Transverse Vibrations of Continuous Beams And Finite Element Analysis
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  • The displacement of any point P(x, y, z) on the cross-section at a distance x from the origin , from Figure12.2 , can be written as

    •                                                                                   (12.1)

  • The negative sign represents the displacement in negativ direction of the axis .The strain and stress fields are given by

    • and rest of strains are zero.                                                                      (12.2)

    and

    and rest of strains are zero.                                                                 (12.3)

    where E is the Young's modulus of elasticity.
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