DEPARTMENT OF CIVIL ENGINEERING, IIT BOMBAY CE-317 STRUCTURAL MECHANICS II Midsem 13/9/11 Problem 1 Using the Slope Deflection method, determine the reactions at the supports for the frame shown in Fig. 1
100 kN 12 m
9m C
B
A
Fig. 1
2I
2I
E
6m
I
I D 9m
Problem 2 Using the Moment Distribution method, determine the bending moment at the fixed supports and the reaction at the roller for the frame shown in Fig. 2. You must use only two iterations for moment distribution at each joint and the sequential method (Method-1), and stiffness modifications wherever possible.
10 m A
10 m
10 m
B I
10 m
Fig. 2 2I
E
2I
C
10 kN
2I
D
Problem 3 Using the Stiffness matrix method, determine the displacements and reactions at the supports for the truss shown in Fig. 3
60 3 60 Fig. 3
P 1
60
60
L
2
30