MEC2402 - Stress Analysis - Torsion Test Analysis - Engineering Assignment Help

Assignment Task

Question 1: Torsion test analysis 
Review the video record of the torsion test within the Assignment 2 folder: “torsion_test.mp4”. For this experiment, an aluminium solid round bar is clamped at one end and loaded in torsion at the other end. The loaded end of the bar is constrained with a roller bearing so that no vertical deflection of the bar occurs. Torque is applied through a load cell at the end of a lever arm and the angle of twist is determined from the measured linear displacement of the end of the lever arm.
(a) Calculate the value of J for the section.
(b) Plot the data available from the video showing the relationship between the torque (on the vertical axis) and the angle of twist (on the horizontal axis). By adopting this axis arrangement, you achieve a plot that is analogous to the load-displacement diagram conventionally presenting tension test result. [10 marks]
(c) On the plot produced for part (b), also include a line representing the theoretical result from Module 4 based on the geometry and relevant material properties for the aluminium shaft. 
(d) Discuss the comparison between the experimental results (part b) and the theoretical results (part c) and identify possible reasons for any differences you observe.
(e) Calculate the maximum value of shear stress which would have been acting within the circular bar when the highest load was applied. 
(f) Design a hollow shaft made from steel that has the same length and stiffness (the same angle of twist for a given torque) as the aluminium shaft, but carries a maximum value of shear stress that is 2.5 times larger than that of the aluminium shaft when the highest load is applied. Specify the outer and inner diameters of this steel shaft.

Question 2: Torsion member case study
In Question 1 you considered the torsion loading of a circular shaft in torsion. For the case study in the present question, you need to identify a non-circular component that is subjected to torsion loading. Note that the subject in this case study is unlikely to be a power-transmitting shaft, since such components are almost always circular in cross-section. However, static structural components such as beams and element that you may observe in your environment are frequently non-circular and can be subjected to some degree of torsional loading.
(a) Identify the non-circular component that you are going to treat using a torsion member analysis within this question. This component must physically exist within your home, work, or other environment such that you are at liberty to present a photograph of yourself in the foreground with this component in the background. Include photo-ID in your response to this part to demonstrate that you, the person enrolled in MEC2402, are personally providing the requested responses in this assignment. Describe in general terms, the environment and the purpose and function of this component within the environment, and the reason you have selected it for analysis. Note that while your response to this part of the question draws the maximum awarded marks as indicated, the scaling in the marking scheme is such that if you do not provide a satisfactory response here, it will severely impact your overall marks in the other elements of this question.
(b) Present your own solution to one of the even numbered tutorial questions that is relevant to the present case study you are performing. Explain how it is relevant. [10 marks]
(c) Specify the relevant cross sectional dimensions of the component. Also specify the length of the component that is subjected to the torsional load. You may find that some of the techniques developed for Assignment 1 Question 2c are also useful here. If you cannot obtain direct measurements of the actual component, then you should proceed by researching the component and application, and making reasonable assumptions as necessary. Describe all your measurement method(s) or your research with words and figures as appropriate, and cite all sources used in your research as required. Quantify the uncertainty with all of your dimensions the form of ± x mm, where x is a numerical value and justify the specified value of x.

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