A cylindrical specimen of titanium alloy has an original diameter of 3.8mm will experience only elastic?

Question

deformation when a tensile load of 2000N is applied. Compute for the maximum length of the specimen before deformation if the maximum allowable elongation is 0.42mm.

Answer 1

Assume Young’s modulus for titanium  is 110,000 N/mm2

Area of bar = 3.8^2 x PI/4 = 11.34mm2

Young’s modulus = Stress/strain

Stress is 2000N/11.34 = 176.35N/mm2

Strain is delta L / L

Delta L = 0.42mm

So 110000 = 176.35/0.42 x L

L = 110000 x 0.42/176.35 = 261.98mm