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Finite Element Method (Elective I) (April 2010)

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Total No. of Questions : 12] P1464 [Total No. of Pages : 2 [3764]-107 B.E. (Civil) FINITE ELEMENT METHOD (Elective - I) (2003 Course) Time : 3 Hours] [Max. Marks : 100 Instructions to the candidates : 1) Solve Q.1 or Q.2, Q.3 or Q.4, Q.5 or Q.6 from Section I and solve Q.7 or Q.8, Q.9 or Q.10, Q.11 or Q.12 from Section II. 2) Answers to the two sections must be written in separate books. 3) Figures to the right indicate full marks. 4) Use of pocket calculator is allowed. SECTION - I Q1) A pin jointed truss ABCD, AB = 3m, BC = 2m, consists of five members AB, BC, CD, DA & AC. The truss is hinged at A & D and roller supported at B such that UB is allowed. A load of 100 kN acts vertically downward at C . If AE is same for all members, develop overall matrix equation. [16] OR Q2) State the principle of minimum Potential Energy & hence derive any two equations of matrix equations for a truss member of length l of extensibility AE. Member makes an angle with x axis. [16] Q3) a) Explain direct & variational approach in deriving matrix equation in finite element method use suitable example. [8] b) A propped cantilever of length l & uniform flexural rigidity EI is subjected to moment M at propped end. Using single element analyse the beam & draw B.M. diagram. [10] OR Q4) A continuous beam ABCD is fixed at A & D and roller supported at B & C such that AB = 6m, BC = 4m & CD = 6m. EI is uniform. It is subjected to udl of 30 kN/m on entire length ABCD. Find unknown DOFs. Use structure approach. [18] P.T.O.

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Additional Info : April 2010 Examination - Finite Element Method (Elective I) (2003 Course)
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