University : University of Southern Queensland UniLearnO is not sponsored or endorsed by this college or university.
Subject Code : MEC2402
Assignment Task:

TASK:

Question 1:

Beam Bending Experiment (150 marks) Overview For your response to this question, you must develop your own bending experiment that involves either a cantilever arrangement or a three-point bending configuration. You must thoroughly document and analyse the experiment including a detailed analysis of the stress and deflections associated with the loading on the beam. To simplify the analysis, it is recommended that you consider a beam that has a symmetric cross section in this question (Question 1); in Question 2 you will treat the more complicated case of asymmetric bending. Operating Limits The arrangement of your bending experiment should be such that easily measurable deflections (of at least several millimetres but no more than 100 mm) can be achieved for relatively low loads (of no more than 1 kg in mass), and your beam should be of a ductile metallic material. Safety If the mass used to load the beam is ???? and gravitational acceleration is ???? and the vertical deflection of the beam at the point of loading is ?, then conservation of energy principles dictate that the elastic energy stored in the beam will be given by ???? = 1 2 ????????? In the case where an experimental configuration uses the specified maximum values of ???? = 1 kg and ? = 100 mm, and ???? is taken as ≈ 9.8 m/s2, the maximum allowable stored elastic energy is around 0.5 Joule. This is a relatively small quantity of energy, but it might still represent some danger if that energy was somehow focussed into a light-weight, sharp-edged object that accelerated and hit someone’s eye of another part of their body. Another source of danger, that is perhaps more significance and that should be considered is the mass (maximum of 1 kg) that might fall from the beam. A mass of 1 kg falling through a distance of perhaps 1 m to the floor will impact with an energy of 10 Joule, and if such an impact was absorbed by your big toe or some other part of your body, a significant injury may be sustained.

Tasks (a)

The requirements for modest loading and a ductile beam material are imposed so that it is unlikely the stored elastic energy in the beam will cause injury in the case of sudden load slippage or failure of the support structures, or rupture of the beam. Under these conditions, the potential for injury or property damage should be low, however, you must still take care in establishing and using your experimental configuration. Discuss, using illustrations as appropriate, the hazards associated with establishing and performing your experiment. That is, describe the things that might go wrong, and describe the types of injury or property damage that might occur if something does go wrong. Also describe the strategies you have adopted to ensure that risk of injury or property damage is essentially eliminated. Present a photograph of the experimental apparatus that you have personally developed and include your student photo-ID clearly in your response to this part to demonstrate that you, the person enrolled in MEC2402, are personally providing the requested responses in this assignment. Note that while your response to this part of the question draws the maximum awarded marks as indicated, designing and performing an appropriately safe experiment is a critical part of this assignment. It is essential that you complete this part of the question satisfactorily. The remainder of the assignment will only be marked if you present an adequate response in this task. [20 marks]

(b) Produce a simplified sketch of the beam arrangement with appropriate dimensions that illustrate the magnitude, position and direction of the load and the support reactions. Describe the methods and assumptions that you are using to define sizes and distances plus the magnitude of the load (the applied force) and any assumptions that have been made in defining these quantities. Describe the degree to which your beam support(s) approximate the idealised built-in (fixed) end arrangement in the case of a cantilever beam arrangement or the idealised simply-supported arrangement in the case of a 3-point beam bending arrangement. [10 marks]

(c) Produce a sketch of the cross section of the beam that defines its overall geometry and dimensions, including section thicknesses as appropriate. Describe the methods you have used to define the section geometry, including discussion of assumptions/analysis; identify if your beam is a standard section, or if it is produced as a bespoke section. Present your calculations of the principal second moments of area for the section, and describe the methods that you have used to verify the accuracy of your calculations. Note that even if your beam has a standard section for which you can look up section properties, you can use these section properties as a cross-reference, but you are still required to present your own working and calculations. [10 marks]

(d) Identify the location, magnitude and direction of the maximum bending moment within the beam.

 

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  • Posted on : June 15th, 2019
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