JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD B.Tech II MECHANICS OF SOLIDS AND MECHANICS OF FLUIDS Previous Question Paper (April/May - 2018 - R16)

Discuss the factor of safety.

Explain the stress strain diagram for brittle materials.

State the assumptions made in the simple theory of bending.

Describe different types of beams.

Write a short note on theory of torsion.

Discuss the effect of polar modulus on the shear stress.

State the Pascal’s law and explain its importance in fluid flows.

Calculate the specific weight, density and specific gravity of one-liter liquid which weighs 7N.

State the Navier Stokes equation.

Describe the surface and body forces.

Discuss the mechanical properties of the materials.

A 25mm diameter aluminum alloy rod is subjected to a tensile load of 145kN. Calculate stress strain and deformation of the bar if the modulus of elasticity and length of the bar are 72 GPa and 350 mm respectively.

Illustrate the stress strain diagram for the mild steel and label all salient points.

Determine the Poisson’s ratio and bulk modulus of a material for which the Young’s modulus is 1.23×10⁵ N/mm² and modulus of rigidity is 4.25×10⁴ N/mm².

A beam AB of length 4m is simply-supported at A and B. It carries a 12.25 kN concentrated load at C, 1.3 m from A, and a uniformly distributed load of 6.75 kN/m over the remainder of the beam. Construct the S.F. and B.M. diagrams and calculate the value of the maximum B.M.

From the basic fundamentals, Formulate the bending equation of a beam

A cantilever beam AB, 2.5 m long is rigidly built in at A and carries vertical concentrated loads of 8 kN at B and 12 kN at C, 1 m from A and uniformly distributed load of 3kN/m for a span of 0.75m from the fixed end. Draw S.F. and B.M. diagrams for the beam.

Develop an expression for the maximum bending moment of a simply supported beam of span L subjected to UDL of w over entire span.

Develop an expression for the angle of twist of a tapered shaft subjected to torque T.

The power transmitted by the motor shaft at 4000rpm is 30kW. Determine the diameter of the shaft if allowable shear stress in the shaft materials is 400MPa.

Formulate an expression for the torque transmitted by a hallow circular shaft of internal diameter D_i and external diameter D_o.

A hollow shaft and a solid shaft has same material, same length, same outer radius R, and r_i = 0.6R for the hollow shaft. Determine strength to weight ratio of the shafts.

Describe the Newton’s law of viscosity.

A U-tube is made up of two capillaries of diameters 1.0 mm and 1.5mm respectively. The U tube is kept vertically and partially filled with water of surface tension 0.0075kg/m and zero contact angles. Calculate the difference in the level of the menisci caused by the capillarity.

Explain the vapour pressure and cavitation.

When a flat plate of 0.1 m² area is pulled at a constant velocity of 30cm/sec parallel to another stationary plate located at a distance 0.01 cm from it and the space in between is filled with a fluid of dynamic viscosity 0.001 Ns/m², calculate the force required to be applied.

A two-dimensional flow field has velocities along the x and y directions given by u = x²t and v = – 2xyt respectively, where t is time. Determine the equation of streamlines.

Distinguish between the steady and unsteady flows.

The components of velocity in a two-dimensional frictionless incompressible flow are u = t² + 3y and v = 3t + 3x. Calculate the approximate resultant total acceleration at the point (3, 2) and t = 2.

Discuss the Bernoulli’s equation used in the fluid flows.