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Elastic Deformation: Working with strain and stress using a spider and its thread.

A 1.0x10^-3 kg spider is hanging vertically by a thread that has a Young's modulus of 4.5x10^9 N/m^2 and a radius of 13x 10^-6. Suppose that a 95 kg person is hanging vertically on an aluminum wire. What is the radius of the wire that would exhibit the same strain as the spider's thread, when the thread is stressed by the full weight of the spider?

Solution Preview

Stress= Force/Area
For the spider
r= 0.000013 m
Area=pi r^2= 5.30929E-10
Force=1*10^-3*9.81 0.00981 N
Stress= 18477041.32 N/m^2
Young's ...

Solution Summary

Calculates the radius of the wire that would exhibit the same strain as the spider's thread, when the thread is stressed by the full weight of the spider.

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