Question

30. A bar of 30mm diameter is subjected to an axial pull of 80KN. The measured extension
is 0.1 mm on a gauge length of 200mm and the change in diameter is 0.004mm.
calculate the Poisson's ratio and the values of young's Modulus, bulk modulus and
Modulus of rigidity.​

Answer 1

Answer:

Data: d=30 mm, L=200 mm, P =60 kN, δL=0.09 mm, δd = 0.0039 mm Calculate: μ and E

A=πd24=π×3024=706.858mm2

E=PLAδL=60×103×200706.858×0.09=188628.08N/mm2

E=1.89N/mm2

μμμ= Lateral Strain Linear Strain =(δdd)(δLL)=(0.003930)(0.09200)=0.29=0.29