PLEASE ANSWER IN PAPER Three structures with rectangular cross-sections (thickne

Question

PLEASE ANSWER IN PAPER

Three structures with rectangular cross-sections (thickness = 10 cms), with the same heights and widths, are subject to loads in compression of 100 kN applied top and bottom at the middle of their widths, as shown in the figure. Even though all of them have the same cross-section areas, the distribution of material in the center is different. Without doing any calculation, state briefly which structure would have a higher stress than the other 2 and explain why 7 points. Calculate the stress in all structures and calculate the ratio of the maximum to minimum stress. 8 points.

Explanation / Answer

a) Structure 3 would be having higher stress when compared to other two structures because the 3rd section is uniform and moreover moment of inertia is also less. So it will be experincing greater stress when compared to other two sections. In this case we need to consider the buckling of three sections

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