1 (a)
Draw the influence line diagram for bending moment at any given section of a simply supported beam.

4 M

1 (b)
Show that for maximum bending moment at any section of simply supported girder traversed by a moving uniformly distributed load shorter than the girder span, the section should divide the uniformly distributed load in the same ratio as it divides the girder span.

6 M

1 (c)
A uniformly distributed load of kN/m and 5m long sides across a beam of 15m long simply supported at its both ends. Determine Max Bending moment and shear at a section 6m from left hand support.

10 M

2
Analyze the continuous beam shown in Fig Q2 by slope deflection method. Draw B.M.D.

20 M

3
Analyze the frame shown in Fig. Q3 by moment distribution methods. Draw B.M.D.

20 M

4
Analyze the frame shown below by moment distribution methods. Draw B.M.D. (refer Fig, Q No 4).

20 M

5
Analyze the frame shown in Fig Q5 by taking advantages of symmetry. Draw B.M.D.

20 M

6
Analyze the frame shown in Fig Q6 by using Flexibility matrix method. Use system approach.

20 M

7
Find the displacement components along the system coordinates for the frame shown in Fig. Q7 using stiffness method (use system approach).

20 M

8 (a)
Define the following terms:

i) Free Vibration

ii) Forced Vibration

iii) Periodic motion

iv) Natural frequency

v) Damping.

i) Free Vibration

ii) Forced Vibration

iii) Periodic motion

iv) Natural frequency

v) Damping.

10 M

8 (b)
Determine the natural frequency and Time period of the system as shown in Fig Q8 (b). Take E=2.1×10

^{5}N/mm^{2}and I=13×10^{6}mm^{4}.

10 M

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