135,594 views
45 votes
45 votes
a force of 40Nis applied at the end of a wire 4m long and produces an extension of 0.24mm. if the diameter of the wire is 2.0mm. calculate the stress and strain of the wire

User Justin Vallely
by
2.9k points

1 Answer

28 votes
28 votes

Answer:

stress = 13000000 N/m or Pa

Strain = 6x10^-5

Step-by-step explanation:

Radius - d/2

Radius = 2 /2

Radius = 1 mm

Stress = F/A

stress = F / (πr^2)

Stress = 40 / (π(1 / 1000)^2)

Stress = 12732395 ≈ 13000000 N/m or Pa

Strain = Extension / Original length

Strain = (0.24 / 1000) / 4

Strain = 6x10^-5

I hope my answer helps you.

User Invrt
by
2.9k points