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Statically indeterminate information


In statics and structural mechanics, a structure is statically indeterminate when the equilibrium equations – force and moment equilibrium conditions – are insufficient for determining the internal forces and reactions on that structure.[1][2]

  1. ^ Matheson, James Adam Louis (1971). Hyperstatic structures: an introduction to the theory of statically indeterminate structures (2nd ed.). London: Butterworths. ISBN 0408701749. OCLC 257600.
  2. ^ Megson, Thomas Henry Gordon (2014). "Analysis of statically indeterminate structures". Structural and stress analysis (Third ed.). Amsterdam: Elsevier. pp. 489–570. ISBN 9780080999364. OCLC 873568410.

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Statically indeterminate

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In statics and structural mechanics, a structure is statically indeterminate when the equilibrium equations – force and moment equilibrium conditions –...

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Indeterminate

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performance is determined by chance Statically indeterminate, in statics, describing a structure for which the static equilibrium equations are insufficient...

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Mechanical equilibrium

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equilibrium or not. This makes it a statically indeterminate system. A stationary object (or set of objects) is in "static equilibrium," which is a special...

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Fixed end moment

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both ends fixed is statically indeterminate to the 3rd degree, and any structural analysis method applicable on statically indeterminate beams can be used...

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Christian Otto Mohr

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strength of materials. In 1874, Mohr formalised the idea of a statically indeterminate structure. Mohr was an enthusiast for graphical tools and developed...

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Structural engineering theory

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intersections. A statically determinate structure can be fully analysed using only consideration of equilibrium, from Newton's Laws of Motion. A statically indeterminate...

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Moment distribution method

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moment distribution method is a structural analysis method for statically indeterminate beams and frames developed by Hardy Cross. It was published in...

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Truss

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Trusses that are supported at more than two positions are said to be statically indeterminate, and the application of Newton's Laws alone is not sufficient to...

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Hardy Cross

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developer of the moment distribution method for structural analysis of statically indeterminate structures. The method was in general use from c. 1935 until c...

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Moment redistribution

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Moment redistribution refers to the behavior of statically indeterminate structures that are not completely elastic, but have some reserve plastic capacity...

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Indeterminacy

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in computation (disambiguation) Indeterminate system Aleatoric music and indeterminacy in music Statically indeterminate Underdetermined system In set theory...

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Direct stiffness method

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computer-automated analysis of complex structures including the statically indeterminate type. It is a matrix method that makes use of the members' stiffness...

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Flexibility method

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found immediately from (3) provided that the system is stable. For statically indeterminate systems, M > N, and hence, we can augment (3) with I = M−N equations...

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Solid mechanics

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work as a special case 1874: Otto Mohr formalized the idea of a statically indeterminate structure. 1922: Timoshenko corrects the Euler–Bernoulli beam equation...

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Hardy Cross method

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also developed by Hardy Cross as a way to determine the forces in statically indeterminate structures. The introduction of the Hardy Cross method for analyzing...

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Arch

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stress from thermal expansion and contraction, this kind of arch is statically indeterminate (the internal state is impossible to determine based on the external...

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Structural engineering

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work" as a special case. 1874: Otto Mohr formalized the idea of a statically indeterminate structure. 1922: Timoshenko corrects the Euler–Bernoulli beam equation...

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Continuous truss bridge

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challenges slowed their widespread adoption: Continuous trusses are statically indeterminate, which made it very laborious to calculate the stresses in the...

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Slope stability analysis

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between adjacent slices constrain each slice and make the problem statically indeterminate when they are included in the computation. For the ordinary method...

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Hinged arch bridge

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it is statically determinate; a two-hinged bridge is statically indeterminate in one degree of freedom, while a fixed arch bridge is indeterminate in three...

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Plastic bending

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significantly change the internal load distribution, particularly in statically indeterminate beams. The internal load distribution associated with the deformed...

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Conjugate beam method

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neglecting axial forces, statically determinate real beams have statically determinate conjugate beams; and statically indeterminate real beams have unstable...

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Howe truss

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bolted to every third tie. The inner truss of a Howe truss is statically indeterminate. There are two paths for stress during loading, a pair of diagonals...

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Slope deflection method

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shear equilibrium conditions need to be taken into account. The statically indeterminate beam shown in the figure is to be analysed. Members AB, BC, CD...

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Truss bridge

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were not very common before the mid-20th century because they are statically indeterminate, which makes them difficult to design without the use of computers...

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