## Fundamentals of statically indeterminate structures |

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### Contents

CHAPTER PAGE 1 INTRODUCTION | 3 |

ANALYTICAL DETERMINATION OF TRUSS DEFLECTIONS | 11 |

STATICALLY INDETERMINATE TRUSSES | 31 |

Copyright | |

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### Common terms and phrases

50-kip load angular displacement angular distortion axial strain axial stress beam of Fig camber cantilever carry-over factor Castigliano's second theorem centroid component of reaction compression members compressive stress compute all reactions conjugate beam Construct the influence cross section cut ends due dead load deformation diagram and compute dimensionless displacement due displacement of point ds/EI elastic curve elastic energy equal to zero equations Evaluate summations factor of safety fixed-end moments frame of Fig free body horizontal component horizontal displacement inclined plane indeterminate truss inflection point influence line joists k.ft k.in kips live load load factor loads are applied loads shown M/EI Maxwell's Theorem member BC modulus of elasticity moments of areas moments of inertia neutral axis neutral point partial derivative PLASTIC YIELDING pole distance prestress product of inertia proportional limit Q forces radian reaction component real beam reduced structure redundant relative displacement relative rotation secondary stresses shearing strain shown in Fig sign convention static equilibrium statically indeterminate structures structural steel summations by integration thermal expansion tie rod truss of Fig turnbuckle ultimate strength uniformly distributed vectors vertical deflection vertical displacement virtual force virtual unit force Williot diagram Williot-Mohr diagram yield point