00086___6ede657ed05c385bac292dfd1f3a8596 - Sec. 2.16...

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Sec. 2.16 PHYSICAL COMPONENTS OF A VECTOR 65 Riemann-Christoffel curvature tensor are all equal to a constant, which may be written as 1. For a flat plate, they are zero. For certain hyperboloidal surface all the nonvanishing components of curvature may take on the value -1. Since the spirit of the theory of thin elastic shells is to reduce all the properties of the shells into differential equations describing the middle surface of the shell, an engineer deals with non-Euclidean geometry rather frequently. In cylindrical coordinates with unit base vectors (e,,
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This note was uploaded on 01/04/2012 for the course ENG 501 taught by Professor Thomson during the Fall '05 term at MIT.

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