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JNTU B.Tech II MECHANICS OF SOLIDS AND MECHANICS OF FLUIDS Previous Question Paper (November/December - 2017 - R16)

B.Tech | II | II-I | R16 | November/December - 2017

Answer PaperPaper Code: 133BFMaximum Marks: 75Time: 3 Hours

Note: This question paper contains two parts A and B. Part A is compulsory which carries 25 marks. Answer all questions in Part A. Part B consists of 5 Units. Answer any one full question from each unit. Each question carries 10 marks and may have a, b, c as sub questions.

Part A

1a

Define Resilience.

2 marks

Answer

Resilience is defined as the capacity of a material to absorb energy when it is deformed elastically and then, upon unloading, to have this energy recovered. It is quantified by the modulus of resilience, which represents the maximum strain energy per unit volume that can be stored in a material without undergoing permanent (plastic) deformation.

1b

State Hook’s law and draw stress-strain curve for mild steel material.

3 marks

Answer

Hooke's Law states that within the limit of proportionality, the stress applied to a material is directly proportional to the strain produced in it. Mathematically, this is expressed as:

σ = E × ε

where σ is the stress, ε is the strain, and E is the Young's modulus of elasticity. The stress-strain curve for mild steel is characterized by several distinct regions: the proportional limit, the elastic limit, the upper and lower yield points, the strain hardening region, and the ultimate tensile strength point, ending at the fracture point. The curve begins with a linear elastic portion, followed by a yield plateau where strain increases with little to no increase in stress, then a region of strain hardening where the material regains strength, and finally a necking region leading to failure.

1c

Classify the various types of beams.

2 marks

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1d

Write four basic assumptions based on theory of simple bending.

3 marks

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1e

How can you define a term “Torsion”?

2 marks

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1f

What is moment of resistance ?

3 marks

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1g

State Newton’s law of viscosity.

2 marks

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1h

What do you mean by specific weight and specific gravity?

3 marks

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1i

Differentiate path line from a streak line.

2 marks

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1j

Write the statement of Bernoulli’s theorem.

3 marks

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Part B

210 marks
a

Explain the theory of Elasticity and Plasticity with stress, strain curve.

5 marks

Answer

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b

A steel bar of 15mm in diameter is pulled axially by a force of 10kN. If the bar is 250mm long, calculate the strain energy stored per unit volume of the bar and the total strain energy stored by the bar. Take E = 2×105 N/mm2.

5 marks

Answer

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OR
310 marks
a

What is Elastic modulus and what is its effect on engineering materials?

5 marks

Answer

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b

A surveyors steel tape 30m long has a cross section of 15mm × 0.75mm with this, line AB is measured as 150m. If force applied during measurement is 100 N more than the force applied at the time of calibration, what is the actual length of the line? Take modulus of the elasticity for steel as 200 kN/mm2.

5 marks

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410 marks
a

Draw the shear force diagram and bending moment diagram for a overhanging beam acting subjected to uniformly varying load.

5 marks

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b

A steel plate is bent into a circular arc of radius 10meters. If the plate section be 120mm wide and 20mm thick, find maximum stress induced and the bending moment which can produce this stress. Take E = 2×105 N/mm2.

5 marks

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OR
510 marks
a

Write about section modulus of suitable sections in brief.

5 marks

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b

Describe the bending equation and mention the assumptions made.

5 marks

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610 marks
a

Explain the concept of polar section modulus.

5 marks

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b

Two shafts of the same material are subjected to the same torque. If the first shaft is of the solid circular section and the second shaft is of the hollow section whose internal diameter is 2/3 of the outside diameter, compare the weights of the two shafts.

5 marks

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OR
710 marks
a

Write in detail about Torsional moment of resistance.

5 marks

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b

A 250mm long brass rod AB and a 300mm long aluminum rod BC are bonded together and both rods 15mm in diameter. The compound rod is fixed at A and a torque of 50 Nm is applied at the end C. Find the angle of twist at B and C.

5 marks

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810 marks
a

Explain inverted manometers with a sketch.

5 marks

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b

A spherical water drop of 1mm in diameter splits up in the air into 64 smaller drops of equal size. Find the work required in splitting up the drop. The surface tension coefficient of water in air = 0.073N/m.

5 marks

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OR
910 marks
a

Write Archimedes principle and explain Meta centre in buoyancy.

5 marks

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b

What is the pressure within 1mm diameter spherical droplet of water relative to the atmospheric pressure outside? Assume σ for pure water to be 0.073 N/m.

5 marks

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1010 marks
a

Distinguish between fluid statics, kinematics and Dynamics.

5 marks

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b

Prove the statement of momentum equation and derive it.

5 marks

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OR
1110 marks
a

Write and explain the type of fluid flows with suitable sketches.

5 marks

Answer

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b

Derive Bernoulli’s equation from Euler’s equation.

5 marks

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This page contains the solved question paper with answers of MECHANICS OF SOLIDS AND MECHANICS OF FLUIDS from JNTU for B.Tech MME-MMT II II-I, November/December - 2017, R16.

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