GTU Civil Engineering (Semester 7)
Advanced Structural Analysis
May 2016
Total marks: --
Total time: --
INSTRUCTIONS
(1) Assume appropriate data and state your reasons
(2) Marks are given to the right of every question
(3) Draw neat diagrams wherever necessary


1 Analyze the beam shown in Fig. 1 by stiffness matrix method and plot only bending moment diagram.

14 M

2 (a) Derive the member stiffness matrix for a typical beam using usual notations.
7 M
Solve any one question from Q2(b) & Q2(c)
2 (b) Explain the terms: Null Matrix, Transpose of matrix and band matrix.
7 M
2 (c) Write short note on 'Process of Discretization'.
7 M

Solve any one question from Q3(a) & Q3(b)
3 (a) Analyze the portal frame shown in Fig. 2 by stiffness matrix and plot only bending moment diagram.

14 M
3 (b) Analyze the portal frame shown in Fig. 3 by stiffness matrix and plot bending moment diagram and shear force diagram.

14 M

Solve any two question from Q4(a), Q4(b) & Q4(c), Q4(d)
4 (a) Derive the shape functions for three noded beam using usual notations.
7 M
4 (b) Explain preprocessing and post processing stage in finite element package.
7 M
4 (c) Derive the shape functions for constrain triangle with polynomial function.
7 M
4 (d) Derive the member stiffness matrix for truss member with usual notations.
7 M

Solve any question from Q5(a) & Q5(b), Q5(c).
5 (a) Analyze the truss as shown in Fig. 4 by stiffness matrix method, find joint displacement and member forces. Support B settles down by 2.5 mm and temperature in BD increased by 20°c, α=12×10-6 °c AE=8000 kN.

14 M
5 (b) What are the various methods available for the solution of linear simultaneous equations using matrices? Write C/C++ program for one of those methods.
7 M
5 (c) Derive the member stiffness matrix for grid member with usual notations.
7 M



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