comments

The result given by ENERCALC 3D is identical to the referenced value.

 

Reference

[1]. Bathe, “Finite Element Procedures”, pp361, Prentice-Hall, Inc., 1996