B.TECH - Semester 3 mechanics of solids Question Paper 2021 (may)
Practice authentic previous year university questions for better exam preparation.
Sample Questions
- 304 : MECHANICS OF SOLIDS (MPUS) Time: 3 Hours Max. Marks : 100 Instruction : Answer all questions from parl A and answer any one full question from each Module in part B. Answer all questions. Each question carries 5 Marks.
- Determine the poisson's ratio and bulk modules of a material for which young's modules is $1.2 \times 10^{5} \mathrm{~N} / \mathrm{mm}^{2}$ and modules of rigidity is $4.8 \times 10^{4} \mathrm{~N} / \mathrm{mm}^{2}$.
- Describe the concept of Lemperalure stress.
- Explain plane stress and plane strain problems with suitable example.
- Derive the relationship between shear force and bearing moment,
- Oblain an empirical relationship lor slope and delection of a 'L' span ss beam carrying UDL of W KN/m throughout ils length.
- Describe the expression for equivalent stiffness when two springs are connected in (i) serious and (ii) parallel
- What are the assumptions made in torsion equalion?
- Why hollow circular shapes are preferred when compared to solid circular shafis? $$ (8 \times 5=40 \text { Marks }) $$ Answer one full question from each Module. Each question carries 20 Marks:
- (a) Derive an expression for volumetric strain of a thin a cylinder of diameler ' $d$ ' and wall thickness ' 1 ' subjected to an Internal pressure ' $p$ '.
- (b) A reclangular bar of cross section $30 \mathrm{~mm} \times 60 \mathrm{~mm}$ and length 200 mm is restrained from expansion along its $30 \mathrm{~mm} \times 200 \mathrm{~mm}$ sides by surrounding material. Find the change in dimension and volume ...
- (a) Write an expression for the change in volume of a thin cylindrical shell subjected to internal fluid pressure.
- (b) A bar of 20 mm diameler is lesled in tension. It is observed that when a load of 40 KN is applied, the exlension measured over a gauge length of 200 mm is 0.12 mm and contraction in diametor is 0.0036 mm . Find poission's ratio and Elastic consla...
- A cantilever beam 1.5 meter long, fixed al A is carrying point loads of 1000 kg al B, C and D each and at distances of 0.5 meter, 1.0 meler and 1.5 meler from the fixed end. Calculate the shear force and bending moments at salient points,
- A Simply supported beam AB of span 4 meters is subjected to two point loads of 2 kN each at C and D , dislances of 1.5 m and 3 m from the left end. Calculate the shear force and bending moment values at salient points.
- A Solid shaf is subjected to a torque of $1.5 \mathrm{kN}-\mathrm{m}$. Find the necessary diameler of the shaft, if the allowable shear stress is 55 Mpa . The allowable twist is $1^{\circ}$ for every 20 diameters length of the shaff. Take $\mathrm{C}...
- Derive expression for Euler's column load for a calumn lixed al bolh ends and subjected to an axial force of P Length of column is $\mathrm{L}_{\text {, }}$ (20) $$ \text { ( } 3 \times 20=60 \text { Marks }) $$