Could you help me to solve Q6 please?

Problem 1 Spring 2018 The frame shown in the adjacent image, made up of two columns supporting a concrete block (e.g. a floor) with the mass of M-5000 Kg wind torce 1. Viewing the two 8 m columns of the frame as two cantilever beams acting like leaf springs, derive the equation of lateral motion (in x- direction) of the frame mass. The rigidity of each column is El-9e7 Kg m2. Assume a small amount of material damping (2%) in the frame system (structure What is the natural frequency of the structure? Plot the frequency response of the frame with the force as the input and the lateral displacement of the mass as the output. distance between the two columns: 10 m 2. 3. 4. The structure is subject to a step wind force of 9,000 N. Simulate and plot the lateral motion of the mass for the duration of 10T, where T is the natural period (the inverse of natural frequency) of the structure 5 To lower the oscillation of the frame, it is suggested to brace the frame system diagonally by a viscous damper as shown in the figure. What should the damping coefficient of the viscous damper be if the structure damping ratio is to increase from 2% to 8%? Superimpose the frequency and time responses of the braced structure on the two plots make in parts 3 and 4 6. Repeat parts 1-5 for the structure being perturbed at its base (e.g., by an earthquake perturbation) with the base acceleration of 0.1g, in the absence of wind perturbation. Note that in this case the base s not fixed. Cantilever beam deflection can be used in evaluating the stiffness of the columns. rt 38I ne y hes problen tre Problem 1 Spring 2018 The frame shown in the adjacent image, made up of two columns supporting a concrete block (e.g. a floor) with the mass of M-5000 Kg wind torce 1. Viewing the two 8 m columns of the frame as two cantilever beams acting like leaf springs, derive the equation of lateral motion (in x- direction) of the frame mass. The rigidity of each column is El-9e7 Kg m2. Assume a small amount of material damping (2%) in the frame system (structure What is the natural frequency of the structure? Plot the frequency response of the frame with the force as the input and the lateral displacement of the mass as the output. distance between the two columns: 10 m 2. 3. 4. The structure is subject to a step wind force of 9,000 N. Simulate and plot the lateral motion of the mass for the duration of 10T, where T is the natural period (the inverse of natural frequency) of the structure 5 To lower the oscillation of the frame, it is suggested to brace the frame system diagonally by a viscous damper as shown in the figure. What should the damping coefficient of the viscous damper be if the structure damping ratio is to increase from 2% to 8%? Superimpose the frequency and time responses of the braced structure on the two plots make in parts 3 and 4 6. Repeat parts 1-5 for the structure being perturbed at its base (e.g., by an earthquake perturbation) with the base acceleration of 0.1g, in the absence of wind perturbation. Note that in this case the base s not fixed. Cantilever beam deflection can be used in evaluating the stiffness of the columns. rt 38I ne y hes problen tre