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Homework answers / question archive / Abaqus Homework Help | Abaqus Assignment Help Project 1: Structural responses of an arbitrary wire  Problem specification  A wire shape is to be manufactured from the provided length of drawn wire, an example of a bent wire is shown in Figure 1

Abaqus Homework Help | Abaqus Assignment Help Project 1: Structural responses of an arbitrary wire  Problem specification  A wire shape is to be manufactured from the provided length of drawn wire, an example of a bent wire is shown in Figure 1

Mechanical Engineering

Abaqus Homework Help | Abaqus Assignment Help

Project 1: Structural responses of an arbitrary wire 
Problem specification 
A wire shape is to be manufactured from the provided length of drawn wire, an example of a bent wire is shown in Figure 1. The structure should then be used to experimentally solve a force-displacement problem, followed by the calculation of the natural modes of vibration of the structure (with one fixed-support). Note that you should create a bent wire containing 3 hoops.  
Analytical and numerical (Finite Element) calculations for the force-displacement and vibration problems should be presented. 
An analysis and discussion of the results should be given with particular focus on any differences between approaches and a discussion of the accuracy of the results due to assumptions associated with each method. 

Figure 1 Example piece of bent wire containing 2 hoops. 
these assumptions relate to your problem? 
c. Calculate Young's modulus of the material. You know the moments of inertia from geometry, you can calculate the displacement under a known load, and then solve for 'E' (this is much easier to calculate with a straight piece of wire!). 
2. Bend the wire into a unique shape, consisting of only straight sections (i.e., no curves). Full marks cannot be awarded for simple shapes. As a rule you should bend the wire so it has 3 hoops. No two students should have exactly the same wire shape. 
You should experimentally determine the following (for the bent wire): 
a. The displacement of the structure when your structure is clamped at one end (fixed boundary conditions) and loaded at the opposite end with a known load. 
b. Vibration frequency of the first mode of vibration of: i. Just the wire, and ii. Wire with a concentrated mass attached 
3. Using ABAQUS solve the following problems numerically (for the bent wire): 
a. Vibration frequency of the first mode of vibration of: i. Just the wire, and ii. Wire with a concentrated mass attached 
b. Displacement of the structure when loaded at the opposite end with a known load. 
4. Using your brain and a pen, solve the following problems analytically (for the bent wire): 
a. Vibration frequency of the first mode (ball-park figure required only) of: i. Just the wire, and ii. Wire with a concentrated mass attached 
b. Displacement of the structure when loaded at the opposite end with a known load (exact solution or ball-park answer can be provided. It will be marked accordingly). 
 

7. Be efficient by solving your analytical equations by hand with pen and paper. For longer calculations you can scan your workings and attach to the end of your report as an appendix (remember there is a page limit!). However, all calculations must be legible. If I cannot read your work, I cannot award any marks. Do not attach a photograph of hand-written equations. 8. Present your ideas and solutions logically and clearly. 9. You do not need to book the lab! (Don't laugh, people have done it before). Everything can, and should be, done at home with your own equipment. 
 

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