Code No: RR311403

RR

Set No. 2

in

III B.Tech I Semester Examinations,November 2010 FINITE ELEMENT METHODS Mechatronics Time: 3 hours Max Marks: 80 Answer any FIVE Questions All Questions carry equal marks ?????

ld .

1. Consider a brick wall (k = 0.7 W/m-K) of thickness 30 cm. The inner surface is at 280 C and the outer surface is exposed to cold air with heat transfer coefficient of 36 W/m2 K at -150 C. Determine the steady state temperature distribution and heat flux through the wall. [16] 2. (a) Explain the semi automatic mesh generation technique.

(b) List any three Finite element analysis software and explain their capabilities. [8+8]

uW

or

3. Estimate the displacement vector, stresses and reactions for the truss structure as shown below Figure8:

Figure 8

nt

Note: Area A(e) = 1mm2 and E=2×10 5 N/mm2

[16]

4. A simply supported beam of l m length carries a single point load P at the center of the span. Descritize the span into two elements, find the value of central deflection using FEM? [16]

Aj

5. Find the displacement at the free end and the reaction force for the following problem. Assume E = 2 ×105 N/mm2 . {As shown in the Figure1} [16]

Figure 1 1

Code No: RR311403

RR

Set No. 2

6. With a help of a neat block diagram, explain the model based simulation process of finite element method. [4+12] 7. Discuss the methodology to solve the Eigen value problem for the estimation of natural frequencies of a stepped bar? [16]

T = [aTr1 + bTr2 , aTz1 + bTz2 , bTr1 + cTr2 , bTz1 + cTz2 ]T Where

in

8. For the linearly varying distributed load on the axisymetric conical surface shown in figure3. Prove that the equivalent point load vector T is given by

uW

or

ld .

a = 2πl (3 r1 + r2 ) / 12, b = 2πl ( r1 + r2 ) / 12 and c = 2πl ( r1 + 3 r2 ) / 12[16]

Figure 3

Aj

nt

?????

2

Code No: RR311403

RR

Set No. 4

in

III B.Tech I Semester Examinations,November 2010 FINITE ELEMENT METHODS Mechatronics Time: 3 hours Max Marks: 80 Answer any FIVE Questions All Questions carry equal marks ?????

or

ld .

1. Find the displacement at the free end and the reaction force for the following problem. Assume E = 2 ×105 N/mm2 . {As shown in the Figure1} [16]

Figure 1

2. (a) Explain the semi automatic mesh generation technique.

uW

(b) List any three Finite element analysis software and explain their capabilities. [8+8]

Aj

nt

3. Estimate the displacement vector, stresses and reactions for the truss structure as shown below Figure8:

Figure 8

Note: A(e) = 1mm2 and E=2×10 5 N/mm2

[16]

4. Consider a brick wall (k = 0.7 W/m-K) of thickness 30 cm. The inner surface is at 280 C and the outer surface is exposed to cold air with heat transfer coefficient of 36 W/m2 K at -150 C. Determine the steady state temperature distribution and heat flux through the wall. [16]

5. With a help of a neat block diagram, explain the model based simulation process of finite element method. [4+12] 3

Code No: RR311403

RR

Set No. 4

6. Discuss the methodology to solve the Eigen value problem for the estimation of natural frequencies of a stepped bar? [16] 7. A simply supported beam of l m length carries a single point load P at the center of the span. Descritize the span into two elements, find the value of central deflection using FEM? [16]

T = [aTr1 + bTr2 , aTz1 + bTz2 , bTr1 + cTr2 , bTz1 + cTz2 ]T Where

in

8. For the linearly varying distributed load on the axisymetric conical surface shown in figure3. Prove that the equivalent point load vector T is given by

uW

or

ld .

a = 2πl (3 r1 + r2 ) / 12, b = 2πl ( r1 + r2 ) / 12 and c = 2πl ( r1 + 3 r2 ) / 12[16]

Figure 3

Aj

nt

?????

