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

because if the tool that you are using is not balanced it there would be false mass.