Old Question Paper of RGPV for AU 705 7th Semester

R.G.P.V. Bhopal (MP)

Course: B.E Automobile Engineering

B.E. (7th Semester) EXAM, DEC-2010

COMPUTER AIDED ENGG & FEM [ AU-705 ]

Time: 3Hrs Max Marks: 100 Min Marks: 35

Note : Attempt any five questions.All question carry equal marks.

Q.1 (a) Explain the difference between finite element analysis and conventional analysis . List the benefit of FEA ? 10

(b) Derive the equation of motion for dynamic analysis Mx + Kx = 0 ? 10

Where M = mass matrix

x =acceleration matrix

K = stiffness matrix

x = displacement matrix 20

Q.2 (a) Explain the following terms : ? 10

I. skeletal structures

II. Continuum structures

(b) What does the term boundary condition mean and explain any one method for its application in structural engineering ? 10

Q.3 Define shape function for 2- D triangular and rectangular elements ? 20

Q.4 For the triangular element shown in fig. 1 obtain the strain – displacement matrix B ? 20

Q.5 (a) Explain the need of global co-ordinate system ? 10

(b) Explain the following computer storage scheme of matrix ? 10

(i) Banded matrix

(ii) Skyline matrix

Q.6 (a) Explain the usen of quadratic and cubic elements in analysis of iso – parameteric element ? 10

(b) Explain the use of natural or intrinsic co-ordinate system ? 10

Q 7 Consider the four bar truss shown in fig. 2. Determine: 20

(a ) Stiffness matrix for all element

(b) Assembled stiffness matrix for entire truss.

Q.8 Write short note on any four of the following : 5 each

(a) Hamilton's principle

(b) Mass matrix

(c) Software packages for FEM

(d) Gaussian elimination

(e) Advantage of FEM

(f) Mode shapes

R.G.P.V. Bhopal (MP)

Course: B.E Automobile Engineering

B.E. (7th Semester) EXAM, DEC-2010

COMPUTER AIDED ENGG & FEM [ AU-705 ]

Time: 3Hrs Max Marks: 100 Min Marks: 35

Note : Attempt any five questions.All question carry equal marks.

Q.1 (a) Explain the difference between finite element analysis and conventional analysis . List the benefit of FEA ? 10

(b) Derive the equation of motion for dynamic analysis Mx + Kx = 0 ? 10

Where M = mass matrix

x =acceleration matrix

K = stiffness matrix

x = displacement matrix 20

Q.2 (a) Explain the following terms : ? 10

I. skeletal structures

II. Continuum structures

(b) What does the term boundary condition mean and explain any one method for its application in structural engineering ? 10

Q.3 Define shape function for 2- D triangular and rectangular elements ? 20

Q.4 For the triangular element shown in fig. 1 obtain the strain – displacement matrix B ? 20

Q.5 (a) Explain the need of global co-ordinate system ? 10

(b) Explain the following computer storage scheme of matrix ? 10

(i) Banded matrix

(ii) Skyline matrix

Q.6 (a) Explain the usen of quadratic and cubic elements in analysis of iso – parameteric element ? 10

(b) Explain the use of natural or intrinsic co-ordinate system ? 10

Q 7 Consider the four bar truss shown in fig. 2. Determine: 20

(a ) Stiffness matrix for all element

(b) Assembled stiffness matrix for entire truss.

Q.8 Write short note on any four of the following : 5 each

(a) Hamilton's principle

(b) Mass matrix

(c) Software packages for FEM

(d) Gaussian elimination

(e) Advantage of FEM

(f) Mode shapes

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