AMS 2011 previous year questions (Advanced Mechanics of Solids )

B.Tech (ME) 2011  Advanced Mechanics of Solids  (AMS) Previous year questions

Q.1 Compute the largest value of radial and hoop stress for a rotating disc of internal diameter 150mm and external diameter 300mm. The disc is rotating at 1500 rpm. for the disc material, density ρ = 7000 kg/m3 and v=0.3

Q.2 Prove that thickness of a disc of uniform strength is given by
$\mathrm{ \; t} = t_0 exp\left[\frac{-\rho w^2{r}^2}{2\sigma }\right]$
      Where t₀ is the thickness at r = 0

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Advanced Machanics of Solids previous year questions - MinMarks

Define shear centre and shear flow.

B.Tech, Advanced Mechanics of Solids 2011

A hook of circular section 25 mm diameter and radius of curvature of its central axis is 25 mm carries a load of 5 kN. Calculate the maximum stress in the hook.

B.Tech, Advanced Mechanics of Solids

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RTU Machenical engneering Advanced Machanics of Solids previous year questions 2012

The displacement field for a body is given by :

B.Tech, Advanced Machanics of Solids

 $$\begin{gathered} u = K(x^2+y)i+K(y+z)j+K(x^2+2z^2)K \\ Where K = {10}^3 \end{gathered}$$
At a point P(2,2,3), Cnsier two line segments PQ and PR having the following direction cosines before deformation.
$$\begin{gathered} PQ: n_{x1} = n_{y{1}_{}} = n_{z1} = \frac{1}{\sqrt{3}} \\ PR:\hspace{0.17em}{n}_{x2} = n_{y2} = \frac{1}{\sqrt{2}}, n_{z2} = 0 \end{gathered}$$
Determine the angle between the two segments before and after deformation.
2012

If the displacement field is given by.

B.Tech, Advanced Machanics of Solids

  $U_x=Kxy, U_y=Kxy, U_z=2K(x+y)z$
Where K is a constant small enough to ensure applicability of the small deformation theory.
1. Write down the stress matrix.
2. What is the strain in direction $n_x = n_y = n_z = \frac{1}{\sqrt{3}}$

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