2. For a shaft with a very narrow elliptical cross section with major and minor semi axes ratio \frac{2a}{2b} = 10, calculate values $k$, $k_1$ and $k_2$ that will show up in the following equations after using the approximation $a^2 + b^2 \approx a^2$
$J = k_1(2b)^3(2a)$,
$T = Gak_1(2b)^3(2a)$,
$\tau_{max} = \frac{T}{k_2(2a)(2b)^2}$,
$\tau_{max} = 2Gabk$.
Compare these values with those you can find for a thin rectangular plate with same aspect ratio, i.e. $\frac{2a}{2b} = 10$. You can use Boresi and Schmidt's Advanced Mechanics of Materials for this comparison but note the difference in notation.