Code No: R05311402

R05

Set No. 2

in

III B.Tech I Semester Examinations,May 2011 FINITE ELEMENT MEHTODS Mechatronics Time: 3 hours Max Marks: 80 Answer any FIVE Questions All Questions carry equal marks ????? 1. Explain the following with examples.

(b) Consistant mass matrix model.

ld .

(a) Lumped parameter model.

[8+8]

2. (a) Define Geometric Variance. (b) What is meant by displacement function?

[4+6+6]

or

(c) Give the importance of Pascal Triangle.

nt

uW

3. Determine the displacements at nodes and the stresses in elements shown in figure 3: [16]

Figure 3

Aj

4. find the displacements and reaction forces for the fig 4 given below. Assume E = 2 x 105 N/mm2 . [16]

Figure 4

5. Derive the methodology to develop a stiffness matrix and load vector for a 2-noded beam element with 4 degrees of freedom? [16] 6. (a) What are the limitations of NASTRAN in stress analysis? 1

Code No: R05311402

R05

Set No. 2

(b) What are the drawbacks of ANSYS in modeling?

[8+8]

7. Calculate the temperatures at nodal points in 1-D fin as shown in figure 7:

Figure 7

ld .

in

[16]

or

8. Triangular elements are used for stress analysis of a plate subjected to inplane load. The components of displacements parallel to (x, y) axes at the nodes i, j and k of an element are found to be (- 0.001, 0.01), (-0.002, 0.01) and (- 0.002, 0.02) cm respectively. If the (x, y) coordinates of the nodes i, j and k are (20, 20), (40, 20) and (40, 40) in cm respectively, find (a) the distribution of the (x, y) displacement components inside the element and (b) the components of displacement of the point (xp ,yp ) = (30, 25) cm. [16]

Aj

nt

uW

?????

2

Code No: R05311402

R05

Set No. 4

in

III B.Tech I Semester Examinations,May 2011 FINITE ELEMENT MEHTODS Mechatronics Time: 3 hours Max Marks: 80 Answer any FIVE Questions All Questions carry equal marks ????? 1. Calculate the temperatures at nodal points in 1-D fin as shown in figure 1:

or

ld .

[16]

Figure 1

nt

uW

2. Determine the displacements at nodes and the stresses in elements shown in figure 2: [16]

Figure 2

Aj

3. Find the displacements and reaction forces for the fig 3 given below. Assume E = 2 x 105 N/mm2 . [16]

Figure 3

3

Code No: R05311402

R05

Set No. 4

4. Derive the methodology to develop a stiffness matrix and load vector for a 2-noded beam element with 4 degrees of freedom? [16] 5. (a) Define Geometric Variance. (b) What is meant by displacement function? [4+6+6]

in

(c) Give the importance of Pascal Triangle. 6. Explain the following with examples. (a) Lumped parameter model.

[8+8]

ld .

(b) Consistant mass matrix model. 7. (a) What are the limitations of NASTRAN in stress analysis? (b) What are the drawbacks of ANSYS in modeling?

[8+8]

uW

or

8. Triangular elements are used for stress analysis of a plate subjected to inplane load. The components of displacements parallel to (x, y) axes at the nodes i, j and k of an element are found to be (- 0.001, 0.01), (-0.002, 0.01) and (- 0.002, 0.02) cm respectively. If the (x, y) coordinates of the nodes i, j and k are (20, 20), (40, 20) and (40, 40) in cm respectively, find (a) the distribution of the (x, y) displacement components inside the element and (b) the components of displacement of the point (xp ,yp ) = (30, 25) cm. [16]

Aj

nt

?????

4

Code No: R05311402

R05

Set No. 1

in

III B.Tech I Semester Examinations,May 2011 FINITE ELEMENT MEHTODS Mechatronics Time: 3 hours Max Marks: 80 Answer any FIVE Questions All Questions carry equal marks ????? 1. Calculate the temperatures at nodal points in 1-D fin as shown in figure 1:

or

ld .

[16]

Figure 1

2. (a) What are the limitations of NASTRAN in stress analysis?

uW

(b) What are the drawbacks of ANSYS in modeling?

[8+8]

nt

3. Triangular elements are used for stress analysis of a plate subjected to inplane load. The components of displacements parallel to (x, y) axes at the nodes i, j and k of an element are found to be (- 0.001, 0.01), (-0.002, 0.01) and (- 0.002, 0.02) cm respectively. If the (x, y) coordinates of the nodes i, j and k are (20, 20), (40, 20) and (40, 40) in cm respectively, find (a) the distribution of the (x, y) displacement components inside the element and (b) the components of displacement of the point (xp ,yp ) = (30, 25) cm. [16] 4. (a) Define Geometric Variance. (b) What is meant by displacement function? (c) Give the importance of Pascal Triangle.

[4+6+6]

Aj

5. Derive the methodology to develop a stiffness matrix and load vector for a 2-noded beam element with 4 degrees of freedom? [16]

6. Find the displacements and reaction forces for the fig 6 given below. Assume E = 2 x 105 N/mm2 . [16]

5

Code No: R05311402

R05

Set No. 1

in

Figure 6

or

ld .

7. Determine the displacements at nodes and the stresses in elements shown in figure 7: [16]

Figure 7

uW

8. Explain the following with examples. (a) Lumped parameter model.

(b) Consistant mass matrix model.

Aj

nt

?????

6

[8+8]

Code No: R05311402

R05

Set No. 3

in

III B.Tech I Semester Examinations,May 2011 FINITE ELEMENT MEHTODS Mechatronics Time: 3 hours Max Marks: 80 Answer any FIVE Questions All Questions carry equal marks ?????

ld .

1. Triangular elements are used for stress analysis of a plate subjected to inplane load. The components of displacements parallel to (x, y) axes at the nodes i, j and k of an element are found to be (- 0.001, 0.01), (-0.002, 0.01) and (- 0.002, 0.02) cm respectively. If the (x, y) coordinates of the nodes i, j and k are (20, 20), (40, 20) and (40, 40) in cm respectively, find (a) the distribution of the (x, y) displacement components inside the element and (b) the components of displacement of the point (xp ,yp ) = (30, 25) cm. [16]

(a) Lumped parameter model.

or

2. Explain the following with examples.

(b) Consistant mass matrix model.

[8+8]

uW

3. Find the displacements and reaction forces for the fig 2 given below. Assume E = 2 x 105 N/mm2 . [16]

nt

Figure 2

4.. (a) What are the limitations of NASTRAN in stress analysis? (b) What are the drawbacks of ANSYS in modeling?

[8+8]

5. Calculate the temperatures at nodal points in 1-D fin as shown in figure 5:

Aj

[16]

Figure 5 7

Code No: R05311402

R05

Set No. 3

6. Derive the methodology to develop a stiffness matrix and load vector for a 2-noded beam element with 4 degrees of freedom? [16] 7. (a) Define Geometric Variance. (b) What is meant by displacement function? [4+6+6]

in

(c) Give the importance of Pascal Triangle.

or

ld .

8. Determine the displacements at nodes and the stresses in elements shown in figure 8: [16]

Figure 8

Aj

nt

uW

?????

8

R05 Set No. 2

(b) What is meant by displacement function? (c) Give the importance of Pascal Triangle. [4+6+6] · 3. Determine the displacements at nodes and the stresses in ...
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