Formulating equation of motion

Figure below shows a reinforced concrete framed building subjected to earthquake ground motion. The floor is rigid with the mass of each floor is shown in the figure. Formulate the equation of motion for this building. Prove that the natural frequencies for modes 1, 2 and 3 are 5.977 rad/s, 16.33 rad/s and 22.307 rad/s, respectively, and solve the equation of motion in order to obtain the generalized mass, damping, stiffness and force. Use the stiffness of column, k = 200 kN/m and the damping coefficient, c = 10 kN.s/m. Given:

View Complete Question

Related Questions in Mechanical Engineering

Q : Formation of Cavitation Explain the

Explain the reason behind formation of the Cavitation in the Centrifugal Pump and not in the Displacement Pump?

Q : Problem on steam turbine 1) A steam

1) A steam turbine takes in saturated steam at 300oc and outputs steam at 4 bar. When the efficiency of the turbine is 65%, Evaluate: a. The final composition (vapor vs. liquid) of outgoing steam.b. The

Q : What is Cotter joint Cotter joint :

Cotter joint: These kinds of joints are employed to connect two rods that are under compressive or tensile stress. The ends of rods are in the way of a socket and shaft which fit altogether and the cotter is driven into a slot which is common to both

Q : Difference between PLC and Logic Card

Difference between PLC and Logic Card: There is technically no difference. Both are logic controller utilized for several applications and in PLC has it's own internal memory (compared to Logic card).

Q : Decrease in entropy with termperature

Explain that Entropy decreases along with the increase in its temperature?

Q : What is critical speed What is critical

What is critical speed?

Q : Problem on turbulent flow The

The approximate equation for the velocity distribution in a rectangular channel with the turbulent flow is 655_turbulent flow.jpg

Q : Arena Are you able to assist with these

Are you able to assist with these two assignments in Arena simulation below? You can use the Basic Process instead of Blocks and Elements. An office of state license bureau has two types of arrivals. Individuals interested in purchasing new plates are characterized to have inter-arrival times dis

Q : Problem on discharge head loss Water is

Water is draining from the tank A to tank B. The elevation difference among the two tanks is 10 m. The pipe joining the two tanks has a sudden-expansion section as shown below. The cross-sectional area of the pipe from A is 8 cm2, and the area of the pipe f

Q : What is pneumatic system Pneumatic

Pneumatic system is a system which employs air to power something. For illustration, have you seen the tube systems at the bank drive-up tellers? Air is employed to push the tubes back and forth from the teller to customer.

Discover Q & A

Leading Solution Library

Avail More Than 1422522 Solved problems, classrooms assignments, textbook's solutions, for quick Downloads

No hassle, Instant Access

Start Discovering

18,76,764

1941797
Asked

3,689

Active Tutors

1422522

Questions
Answered

Start Excelling in your courses, Ask an Expert and get answers for your homework and assignments!!

Submit Assignment