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- Castigliano's_method abstract "Castigliano's method, named for Carlo Alberto Castigliano, is a method for determining the displacements of a linear-elastic system based on the partial derivatives of the Energy principle structures, he is known for his two theorems. The basic concept may be easy to understand by recalling that a change in energy is equal to the causing force times the resulting displacement. Therefore, the causing force is equal to the change in energy divided by the resulting displacement. Alternatively, the resulting displacement is equal to the change in energy divided by the causing force. Partial derivatives are needed to relate causing forces and resulting displacements to the change in energy. Castigliano's first theorem – for forces in an elastic structureCastigliano's method for calculating forces is an application of his first theorem, which states:If the strain energy of an elastic structure can be expressed as a function of generalised displacement qi; then the partial derivative of the strain energy with respect to generalised displacement gives the generalised force Qi.In equation form,where U is the strain energy. Castigliano's second theorem – for displacements in a linearly elastic structure.Castigliano's method for calculating displacements is an application of his second theorem, which states:If the strain energy of a linearly elastic structure can be expressed as a function of generalised force Qi; then the partial derivative of the strain energy with respect to generalised force gives the generalised displacement qi in the direction of Qi.As above this can also be expressed as:".
- Castigliano's_method wikiPageExternalLink Castigliano.27s_theorems.
- Castigliano's_method wikiPageExternalLink Castigliano.html.
- Castigliano's_method wikiPageExternalLink article.php?sid=1008&mode=&order=0.
- Castigliano's_method wikiPageExternalLink translate?prev=hp&hl=en&js=y&u=http%3A%2F%2Fwww.matheplanet.com%2Fmatheplanet%2Fnuke%2Fhtml%2Farticle.php%3Fsid%3D1008%26mode%3D%26order%3D0%26ref%3Dhttp%253A%252F%252Fen.wikipedia.org%252Fwiki%252FCastigliano%2527s_method%26f%3D1%26ff%3Dy%26rd3%3D1&sl=de&tl=en&history_state0=.
- Castigliano's_method wikiPageID "3289152".
- Castigliano's_method wikiPageRevisionID "594840162".
- Castigliano's_method hasPhotoCollection Castigliano's_method.
- Castigliano's_method subject Category:Structural_analysis.
- Castigliano's_method comment "Castigliano's method, named for Carlo Alberto Castigliano, is a method for determining the displacements of a linear-elastic system based on the partial derivatives of the Energy principle structures, he is known for his two theorems. The basic concept may be easy to understand by recalling that a change in energy is equal to the causing force times the resulting displacement. Therefore, the causing force is equal to the change in energy divided by the resulting displacement.".
- Castigliano's_method label "Castigliano's method".
- Castigliano's_method label "Método de Castigliano".
- Castigliano's_method label "Satz von Castigliano".
- Castigliano's_method label "Teorema di Castigliano".
- Castigliano's_method label "Teoremas de Castigliano".
- Castigliano's_method label "Théorème de Castigliano".
- Castigliano's_method label "Twierdzenie Castigliano".
- Castigliano's_method label "カスチリアノの定理".
- Castigliano's_method label "卡氏定律".
- Castigliano's_method sameAs Satz_von_Castigliano.
- Castigliano's_method sameAs Teoremas_de_Castigliano.
- Castigliano's_method sameAs Théorème_de_Castigliano.
- Castigliano's_method sameAs Teorema_di_Castigliano.
- Castigliano's_method sameAs カスチリアノの定理.
- Castigliano's_method sameAs 카스틸리아노의_정리.
- Castigliano's_method sameAs Twierdzenie_Castigliano.
- Castigliano's_method sameAs Método_de_Castigliano.
- Castigliano's_method sameAs m.093kb3.
- Castigliano's_method sameAs Q858978.
- Castigliano's_method sameAs Q858978.
- Castigliano's_method wasDerivedFrom Castigliano's_method?oldid=594840162.
- Castigliano's_method isPrimaryTopicOf Castigliano's_method.