B.TECH - Semester 3 mechanics of structures Question Paper 2021 (may)
Practice authentic previous year university questions for better exam preparation.
Sample Questions
- List the assumptions used in the theory of simple bending,
- Explain how principal stresses are evaluated using Morh's circle method, for a body subjected to biaxial direct stresses and shear stress.
- Derive the relation between rate of loading, shear force and bending momenl.
- Explain kern of a section and locale the kern of a circular section.
- Draw the shear stress distribution along the depth of a reclangular beam of size 200 mm wide and 350 mm deep, if the section is subjected to a shear force of 30 kN . Also find out the maximum shear stress.
- Proportion a simply supported team of unform strength having a span of 4 m subjected to a central poinl load of 10 kN by keeping a conslanl width of 100 mm ,
- Differentiate between thin and thick cylinders. List the various types of stresses in these cylinders.
- Derive the relation between torsional moment, angle of twist and shear slress for a circular shall subjected lo lorsion. $$ \{\theta \times 5=40 \text { Marks }\} $$
- (a) A 3 m long bar, circular in section is having uniorm diameler of 20 mm for a length of 1.5 m . In the next 0.5 m , its diameter gradually increases to "d mm and for the remaining 1 m , the diameler " $d$ " remains the same. When a lensile load of...
- (b) A bar made or brass and steel as shown in Fig, 1 is held between two rigid supports at A and C . Find the stress in each partion if the temperalure rises by $40^{\circ} \mathrm{C}, E_{b}=1 \times 10^{5} \mathrm{MPa}, E_{s}=2 \times 10^{5} \mathrm...
- Direct stresses of $120 \mathrm{MN} \mathrm{m}^{2}$ in tension and $90 \mathrm{MN} / \mathrm{m}^{2}$ m in compression are applied lo an elastic malerial al a certain poinl on planes al right angles lo each other. (a) If the maximum principal sliess i...
- Direct stresses of $120 \mathrm{MN} \mathrm{m}^{2}$ in tension and $90 \mathrm{MN} / \mathrm{m}^{2}$ m in compression are applied lo an elastic malerial al a certain poinl on planes al right angles lo each other. (b) In this condilion, what is the ma...
- Direct stresses of $120 \mathrm{MN} \mathrm{m}^{2}$ in tension and $90 \mathrm{MN} / \mathrm{m}^{2}$ m in compression are applied lo an elastic malerial al a certain poinl on planes al right angles lo each other. (c) Find the magnitude of the olner p...
- (a) Analyse the gin foinled frame shown in Fig. 2 and find out the member forces,
- (b) Draw the bending moment diagram and shear force diagram for the simply supported beam in Fig. 3. Figure 3 12 (a) Calculate the dimensions of the strongest reclangular seclion that can be cut out of a circular log of wood 25 cm diameter.
- (b) Also specify the sale maximum span for this beam of reclangular section for carrying a UDL of $2.5 \mathrm{kN} / \mathrm{m}$ and to limil the bending stress to $10 \mathrm{MN} / \mathrm{m}^{2} . \quad 5$
- (c) What will be the Iongest span, it the circular log ilsell is used as a beam?
- (a) A short column of hollow cylindrical section 25 cm outer diameter and 15 cm inner diameler carries a verlical load of 400 kN along one of the diameler planes 10 cm away from the axis of the column. Find the maximum and minimum inlensilies of stre...
- (b) A thick steel cylinder having internal diameter 100 mm and exlernal diameter 200 mm is subjected lo an internal pressure oi 55 MPa and external pressure of 7 MPa . Find the maximum hoop stress, OR
- (a) Find the maximum lorque that can be salely applied to a shaft of 100 mm diameter. The permissible shear stress and the allowable twist are respectively $200 \mathrm{~N} / \mathrm{mm}^{2}$ and $3^{2}$ per 10 diameter length of the shaft. Take modu...
- (b) Waler under a pressure of $8 \mathrm{~N} / \mathrm{mm}^{2}$ is suddenly admilled on a plunger of 100 mm diameler allached lo a rod of 32 mm diameler and 12 mlong . Find the maximum instanlaneous stress and deformalion of the rod. Take modulus of ...