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ID: 1858739 • Letter: P

Question

Please find figure in this Link http://www.freeimagehosting.net/c2dq5


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The question that is with the figure is


This question requires the analysis of data presented on the link provided. For this demonstration, an unequal angle is clamped at one end and is subjected to a state of bending. Data on the section properties is provided on the link provided. Analysis of the images of the end of the beam is to be performed for comparison with the theoretical results.


In beam bending, the neutral axis defines the orientation of the plane along which direct (normal) strains (and hence, stresses) are zero. The magnitude of the direct strain increases in direct proportion to the distance from the neutral axis and hence the beam deflects in a direction perpendicular to the orientation of the neutral axis.


Required analysis tasks:


(a) Produce a sketch specifying the angle of the moment vector relative to the PCAs for the given orientation of the section and the loading.


(b) Using the specified second moments of area and the PCA orientations, determine the expected angle of the neutral axis relative to the horizontal plane and show the neutral axis on a correctly oriented sketch of the section.


(c) For the highest load, determine the magnitude and location of the expected maximum compressive and tensile stresses within the section.


(d) Analyse the photographs and tabulate values of the vertical and horizontal deflection of the end of the beam for each of the 4 loading cases. Include a description of the approach you adopted for the analysis of the images


(e) Based on your results in part (d), identify an experimentally-derived orientation for the neutral axis and compare this result with that obtained in part (b). Discuss possible sources for the differences between the two results.


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Explanation / Answer

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