Amos_2012_Question Paper.pdf

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Subject Code: C1502

M.Tech - I Semester [R09] Regular/Supplementary Examinations, April - 2012

ADVANCED MECHANICS OF SOLIDS(Machine Design)

Time: 3 Hours Max Marks: 60

Answer any FIVE questions. All questions carry EQUAL marks.1. An L 6x4x0.5 angle is used as a simply supported beam, 48 m long. The beam carries a 1.0kN

load at its mid span as shown in figure. a) Determine i0the angle between the neutral axis and the

horizontal; and ii) the maximum bending stress in the beam.

2. The short column is made of a thin walled equal angle section. The principal moments of inertiaof the section are Iy=

. If the load P acts at the tip of a log as shown, determine the

compressive stress at point B on a cross section.

3. The bending moment acting on the curved beam with a rectangular cross section isM=800N-m. Calculate the bending stress at point B.

1 of 2

1kN

24m 24mL 6X4X0.5

Z

Bt

y

b/2

b/2

85mm20mm

B35mm

10mm

M

50mm


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Subject Code: C1502

4. A steel tube with the cross section shown carries a torgue T. the tube is 6 m long and has aconstant wall thickness of 3/8 m. i) compute the torsional stiffness K=T/ of the tube. Ii) if the

tube is twisted through 0.50. Determine the shear in the wall of the tube. Use G =12x10

6Pa and

neglect stress concentrations at the corners.

5. For the state of plane stress shown in figure. Determine the maximum in plane shearstress and the plane on which it actions show the results on a sketch of an element aligned

with the planes of maximum shear.

6. The simply supported beam in fig. a) carries two concentrated loads. i) Determine the expressionsfor the shear force and the bending moment for each segment

of the beam. ii) Sketch the shear force and bending moment

diagram. Neglect the weight of the beam. Note that the

support reactions @ A and D have been completed and are

shown in figure.

7. Explain the theory of pure bending of curved bars, displacements for symmetrical stressdistribution.

8. The shaft consisting of steel and aluminum segments carries the torgue T and 2T, find the largestallowable value of T if the working shear stresses are 12000 Pa fir steel and 8000Pa for aluminum

and the angle of rotation at the free end must not exceed 80

.Use G=12x10

6Pa for steel and G= 4x10

6Pa for an aluminum.

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5m3/8m

6m

4m

1 2 3

2m 3m 2m

A B C D

14kN 28kN

Ra=18kN Ra=24kN

100 MPa

40 MPa

50 MPa


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Subject Code: C8202


FIBRE OPTIC COMPONENTS, DEVICES & MEASUREMENTS

(Microwave & Communication Engineering)


Answer any FIVE questions. All questions carry EQUAL marks.

1. Explain in detail the principle and working of a Laser diode with neat diagrams.2. Write about the principle of operation and working of an avalanche photodiode with

the relevant diagrams.

3. Explain the different splicing techniques. List the principal requirements of a goodconnector?

4.What is the importance of an optical amplifier in fiber optics? Explain the working ofRaman fibre and Brillouin fibre amplifiers.

5. a. What are the key system features of WDM?b. Explain in detail about star couplers.

6. What are the applications of an optical amplifier? Write in detail about the Erbiumdoped fiber amplifiers.

7. What are the advantages of an optical fiber over other interconnectors? Write aboutthe applications of fiber optics.

8. What is the use of measurements in optics? Write in detail about displacement andvelocity measurements.

* * *


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Subject Code: C5802


MATHEMATICAL FOUNDATIONS OF COMPUTER SCIENCE

(Common to CS & CSE)


Answer any FIVE questions. All questions carry EQUAL marks.

1.a. What is a Well Formed Formula? What are rules of the Well Formed Formulas? Explainb. Show that (P Q) (P Q) ( P Q).

2. a. What is predicate calculus? What is its significance? Give example for 3-place, 4-place

& 5-place Predicates.

b. Prove validity of following argument using propositional logic:

A(BC), B(CD) A (B D)

3. a. What is pigeon whole principle? What are its applications?

b. Find the inverse of the functions: i) f(x) =(x+1)/x ii) f(x) =4e (3x+1)

4. a. Show that intersection of two submonoids of a monoid is a monoid.b. Explain endomorphism & Automorphism with suitable examples.

5. a. State & Prove principle of inclusion & exclusion of three variables.

b. How many 10 digit numbers are there which contain only the digit 1,2 & 3 with the

digit 2 appearing in each number twice.

6. a. What is the recurrence relation for towers of Hanoi problem? Obtain a solution for it.

b. Show that (1-4x)-1/2 generates the sequence c(2n,n), nN

7. Write and explain the Kruskals algorithm, applying the algorithm construct a

minimal spanning tree for graph given bellow.

8. a. Write a short note on Euler graphs.

b. List out the rules to find chromatic number of a given graph.

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1

4

2

6

5

3

10

5045

30

20

25

55 15

35

40

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