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

1.)

structure 1 < structure 2 < structure 3

as we can see that the stress will be distributed in different bars of cross section in each structure.

the stress in those bars will be in that order. Structure 2 bars will have 2*stress compared to structure 1 bar.

Structure 3 thinner bar will undergo even higher stress as it has to balance the cross section too.

3.) They will be in ratio 1:2:4

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