B.TECH - Semester 3 mechanics of structures Question Paper 2020 (feb)
Practice authentic previous year university questions for better exam preparation.
Sample Questions
- 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. $\...
- (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 ...
- 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 positi...
- 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....
- Determine the forces in all the members of the cantilever truss shown in figure below. Module - III
- (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 ...
- (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 su...
- (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{...