GATE Aerospace Engineering Practice Quiz

Question 1

For an isotropic linear elastic material under uniaxial stress state with only $\sigma_x \neq 0$, the lateral strain in the $y$-direction is

Accepted Answer

$\varepsilon_y = -\nu \sigma_x/E$

Question 2

For an isotropic linear elastic material, the shear stress-shear strain relation in simple shear is

Accepted Answer

$\tau = G\gamma$

Question 3

For an isotropic linear elastic material, the compliance matrix in 3D is physically admissible only if Poisson’s ratio satisfies

Accepted Answer

$-1 < \nu < 0.5$

Question 4

An isotropic material is subjected to stresses $\sigma_x=100$ MPa, $\sigma_y=50$ MPa, $\sigma_z=0$, with $E=200$ GPa and $\nu=0.25$. The strain $\varepsilon_x$ is

Accepted Answer

$4.375\times10^{-4}$

Question 5

A material has $E=210$ GPa and $\nu=0.30$. Its bulk modulus is

Accepted Answer

175 GPa

GATE Aerospace Engineering

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