Acylindrical specimen of some metal alloy having an elastic modulus of 123 gpa and an original cross-sectional diameter of 3.3 mm will experience only elastic deformation when a tensile load of 2340 n is applied. calculate the maximum length of the specimen before deformation if the maximum allowable elongation is 0.45 mm.

maximum length of the specimen before deformation = 200 mm

Explanation:

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If we have a cylinder with length L₀ , and it is elasticaly deformed ΔL (so the final length is L₀ + ΔL), the strain is defined as:

And the tensile stress is:

Elastic modulus E is defined as:

In this case ΔL = 0.45 mm and we must find maximum L₀. We know that A=π*r², r=(3.3/2) mm. Then:

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