The structure shown irbelowFig. 1 has very stiff beams, and hence, will be Idealized as two degrees of freedom. The structure properties are given as follows: mass: m₁ = 0.2 kN.s² /mm m₂=0.4 kN.s² /mm stiffness: K₁= 12 El₁/L₁ = 50 kN /mm k₂= 12 El₂/L₂ = 100 kN /mm L₁ = 3m L₂=3m EQ k₁ kz M₁ m₂ K₁ k₂ u1 damping: 5=5% Fig. 1 If the structure is excited by El-Centro earthquake in the direction shown in the same figure, calculate the maximum displacements, maximum story forces, and maximum reactions, i.e. base shear and base moment using SRSS combining method.

The structure shown irbelowFig. 1 has very stiff beams, and hence, will be Idealized as two degrees of freedom. The structure properties are given as follows: mass: m₁ = 0.2 kN.s² /mm m₂=0.4 kN.s² /mm stiffness: K₁= 12 El₁/L₁ = 50 kN /mm k₂= 12 El₂/L₂ = 100 kN /mm L₁ = 3m L₂=3m EQ k₁ kz M₁ m₂ K₁ k₂ u1 damping: 5=5% Fig. 1 If the structure is excited by El-Centro earthquake in the direction shown in the same figure, calculate the maximum displacements, maximum story forces, and maximum reactions, i.e. base shear and base moment using SRSS combining method.

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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Concept explainers

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.

Question

Determine the forces and max reactions correctly

Earthquake engineering civil

The structure shown irbelowig. 1 has very stiff beams, and hence, will be
Idealized as two degrees of freedom. The structure properties are given as
follows:
mass:
m₁ = 0.2 kN.s² /mm
m₂ = 0.4 kN.s² /mm
stiffness:
K₁= 12 El₁/L₁ = 50 kN /mm
k₂= 12 El₂/L₂ = 100 kN/mm
L₁ = 3m
L₂=3m
EQ
k₁
kz
M₂
K₁
K₂
5
Fig. 1
41
U2
damping:
5= 5%
If the structure is excited by El-Centro earthquake in the direction shown in
the same figure, calculate the maximum displacements, maximum story
forces, and maximum reactions, i.e. base shear and base moment using
SRSS combining method.

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