Q.1 A simple mass-spring oscillatory system consists of a mass m, suspended from a spring of stiffness k. Considering z as the displacement of the system at any time f, the equation of motion for the free vibration of the system is The natural frequency of the system is [2019 : 1 Mark, Set-I]
Q.2 A plane frame shown in the figure (not to scale) has linear elastic springs at node H. The spring constants are kx = ky = 5 x 105 kN/m and kθ = 3 x 105 kNm/rad.
For the externally applied moment of 30 kNm at node F, the rotation (in degrees, round off to 3 decimals) observed in the rotational spring at node H is___________ [2019 : 2 Marks, Set-II]
No moment can be taken by segment FE
∴ MFE = 0
Q.3 For the beam shown below, the stiffness coefficient K22 can be written as [2015 : 1 Mark, Set-I]
By giving unit displacement in 2nd direction without giving displacement in any other direction, the force developed RB, is,
(∴ Δ = 1)