MEC2402 - Stress Analysis Assignment

Assignment Task

Your submission for this report consists of two files: for Question 1, an mp4 video file with a maximum size of 50 MB and 3 minutes duration, and for Question 2, a pdf with a maximum size of 20 MB and 5 pages inclusive of any references and appendices for which you are seeking marks, each containing your own work. Note that any material beyond 3 minutes (Question 1) and 5 pages (Question 2) will not be considered in the marking process.

You must preserve relevant materials (electronic or hardcopy form) you develop and use during the process of completing this report because any student in this course may be subject to random intellectual property checks in which student(s) must discuss and demonstrate their reported work.

Question

1. Recorded presentation 

The year is 2025 and you have successfully passed MEC2402 Stress Analysis! A friend of yours is now taking a similar subject and has asked for your help to understand the topic of shear stress in solid circular bars in pure torsional loading. You are required to prepare and record a short presentation, maximum of 3 minutes duration, to help educate your friend on these topics. Your friend has asked for a presentation that: (a) provides an overview of how you can develop the expression t_max = Tc/j commencing with the principles of shear stress and strain; and (b) illustrates the application of this expression. For part (b), I (David Buttsworth) require you to present the solution of a relevant even-numbered tutorial problem from the set I have provided. Your recorded presentation should include a talking head inset of you. The video record must enable identification of you as the same person in the photo ID that was submitted in Question 1 of Report 1. Note that you are restricted to a maximum of 3 minutes duration for the video and the video file size must be X MB or less.

2. Analysis of gymnastic bar bending

The image below (sourced from YouTube as indicated) is from the 2016 Olympic final for the men’s horizontal bar. video “horizontal_bar_video_segment.mp4” – is included in the Report 2 folder and it shows some of the routine performed by Fabian Hambuchen from Germany who was the Gold medal winner in this event. The horizontal bar is highly loaded on a number of occasions during his routine, and several still frames named “extract00xx.jpg” are also included in the Report 2 folder; these frames are extracted from the video record just prior to the end of his routine.

(a) Using the frame in “extract0011.jpg”, identify the edges of the bar in the region where the bar is being loaded by this competitor - analyse the region of the bar approximately 5 bar diameters on either side of each of his hands. Using the specifications described in horizontal_bar_specs.pdf”, identify a scaling factor for the image: e.g., Y mm or pixels on the image corresponds to Z mm in reality. Using a suitable mathematical or graphical approach, identify the radius of curvature of the bar in the vicinity of the competitor’s hands.

(b) Using the radius of curvature defined in part (a) and the bar diameter specified in “horizontal_bar_specs.pdf”, determine the maximum strain due to bending in the bar.

(c) Assuming the bar is made from stainless steel, as suggested in “horizontal _bar_specs.pdf”, and taking E = 190 GPa for stainless steel, calculate the maximum stress due to bending in the bar. 

(d) Discuss your analysis and the result you have obtained in part (c) within the context of typical yield strength values for stainless steel.

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