Subject Code : SEM712
Country : Australia
Assignment Task:

Task summary 
1. Experimentally measure the elastic modulus of the wire

a. Fix one end of the structure to a solid base (e.g., clamp one end to a desk). 
b. Add a known load to the wire. Small-denomination coins (eg. 2c, 5c, 10c) can be useful for this purpose. What assumptions are made when deriving the flexure formula for beams? How do 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 a minimum of 5 times. 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). 
 

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  • Posted on : April 25th, 2019
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