B.TECH - Semester 3 mechanics of solids Question Paper 2020 (feb)
Practice authentic previous year university questions for better exam preparation.
- A bar of 20 mm diameter is tested in tension. It is observed that when a load of 37.7 kN is applied, the extension measured over a gauge length of 200 mm is 0.12 mm and contraction in diameter is 0.0036 mm . Find poission's ration and elastic constants E,G,K.
- A beam of 8 m span simply supported at its end carries loads of 2 kN and 4 kN at a distance of 3 m and 6 m respectively from right support. In addition, the beam carries a UDL of $4 \mathrm{kN} / \mathrm{m}$ for its entire length. Draw the SF and BM diagrams.
- Define the relationship between young's Modulus and modules of rigidity
- A Weight W falls a distance h before beginning to stretch a bar of length 1 and a cross-sectional area A. Derive expression for the maximum stress induced in the bar when (a) the maximum extension is negligible when compared with h .
- A Weight W falls a distance h before beginning to stretch a bar of length 1 and a cross-sectional area A. Derive expression for the maximum stress induced in the bar when (b) the maximum extension is of the same order as h .
- Define the expression for temperature stress in composite bar
- Describe the detailed procedure for drawing the mohrs' circle.
- Determine the size of the strongest wooden beam of rectangular cross section which can be cut out of a cylindrical rod of diameter d.
- Derive from first principle of the bending section, $\frac{M}{l}=\frac{\sigma_{b}}{Y}=\frac{E}{R}$. Stating the assumption made in developing the theory of simple bending.
- Derive expression for slope and deflection of a cantilever beam carrying a UDL of W kN/M. Through out the span L.
- Describe thick cylinder and spherical shells.
- Distinguish between a perfect frame and an imperfect frame. $$ (8 \times 5=40 \text { Marks }) $$ P.T.O. PART - B Answer one full question from each Module. Each question carries 20 Marks.
- Find deflection at centre of a SS beam of span 5 m subjected to UDL $10 \mathrm{kN} / \mathrm{m}$ throughout the span.
- A hollow shaft is to transmit 300 kW at 80 rpm . The shear stress is not to exceed $50 \mathrm{MN} / \mathrm{m}^{2}$ and diameter ratio is $3 / 7$. Find the external and internal diameter if the twist is $1.2^{\circ}$ and length is 2 m . Assuming maximum torque is $20 \%$ greater than mean. Take $C=...
- Find forces in each member of a truss shown below.
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