Question

In: Mechanical Engineering

Please make sure to display your thought process? It is imperative to be able to follow...

Please make sure to display your thought process? It is imperative to be able to follow how the answer was deduced. Please be as thorough as possible. Please address all parts of this question as they are all part and critical to answering this question correctly. Please show good integrity when answering the question:

1) A sample of cross-linked natural rubber (polyisoprene) is found to have a shear modulus of 500 kPa at 25˚C. Determine the force needed to stretch a 100 mm long rod to 150 mm. Note that the original circular cross-section of the rod was 1.0 mm in diameter. What is the diameter of this rod of natural rubber while stretched to 150 mm?

Solutions

Expert Solution

Consider the Given Data,Here we need to take Poissons ratio as Given,

Now to find the Force needed to stretch the rod Consider,

Now to find the diameter of rod while stretched, Consider,

Therefore the diameter while streched will be reduced to 0.67mm.

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