5: Three bars of varying cross section are connected to each other and is subjected to...

5: Three bars of varying cross section are connected to each other and is subjected to an axial
force of 50 kN as shown in figure. The dimensions of the two outer bars are 40 mm x 40 mm and
length of the outer bars are measured to be the same. The middle bar is having circular cross
section and the length of the middle bar is 3 times more than that of the two outer bars. Stress in
the middle portion was observed to be 180 N/mm2 and the total extension of three bars is equal to
7.534 mm. Recommend a suitable value for the diameter of the middle bar and length of all three
sections, if the modulus of elasticity of the material is 80 x 105 N/cm2?
If all the three bars are made up of the same material and having modulus of rigidity of the
material equal to 320 tonnes/cm2, what will be the changes in lateral dimensions for all three
bars? Conclude the relationship between lateral strain and longitudinal strain based on your
findings.

Expert Solution

Since the figure is not provided, Hence with the avaliable question figure is drawn and questions are solved.

Total Solution is provided in 3 Pages.

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Ally Wells answered 10 months ago

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