The single-Story system given in Figure 1 is modeled as two 3.0m high fixed- supported columns and a rigid beam. The total mass is 20kNs2/m. The columns are 0.25mx0.40m in size and the modulus of elasticity is E=3x107kN/m². The damping ratio of the system is -0.05. As shown in the figure, a constant ground acceleration is applied to the system for 0.4s. Calculate the response (displacement, velocity and acceleration) of the system for 20 seconds using the Newmark method. Plot the results (time-displacement, time-velocity and time-acceleration curves) in excel program. 3.0m k/2 W m 5.0m k/2 -P(t) xg (t) 100 0.4s

The single-Story system given in Figure 1 is modeled as two 3.0m high fixed- supported columns and a rigid beam. The total mass is 20kNs2/m. The columns are 0.25mx0.40m in size and the modulus of elasticity is E=3x107kN/m². The damping ratio of the system is -0.05. As shown in the figure, a constant ground acceleration is applied to the system for 0.4s. Calculate the response (displacement, velocity and acceleration) of the system for 20 seconds using the Newmark method. Plot the results (time-displacement, time-velocity and time-acceleration curves) in excel program. 3.0m k/2 W m 5.0m k/2 -P(t) xg (t) 100 0.4s

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

The single-Story system given in Figure 1 is modeled as two 3.0m high fixed-
supported columns and a rigid beam. The total mass is 20kNs2/m. The columns are
0.25mx0.40m in size and the modulus of elasticity is E=3×107KN/m2. The damping
ratio of the system is =0.05.
As shown in the figure, a constant ground acceleration is applied to the system for
0.4s.
Calculate the response (displacement, velocity and acceleration) of the system for 20
seconds using the Newmark method.
Plot the results (time-displacement, time-velocity and time-acceleration curves) in
excel program.
Xg(t)
P(1)
100
k/2
3.0m k/2
0.4s
5.0m

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