Structural Analysis of Beams with Cut-Outs to Axial Loading and Bending Assignment

Assignment Task

In this assignment you will consider a box beam section. The dimension of the cross section is defined in Figure 1.

Figure 1: a) Definition of cross section, b) direction of axial and bending force, and dimension and location of circular cutout

The wall thickness is 5mm. The material of the beam is an aluminium alloy with Young's Modulus equal to E and Poisson's ratio equal to v.

Where E = Sum of first 4 numbers of your SRN (Student Registration Number),

And v. Sum of last 4 digits of SRN/100

The beam is mounted as a cantilever beam, with left-hand side constrained and the load applied at the righthand side tip of the cantilever beam with a force F.

Using the CATIA FEA module, you are to assess the difference in response of two variations in design of this beam:

• one with a circular cut-out 150 mm away from the edge
• one with a circular cut-out 300 mm away from the edge.

The position and dimension of the cut-out is defined in Figure 1. There is one cut-out, and it is in one web as shown in Figure 1.

You will in each case consider two loading conditions.

In the first loading condition is axial loading with a force F of 50kN (See Figure 1).

The second loading condition is bending where the force F acts through the geometric centre (G.C.), or centroid, of each section (see Figure 1). The magnitude of the bending force F is 5000N and acts in the direction indicated in Figure 1.

In total you will thus create four models. To this you must create these models in each case the beam has a length 1000mm.

You must discuss in detail the stresses (Von Mises and individual stress components) for these four cases, particularly:
Location(s) of high stress

Magnitude and nature (tension, compression, shear, combined) of these stresses

Displacements at relevant locations (you must decide what is those locations are)
Using these findings, you must write a short report. This report should contain a title page and three sections with the following section titles and page limits:

• Section 1: Model Description
• Section 2: Model Results 
• Section 3: Discussion 

In Section 1 you should describe the models you built. This includes clear descriptions of the geometry, the finite element mesh, element type and size, boundary conditions (force and displacements).
In section 2 you should describe the model results:

The stresses (Von Mises and individual stress components) in these two beams, particularly: Location(s) of high stress

• Magnitude and nature (tension, compression, shear, combined) of these stresses
• Displacements at relevant locations

In section 3 you should discuss the observations made in section 2. Do you observe any difference between the two beams? What is the effect of the hole on the stresses?

Explain your findings and explain how this may be relevant if this is part of an aerospace structure.

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