B G1032 Pages: 3

PART C
Answer any two full questions, each carries 20 marks.

7 a) Discuss the procedure of Direct Stiffness Method in the matrix analysis (5)
0) Analyse the continuous beam shown in figure 5 using Direct Stiffness Method (15)

shown in figure and develop the BMD

60111 20 kN/m 30 kN
ത + B ८ :
1.5 El EI 2 El
4m 2m 3m 4m 4 ‏سے‎ 2൩ 2൩൨ ൩൩,
Fig 5
8 a) Explain Direct Stiffness Method in the matrix analysis (5)

b) Analyse the beam shown in figure 6 using Direct Stiffness Method shown in figure (15)

and determine the member forces and moments.

60 kN/m 100 kN

है aaa ത 1 ८

൩ , 1.57) Sm, 4m 0 1.5m 1 1.5m

Fig 6
9 a) Write the equation of motions corresponding to the damped and undamped free and (5)
forced vibration.
b) Derive the equations for response of SDOF system subjected to damped free (15)
vibration in ‘x’ direction with inertia constant m, spring constant k and damping

constant c. Draw the response diagram also.

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