4

Code No: RR311403

RR

Set No. 1

in

III B.Tech I Semester Examinations,November 2010 FINITE ELEMENT METHODS Mechatronics Time: 3 hours Max Marks: 80 Answer any FIVE Questions All Questions carry equal marks ?????

ld .

1. A simply supported beam of l m length carries a single point load P at the center of the span. Descritize the span into two elements, find the value of central deflection using FEM? [16]

2. With a help of a neat block diagram, explain the model based simulation process of finite element method. [4+12]

or

3. Consider a brick wall (k = 0.7 W/m-K) of thickness 30 cm. The inner surface is at 280 C and the outer surface is exposed to cold air with heat transfer coefficient of 36 W/m2 K at -150 C. Determine the steady state temperature distribution and heat flux through the wall. [16] 4. For the linearly varying distributed load on the axisymetric conical surface shown in figure3. Prove that the equivalent point load vector T is given by Where

uW

T = [aTr1 + bTr2 , aTz1 + bTz2 , bTr1 + cTr2 , bTz1 + cTz2 ]T

Aj

nt

a = 2πl (3 r1 + r2 ) / 12, b = 2πl ( r1 + r2 ) / 12 and c = 2πl ( r1 + 3 r2 ) / 12[16]

Figure 3

5. (a) Explain the semi automatic mesh generation technique. (b) List any three Finite element analysis software and explain their capabilities. [8+8]

5

Code No: RR311403

RR

Set No. 1

in

6. Find the displacement at the free end and the reaction force for the following problem. Assume E = 2 ×105 N/mm2 . {As shown in the Figure1} [16]

ld .

Figure 1

7. Discuss the methodology to solve the Eigen value problem for the estimation of natural frequencies of a stepped bar? [16]

uW

or

8. Estimate the displacement vector, stresses and reactions for the truss structure as shown below Figure8:

Figure 8

Note: A(e) = 1mm2 and E=2×10 5 N/mm2

Aj

nt

?????

6

[16]

Code No: RR311403

RR

Set No. 3

in

III B.Tech I Semester Examinations,November 2010 FINITE ELEMENT METHODS Mechatronics Time: 3 hours Max Marks: 80 Answer any FIVE Questions All Questions carry equal marks ?????

or

ld .

1. Find the displacement at the free end and the reaction force for the following problem. Assume E = 2 ×105 N/mm2 . {As shown in the Figure1} [16]

Figure 1

2. (a) Explain the semi automatic mesh generation technique.

uW

(b) List any three Finite element analysis software and explain their capabilities. [8+8] 3. For the linearly varying distributed load on the axisymetric conical surface shown in figure3. Prove that the equivalent point load vector T is given by T = [aTr1 + bTr2 , aTz1 + bTz2 , bTr1 + cTr2 , bTz1 + cTz2 ]T Where

Aj

nt

a = 2πl (3 r1 + r2 ) / 12, b = 2πl ( r1 + r2 ) / 12 and c = 2πl ( r1 + 3 r2 ) / 12[16]

Figure 3

7

RR

Code No: RR311403

Set No. 3

4. Consider a brick wall (k = 0.7 W/m-K) of thickness 30 cm. The inner surface is at 280 C and the outer surface is exposed to cold air with heat transfer coefficient of 36 W/m2 K at -150 C. Determine the steady state temperature distribution and heat flux through the wall. [16]

in

5. A simply supported beam of l m length carries a single point load P at the center of the span. Descritize the span into two elements, find the value of central deflection using FEM? [16] 6. Discuss the methodology to solve the Eigen value problem for the estimation of natural frequencies of a stepped bar? [16]

ld .

7. With a help of a neat block diagram, explain the model based simulation process of finite element method. [4+12]

uW

or

8. Estimate the displacement vector, stresses and reactions for the truss structure as shown below Figure8:

Figure 8

(e)

2

Note: A = 1mm and E=2×10 5 N/mm2

Aj

nt

?????

8

[16]

RR Set No. 2

RR. Set No. 2. III B.Tech I Semester Examinations,November 2010 ... RR. Set No. 2. 6. With a help of a neat block diagram, explain the model based simulation ...

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