A uniaxial steel bar is initially 250mm in length with a square cross-section of 50mm x 50mm. The modulus of elasticity is 200 GPa and a poisson's ratio is 0.32 Determine the change in dimensions of the bar when carrying tensile load of 600kn.
Consider the same plate as in the previous question: a square plate of L=1
m side attached to a torsionnal spring of stiffness 10Nm/rad. The mass of the plate is M=1
Kg. Now the air flow is coming from the left at 10m/s. What is the eigenfrequency (Hz) of this oscillator
Consider a discrete fluid-solid mechanical system (for instance a wing profile with two degrees of freedom). Solutions of the form V
⃗
e
λt
are looked for, V
⃗
being a two components vector. On the figure below the real and imaginary parts of λ
are plotted as function of the Cauchy number. Give an estimate of the critical value of the Cauchy number at which an instability occurs.