B.TECH - Semester 3 mechanics of structures Question Paper 2020 (feb)
Practice authentic previous year university questions for better exam preparation.
- Determine the forces in all the members of the cantilever truss shown in figure below. Module - III
- An element in a stressed material has a tensile stress $500 \mathrm{MN} / \mathrm{m}^{2}$ acting as two mutually perpendicular planes and equal shear stress of $100 \mathrm{MN} / \mathrm{m}^{2}$ on these planes. Find the principal stresses and position of the principal planes and also the maximum sh...
- Define modulus of Elasticity, shear modulus and Bulk modulus. Give the relation connecting them.
- What is SED and BMD? Discuss their uses.
- Find the dimensions of the strongest rectangular section, one can cut from a circular log of diameter D.
- Explain principal planes, principal stresses and planes of maximum shear.
- Explain the terms torsional rigidity and polar modulus.
- Discuss the assumptions in the Euler column theory. P.T.O.
- Explain the principle of compound cylinders. Why they are preferred when cylinders have to with stand high internal pressure?
- Prove that the maximum stress induced in a body due to suddenly applied load is twice the stress induced when the same load is applied gradually. ( $8 \times 5=40$ Marks ) PART - B Answer one full questions from each module.
- (a) A metallic rod 10 mm is diameter is tested under axial pull of 10 kN . The diameter of the rod is reduced by 0.002 mm . Modulus of rigidity of the material of the rod is $0.5 \times 10^{5} \mathrm{~N} / \mathrm{mm}^{2}$, Find the other module. $\quad 10$
- (b) A steel rod of 30 mm diameter and 5 m long is connected to two grips and the rod is maintained at a temperature of $100^{\circ} \mathrm{C}$. Determine the stress and pull exerted when the temperature falls to $30^{\circ} \mathrm{C}$, if the ends yield by 10 mm . $E=200 \mathrm{GPa}, \alpha=12 \t...
- A beam 6 m long rests on two supports with equal overhangs on either side and carries a u.d.l. of $30 \mathrm{kN} / \mathrm{m}$ run over the entire length. Calculate the length of overhangs if the maximum bending moment is to be as small as possible. Draw the BMD and SFD indicating all salient value...
- (a) Derive the formula $\frac{T}{J}=\frac{N \theta}{L}=\frac{f_{s}}{R}$. Sketch the shear stress distribution in a rod subjected to torsion.
- (b) A close coiled helical spring of circular section having a mean coil diameter 60 mm is subjected to an axial load of 80 N applied at the end of spring producing a shear stress of $100 \mathrm{~N} / \mathrm{mm}^{2}$ and deflection of 50 mm . Find the diameter of the spring wire the length of the ...
- (a) A uniform metal bar has a cross sectional area of $700 \mathrm{~mm}^{2}$ and a length 1.5 m with an elastic limit of $160 \mathrm{~N} / \mathrm{mm}^{2}$, What is its proof resilience? Find also the maximum value of an applied load which may be suddenly applied without exceeding elastic limit $E=...
- (b) A masonry retaining wall of trapezoidal section is 7.5 m high, 1.75 m wide at the top and 4 m wide at the bottom. The earthface of the wall is vertical. The soil is level with the top of the wall. Unit weight of soil $=16.5 \mathrm{kN} / \mathrm{m}^{3}$ and unit weight of masonry is $22.5 \mathr...
Browse Previous Year Question Papers →