STUPIDSID
1 (a)
What is non linearity? Explain Geometrical, Material and Loading non linearity giving appropriate examples.
7 M
1 (b)
Enlist various steps involved in solution of problem using Finite Element
Method and Explain Discretization in details.
7 M
2 (a)
Determine the Shape functions for Constant Strain Triangle. Use natural Co-
ordinate Systems.
7 M
2 (b)
Explain "Incremental Analysis with Iteration" technique.
7 M
2 (c)
Derive the relation for Action or Displacement vector on member axis and
Structure axis for Plane frame.
7 M
3 (a)
Analyse the non prismatic fixed beam shown in fig-1 by the Stiffness Matrix method using member approach. Find the force and displacement responses. Draw S.F and B.M diagrams. Take EI=80000kNm2.
14 M
3 (b)
Analyse the three span beam shown in fig-2 by the Stiffness Matrix method using member approach. Draw B.M diagram. Assume constant flexural rigidity, EI. Use of Symmetry is permitted.
14 M
4 (a)
Analyse the three Bar Assembly shown in fig-3 by the Stiffness Matrix method using member approach. Find the support reaction and bar forces. Take A=6cm2 for each bar.
| Mem. | L-cm | E-kN/cm2 |
| 1 | 346.42 | 8000 |
| 2 | 300 | 20000 |
| 3 | 424.20 | 8000 |
7 M
4 (b)
Derive the Shape functions for four Noded Quadrilateral elements.
7 M
4 (c)
Explain "Beam with Elastic Supports" in details
4 M
4 (d)
Analyse the truss shown in fig-4 by the Stiffness Matrix method using member approach. find joint displacements, support reactions, bar forces and bar elongations. Take EA=6000kN for each bar.
10 M
5 (a)
Analyse the truss shown in fig-5 by Stiffness Matrix method using member approach. Find support reactions, bar forces. Take AE=60×103
7 M
5 (b)
Analyse the frame shown in fig-6 by Stiffness Matrix member approach. Draw free body diagram of frame, Take AE=8000kN,EI=20000kNm2.
7 M
5 (c)
Analyse the portal frame shown in fig-7 by the Stiffness Matrix method using member approach. Consider the effect of indirect loading in the form of a settlement of 10mm at the support D. Take E=2.5×1042 Find the complete force response and draw B.M diagrams.
14 M
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