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what is difference between deteminate and indeterminate beam?

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  • Ashish
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  • 4 Answers
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4 Answers

  • Determinacy and indeterminacy refer to the stability and structural behavior of a beam or structure.br /Determinacy: A beam is determinate when its reactions and internal forces can be calculated using equilibrium equations alone. In a determinate beam, the number of unknown support reactions is equal to the number of equilibrium equations that can be applied. Determinate beams are easier to analyze.br /Indeterminacy: An indeterminate beam has more unknown support reactions than the available equilibrium equations can solve. It requires additional equations, such as compatibility equations or deformation equations, to determine the internal forces and reactions. Analyzing indeterminate beams is more complex and often involves techniques like the method of virtual work or the slope-deflection method.br /The classification of beams as determinate or indeterminate depends on their support conditions and loading.

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  • Determinate structures :br /These Structures are analysed just by the use of basic equilibrium equations. By this analysis, the unknown reactions are found for the further determination of stresses.br /E.g: simply supported beams, cantilever beams, single and double overhanging beams, three hinged arches, etcbr /br /br /Redundant or indeterminate structures :br /These Structures are not capable of being analysed by mere use of basic equilibrium equations. Along with the basic equilibrium equations, some extra conditions are required to be used like compatibility conditions of deformations etc to get the unknown reactions for drawing bending moment and shear force diagramsbr /E.g: fixed beams, continuous beams, fixed arches, two hinged arches, portals, multistoried frames, etc.

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  • strongDeterminate structures/strong are analysed just by the use of basic equilibrium equations. By this analysis, the unknown reactions are found for the further determination of stressesstrong.br /E.g: /strongsimply supported beams, cantilever beams, single and double overhanging beams, three hinged arches, etcbr /br /br /strongRedundant or indeterminate structures/strong are not capable of being analysed by mere use of basic equilibrium equations. Along with the basic equilibrium equations, some extra conditions are required to be used like strongcompatibility conditions/strong of deformations etc to get the unknown reactions for drawing strongbending moment and shear force diagramsbr /E.g: /strongfixed beams, continuous beams, fixed arches, two hinged arches, portals, multistoried frames, etc.

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  • strongDeterminate structures/strong are analysed just by the use of basic equilibrium equations. By this analysis, the unknown reactions are found for the further determination of stressesstrong. Redundant or indeterminate structures/strong are not capable of being analysed by mere use of basic equilibrium equations

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