## Elasticity theory and applications |

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### Contents

Introduction to the Kinematics of Continuous Media | 3 |

Review of Matrix Algebra | 9 |

Linear Transformation of Points | 20 |

Copyright | |

26 other sections not shown

### Common terms and phrases

analytic angle assume axis beam becomes bending body forces boundary conditions called cartesian Chapter circular coefficients components compute constant contour corresponding cosh cross section curve curvilinear coordinates cylinder cylindrical coordinates defined deflection deformation determined deviatoric direction cosines displacement vector displacements elastic element ellipse equal to zero equations of equilibrium expression given by Eq gives harmonic function integral Let us consider linear transformation lines of curvature load magnitude matrix membrane middle surface Mohr's normal stresses obtained orthogonal parallel plane strain plane stress plate positive potential principal curvatures principal directions principal stresses problem radius rectangular respect rotation satisfied scalar shearing forces shearing stress shell shown in Fig side of Eq sinh solution strain energy stress function stress vector stress-strain relations Substituting Eq symmetric transformation system of coordinates tangential theorem torsion twisting unit circle unit length