Fastened Connection on Beams

This test lets you check analysis results for an assembly of two beams. The aim of this test is to compare the analysis of two beams assembled with a fastened connection with an entire beam. You will use a 3D mesh.

Reference:

The results of the entire beam are computed with CATIA.
 

Specifications

Geometry Specifications

Length:
L = AB = 500 mm  

Width:
a = 50 mm
Thickness:
th = 50 mm


Analysis Specifications

Young Modulus (material):
E = 70 GPa

Poisson's Ratio (material):
ν = 0.346

Mesh Specifications:
TE10 elements of 20 mm

Case 1:

  • Loads (Pressure):
    Pz = -250 000 N_m2
    on the top face of the beam.

  • Restraints (Clamp):
    Tx = Ty = Tz =  0
    on section A.

Case 2:

  • Loads (Surface force density):
    Fy = -40e+006 N_m2
    on the section B of the beam

  • Restraints (Clamp):
    Tx = Ty = Tz =  0
    on section A.
 

Results

  • Case 1: Results for bending Pz = -250 000 N_m2

     

     Entire beam

     Assembled beams

     Error [%]

    Maximum displacement
    of the beam [mm]

    -2.67

    -2.66

    0.37

    Energy [J]

    3.347

    3.333

    0.42

    Von Mises
    in the assembled zone [Mpa]

    3.2->22

    3.08->22.9

    max. 4%

     

  • Case 2: Results for compression Fy = -40e+006 N

     

     Entire beam

     Assembled beams

    Error [%]

    Maximum displacement
    of the beam [mm]

    -2.284

    -0.284

    0.00

    Energy [J]

    14.218

    14.214

    0.03

    Von Mises
    in the assembled zone [Mpa]

    40

    39.1->41.1

    max. 2.75%

 

  • Modal Analysis:

    Mode

    Entire beam

    Assembled beams

    Error [%]

    1

    164.207

    164.453

    0.15

    2

    164.242

    164.489

    0.15

    3

    984.085

    985.227

    0.12

    4

    984.257

    985.554

    0.13

    5

    1450.44

    1451.32

    0.06

    6

    2552.59

    2553.51

    0.04

    7

    2589.29

    2591.54

    0.09

    8

    2589.79

    2593.41

    0.14

    9

    4353.26

    4355.59

    0.05

    10

    4700.51

    4703.55

    0.06

To Perform the Test:

The Assembly_with_fastened_connection.CATAnalysis document presents two complete static analysis and a modal analysis. Proceed as follow:

  1. Open the CATAnalysis document.

  2. Compute the case and generate an image called Deformed Mesh.