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JNTU B.Tech III THEORY OF STRUCTURES Previous Question Paper (April - 2018 - R15)

B.Tech | III | III-II | R15 | April - 2018

Answer PaperPaper Code: 126WTMaximum Marks: 75Time: 3 hours

This question paper contains two parts A and B. Part A is compulsory. Part B consists of 5 Units. Answer any one full question from each unit.

Part A

125 marks
a

Which shell is more efficient in resisting pressure – the cylindrical or the spherical shell? Why?

2 marks

Answer

A spherical shell is more efficient than a cylindrical shell. This is because the hoop stress in a spherical shell is half that of a cylindrical shell for the same internal pressure, diameter, and wall thickness, allowing it to withstand higher pressures with less material.

b

Distinguish between circumferential stress and longitudinal stress in a cylindrical shell when subjected to an internal pressure.

3 marks

Answer

Circumferential stress (hoop stress) acts along the circumference of the shell, tending to split it longitudinally, and is twice the magnitude of longitudinal stress, which acts along the axis of the shell, tending to pull the ends apart.

c

How does the shear span influence the mode of shear failure?

2 marks

Answer

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d

Under what circumstances are doubly reinforced beams resorted to?

3 marks

Answer

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e

The provision of a minimum stirrup reinforcement is mandatory in all reinforced concrete beams. Why?

2 marks

Answer

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f

Define ‘development length’. What is its significance?

3 marks

Answer

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g

What is the function of providing distribution steel in a slab?

2 marks

Answer

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h

What are the types of two-way slabs?

3 marks

Answer

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i

What is meant by slenderness ratio of a compression member?

2 marks

Answer

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j

What is the purpose of shear key and its action?

3 marks

Answer

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Part B

210 marks
a

Explain the difference in the behaviour of thin and thick cylindrical shells.

5 marks

Answer

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b

Show that in the case of a thin cylindrical shell subjected to an internal fluid pressure, the tendency to burst lengthwise is twice as great as in a transverse section.

5 marks

Answer

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OR
310 marks
a

Derive a formula for the hoop stress in a thin spherical shell subjected to an internal pressure.

5 marks

Answer

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b

Write the relations for the hoop stress in a thick spherical shell.

5 marks

Answer

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410 marks
a

What are the assumptions in the theory of design of doubly reinforced beam regarding the role of compression steel?

5 marks

Answer

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b

Determine the ultimate moment capacity of a doubly reinforced beam with b=350 mm, dꞌ=60 mm, d=550 mm, Asc=1690 mm2, Ast=4310 mm2, fck=30 MPa and fy=415 MPa.

5 marks

Answer

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OR
510 marks
a

Explain the necessity for specifying the maximum and minimum tension steel in reinforced beams.

5 marks

Answer

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b

Explain the terms ‘balanced’, ‘over reinforced’ and ‘under reinforced’ sections in bending. Explain which of these should be recommended in design. How is this ensured in design of beams according to IS 456?

5 marks

Answer

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610 marks
a

Reinforced concrete slabs are generally safe in shear and do not require shear reinforcement. Why?

3 marks

Answer

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b

An RCC beam 250 mm × 500 mm has a clear span of 5.5m. The beam has 2-20mm diameter bars going into the support. Factored shear force is 140 kN. Check for the development length if concrete mix and steel to be used in construction are of grades M25 and Fe415 respectively.

7 marks

Answer

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OR
710 marks
a

An RCC beam 250 mm × 400 mm has a clear span of 4m and carrying uniformly distributed load of 16 kN/m. The beam has 4-22mm diameter bars. Factored shear force is 140 kN. Design the shear reinforcement. Use Concrete of M20 grade and plain mild steel bars.

7 marks

Answer

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b

What is a ‘theoretical bar cut-off point’? Why does the IS code disallow curtailment of flexural tension reinforcement at this point?

3 marks

Answer

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810 marks
a

Explain the concept underlying the Rankine-Grashoff theory as applied to uniformly loaded and simply supported rectangular two-way slabs.

5 marks

Answer

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b

Design a reinforced concrete spiral column of 390mm diameter subjected to an axial factored load of 1750 kN. The column is braced against the side sway and has unsupported length of 3.3 m. The concrete mix and steel to be used in construction are of grades M25 and Fe415 respectively.

5 marks

Answer

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OR
910 marks
a

What are the assumptions underlying the Code moment coefficients for the two-way ‘restrained’ slabs?

5 marks

Answer

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b

Explain briefly the IS code method of designing the two way slab.

5 marks

Answer

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1010 marks
a

Explain the conditions for stability of retaining walls.

5 marks

Answer

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b

Mention various types of foundations and their suitability.

5 marks

Answer

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OR
1110 marks
a

List the design steps for Isolated rectangular footing.

5 marks

Answer

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b

Using Janssen’s theory, derive an expression for horizontal pressure at any depth ‘h’ below the top in a silo. Also derive the expression for total vertical load of the grain transferred to the walls.

5 marks

Answer

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