Acylindrical specimen of some metal alloy having an elastic modulus of 102 gpa and an original cross-sectional diameter of 3.8 mm will experience only elastic deformation when a tensile load of 2440 n is applied. calculate the maximum length of the specimen before deformation if the maximum allowable elongation is 0.47 mm.

Explanation:

Given:

Elastic modulus, E = 102 GPa

Diameter, d  = 3.8mm = 0.0038 m

Applied tensile load = 2440N

Maximum allowable elongation, = 0.47mm = 0.00047

Now,

The cross-sectional area of the specimen,

substituting the values in the above equation we get

or

now

the stress (σ) is given as:

and

where,

also,

where,

thus,

or on rearranging we get,

substituting the values in the above equation we get

or

or

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