10000CE403122101

coordinates?
Analyse the structure shown in Figure 10 by direct stiffness method. Assume (15)

constant EI for all the members.

गा ೫ kN/m

2m

B

Figure 10 ८
State and explain D’Alembert’s principle and its use in dynamic analysis of (5)
systems
Explain the term logarithmic decrement and derive its expression. (7)
Explain resonance and dynamic magnification factor. (8)

A mass of 3 kg is suspended from a light spring of stiffness 250 N/m, which is (10)
suspended at the free end of a cantilever beam of length 1 m and flexural rigidity
250 Nm. Find the natural frequency and form the equation of motion for the
system neglecting the mass of the beam and damping.
An undamped system vibrates with a frequency of 10 Hz and amplitude | mm. (5)
Calculate the maximum amplitude of the system's velocity and acceleration.
For damping ratio 0.2, Find (5)
i. The damped and undamped frequency
11. The logarithmic decrement

iii. The ratio of successive amplitude

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