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sisvu:description Indeksni zapis, skalari, vektori i tenzori. Transformacija komponenata naprezanja. Jednadžbe ravnoteže. Pomak i deformacija. Transformacija komponenata deformacije. Uvjet kompatibilnosti. Konstututivne jednadžbe. Hookeov zakon za ortotropne i izotropne materijale. Ravninska teorija elastičnosti u pravokutnim i polarnim koordinatama. Naprezanja u gredama, koncentracija naprezanja, naprezanja u klinovima. Savijanje kružnih prstenova. Osnovni pojmovi geometrije ploha. Membranska naprezanja u osnosimetričnim ljuskama. Sferni spremnici, torusne ljuske, sferne i stožaste kupole itd. Savijanje cilindričnih ljuski. Kratke i druge ljuske. Funkcije Krylova. Uplivni koeficijenti. Približna teorija savijanja strmih osnosimetirčnih ljuski. Analiza tankostjenih konstrukcija kao sto su spremnica cijevovodi, prirubnice, poklopci itd. (hr)
sisvu:description Index notation, scalars, vectors and tensors. Transformation of stress components, equations of motion, equilibrium equations. Displacements and strains. Compatibility conditions. Constitutive equations. Hookés law for isotropic and orthotropic materials. Elements of plane theory of elasticity. Airy's stress function. Biharmonic differential equation in Cartesian and polar coordinate systems. Stresses in rectangular beams. Stress concentration. Analysis of stress in wedges. Bending of circular rings. Bending of circular plates. Bending of plates in rectangular coordinates. Introduction to surface geometry. Membranes stresses in the shells of revolution. Bending of axially symmetric circular shells. Bending of short circular shells. Approximate solution of bending of steep axially symmetric shells. Applications to thin-walled structures such as pressure vessels, containers, domes, flanges etc. (en)
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