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Appendix K
Matrices for the Analysis of an
Extensible Curved Pipe Conveying
Fluid
The equation governing the in-plane motion of a typical element is
where [A,] is given by equation (6.92), the same as for out-of-plane motions of an inex-
tensible pipe. The coefficients a], 4, etc. are associated with linear interpolation of the
following static parameters:
hence, in terms of the values of no at nodes j and j + 1,
where is the length of the element in question. Similar expressions hold good for bl, b2
and el, c2. The integrals [11]-[111] are the same as in equations (6.93), while [112]-[1~3]
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