Code No: 15092
NR
Set No - 1
in
III B.Tech I Semester Supplimentary Examinations,Nov/Dec 2009 FINITE ELEMENT ANALYSIS Mechatronics Time: 3 hours Max Marks: 80 Answer any FIVE Questions All Questions carry equal marks ?????
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1. Consider a brick wall (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. [8+8]
2. Derive the finite element equations from the one dimensional second order equation by variational approach. [16]
(a) Lumped parameter model.
or
3. Explain the following with examples.
(b) Consistant mass matrix model.
[8+8]
uW
4. (a) Explain the significance of node numbering and element numbering during the discretization process. (b) Explain the natural and geometric boundary conditions.
[8+8]
nt
5 Find the displacements and reaction forces for the figure 3. E=2×105 N/mm2 .[16]
Figure 3
Aj
6. 5. The coordinates of the nodes 1, 2 and 3 of a triangular element are (1, 1), (8, 4) and (2, 7) in mm. The displacements at the nodes are u1 = 1 mm, u2 = 3 mm, u3 = -2 mm, v1 = -4 mm , v2 = 2 mm and v3 = 5 mm. Obtain the strain-displacement relations matrix B and determine the strains εx , εy and γxy . [16] 7. Find the nodal displacements developed in the planar truss as shown in figure4. [16]
1
NR
Set No - 1
Figure 4
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in
Code No: 15092
or
8. Derive the elemental stiffness matrix and load vector for two noded beam element? [16]
Aj
nt
uW
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2
Code No: 15092
NR
Set No - 2
in
III B.Tech I Semester Supplimentary Examinations,Nov/Dec 2009 FINITE ELEMENT ANALYSIS Mechatronics Time: 3 hours Max Marks: 80 Answer any FIVE Questions All Questions carry equal marks ?????
ld .
1. The coordinates of the nodes 1, 2 and 3 of a triangular element are (1, 1), (8, 4) and (2, 7) in mm. The displacements at the nodes are u1 = 1 mm, u2 = 3 mm, u3 = -2 mm, v1 = -4 mm , v2 = 2 mm and v3 = 5 mm. Obtain the strain-displacement relations matrix B and determine the strains εx , εy and γxy . [16] 2. Explain the following with examples. (a) Lumped parameter model.
[8+8]
or
(b) Consistant mass matrix model.
uW
3 Find the displacements and reaction forces for the figure 3. E=2×105 N/mm2 .[16]
Figure 3
4. 3. Derive the finite element equations from the one dimensional second order equation by variational approach. [16]
nt
5. Consider a brick wall (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. [8+8]
Aj
6. (a) Explain the significance of node numbering and element numbering during the discretization process. (b) Explain the natural and geometric boundary conditions.
[8+8]
7. Derive the elemental stiffness matrix and load vector for two noded beam element? [16] 8. Find the nodal displacements developed in the planar truss as shown in figure4. [16]
3
NR
Set No - 2
or
Figure 4
ld .
in
Code No: 15092
Aj
nt
uW
?????
4
Code No: 15092
NR
Set No - 3
in
III B.Tech I Semester Supplimentary Examinations,Nov/Dec 2009 FINITE ELEMENT ANALYSIS Mechatronics Time: 3 hours Max Marks: 80 Answer any FIVE Questions All Questions carry equal marks ????? 1. Derive the finite element equations from the one dimensional second order equation by variational approach. [16]
uW
or
ld .
2. Find the nodal displacements developed in the planar truss as shown in figure4. [16]
Figure 4
nt
3. Derive the elemental stiffness matrix and load vector for two noded beam element? [16] 4. Explain the following with examples.
Aj
(a) Lumped parameter model.
(b) Consistant mass matrix model.
[8+8]
5. Consider a brick wall (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. [8+8]
6. (a) Explain the significance of node numbering and element numbering during the discretization process. (b) Explain the natural and geometric boundary conditions. 5
[8+8]
Code No: 15092
NR
Set No - 3
7. The coordinates of the nodes 1, 2 and 3 of a triangular element are (1, 1), (8, 4) and (2, 7) in mm. The displacements at the nodes are u1 = 1 mm, u2 = 3 mm, u3 = -2 mm, v1 = -4 mm , v2 = 2 mm and v3 = 5 mm. Obtain the strain-displacement relations matrix B and determine the strains εx , εy and γxy . [16]
Figure 3
Aj
nt
uW
or
?????
ld .
in
8. Find the displacements and reaction forces for the figure 3. E=2×105 N/mm2 .[16]
6
Code No: 15092
NR
Set No - 4
in
III B.Tech I Semester Supplimentary Examinations,Nov/Dec 2009 FINITE ELEMENT ANALYSIS Mechatronics Time: 3 hours Max Marks: 80 Answer any FIVE Questions All Questions carry equal marks ?????
ld .
1. The coordinates of the nodes 1, 2 and 3 of a triangular element are (1, 1), (8, 4) and (2, 7) in mm. The displacements at the nodes are u1 = 1 mm, u2 = 3 mm, u3 = -2 mm, v1 = -4 mm , v2 = 2 mm and v3 = 5 mm. Obtain the strain-displacement relations matrix B and determine the strains εx , εy and γxy . [16] 2. Derive the elemental stiffness matrix and load vector for two noded beam element? [16]
uW
or
3. Find the displacements and reaction forces for the figure 3. E=2×105 N/mm2 .[16]
Figure 3
Aj
nt
4. Find the nodal displacements developed in the planar truss as shown in figure4. [16]
Figure 4 5. Explain the following with examples. 7
Code No: 15092
NR
Set No - 4
(a) Lumped parameter model. (b) Consistant mass matrix model.
[8+8]
6. Derive the finite element equations from the one dimensional second order equation by variational approach. [16]
(b) Explain the natural and geometric boundary conditions.
in
7. (a) Explain the significance of node numbering and element numbering during the discretization process.
[8+8]
Aj
nt
uW
or
?????
ld .
8. Consider a brick wall (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. [8+8]
8
