Question 2:For the rigid bay spring system shown in Fig. 1, assume vertical displacement u at joint C is the SDOF. Arotational spring k, = 2kL² is placed at joint B.a) Find equivalent stiffness Ke at SDOF.b) Find energy equivalent mass (eem) at SDOF.c) Find natural circular frequency on for the system.Find the maximum steady-state responses for the following load cases. (let N = forcing frequency, on = naturalfrequency), neglect damping.a) Apply uniformly distributed vertical load wosint on entire upper bar.b) Apply vertical support motion dsinnt at joint A.c) Apply a vertical force Posinnt at right end of upper bar.d) Apply vertical ground acceleration aosint to entire structureAL+upper bar, rigid, mass = 3mBLkr = 2 kL²u=SDOFL+0.5kLlower bar, rigid, mass= 2mDEk+LQuestion 3:For the rigid bar-spring system in Q2, assume no damping, consider the excitation force: a vertical forcePosinot applied at right end of upper bar. Find & plot the transient state, steady state, and total response (upto t = 3Tn, in which Tn is the period of the system). Assume 2/on=1.5, no initial displacement or velocity.When plotting, use the following values for the parameters: m=0.02, k=0.3, L=1.6, Po −0.4.

Answered: Image /qna-images/answer/5eddecc2-16fc-4880-8234-c50c0efc661f.jpg

Question 2: For the rigid bay spring system shown in Fig. 1, assume vertical displacement u at joint C is the SDOF. A rotational spring kr = 2kL² is placed at joint B. a) Find equivalent stiffness Ke at SDOF. b) Find energy equivalent mass (eem) at SDOF. c) Find natural circular frequency on for the system.

Question 2: For the rigid bay spring system shown in Fig. 1, assume vertical displacement u at joint C is the SDOF. A rotational spring kr = 2kL² is placed at joint B. a) Find equivalent stiffness Ke at SDOF. b) Find energy equivalent mass (eem) at SDOF. c) Find natural circular frequency on for the system.

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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Mechanics of Solids

It is the study of the behavior of solid materials, their characteristics under various circumstances such as variation in external forces, temperature, and other internal factors. It is one of most important study in the field of engineering science, especially chemistry and mechanical engineering. In rigid body, the idealization of the solid body in which deformation is neglected. Deformation is known as the force acting on the solid state system which exerts change in its shape of the body but it continues to be at rest or in a uniform motion but it cannot accelerate. But those solid systems do have elasticity, compressibility and can be bent. This field is very vast since there are wide range of materials around us.

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