Revisica
Sign in
ENGR5004 / Week 2
Statics Session 3 Example 1TutorialCurrent specThird5 min

ENGR5004 Statics session 3 worked example 1 (slide 5) official answers

A 500 mm long, 16 mm diameter rod made of a homogeneous isotropic material is subjected to an axial tensile load of 12 kN. Its length increases by 300 μ\mum and its diameter decreases by 2.4 μ\mum.

Determine the modulus of elasticity EE and Poisson's ratio ν\nu of the material.

Rod of length L = 500 mm and diameter d = 16 mm fixed to a wall, pulled along x by 12 kN; delta_x = 300 micrometres, delta_y = -2.4 micrometres.
Rod of length L = 500 mm and diameter d = 16 mm fixed to a wall, pulled along x by 12 kN; delta_x = 300 micrometres, delta_y = -2.4 micrometres.
Formulas you may need
  • Normal stress σx=P/A\sigma_x = P/A, circle A=πd2/4A = \pi d^2/4 (learn this; circle area on the formula sheet)
  • Normal strain ϵ=δ/L\epsilon = \delta/L, Hooke's law σ=Eϵ\sigma = E\epsilon (learn this)
  • Poisson's ratio ν=−ϵyϵx\nu = -\dfrac{\epsilon_y}{\epsilon_x} (uniaxial load along xx) (learn this)