22.314/1.56/2.084/13.14 Fall 2006�
Problem Set IX
Due
11
/
2
1
/0
6
This problem set illustrates some features of seismic analysis. A response spectrum
modal (lumped mass) method is to be used.
1)
Geometry, Properties, Supports: The reactor component of interest is
represented by a pipe. The pipe is subjected to a seismic ground motion that
acts parallel to the xdirection. The axis of the pipe in the zdirection.
The pipe has an outside diameter of 210mm, a wall thickness of 7mm, and a length
of 3m. The pipe is made of a material with Young’s modulus = 200 Gpa and density
= 8500 kg/m
3
. Liquid water (density = 750 kg/m
3
) is present both inside and outside
of the pipe. The added mass coefficient for the outside water is 1.1. Neglect direct
treatment of fluid friction, fluid drag, and solid friction – these effects are incorporated
in the damping matrix of item 2.
The support at z = 0 is fixed (zero displacement and zero slope). The support at the
other end (z=L=3 m) is a roller (zero displacement, zero moment, and zero axial
force).
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 Fall '06
 MujidS.Kazimi
 Fluid Dynamics, Force, Response spectrum

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