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  3. 4 2 marks consider a rectangular hollow beam fixed rigidly...

Question: 4 2 marks consider a rectangular hollow beam fixed rigidly...

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4. (2 marks) Consider a rectangular hollow beam fixed rigidly at one end and subjected to a load P of 3 kN at the other end, as shown in the figure below. All necessary dimensions are provided in the figure. The beam is made of ASTM-A36 structural steel with a yield strength of 250 MPa and Youngs modulus of 200 GPa. Assume that the loading is elastic. Determine the maximum stress and the factor of safety against yielding. In your analysis, do obtain the transverse shear stress component, and assess its relevance for maximum stress determination. -15 Weight per length 130 Nm 100 mm NA. P-3kN Notes: Transverse shear stress, r, is given by 92 where the integral is designated as first moment of area, Q. For a rectangular solid section, Ois expressed as: where h and b are height and width of the rectangular cross-section respectively, and y is an arbitrary height from the neutral axis. Note that Qma corresponds to y-0. Also, coresponds to Qa.
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