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Theorem Of Three Moments
In civil engineering and structural analysis Clapeyron's theorem of three moments is a relationship among the bending moments at three consecutive supports of a horizontal beam. Let ''A,B,C-D be the three consecutive points of support, and denote by- ''l'' the length of ''AB'' and l' the length of ''BC'', by ''w'' and w' the weight per unit of length in these segments. Then the bending moments M_A,\, M_B,\, M_C at the three points are related by: :M_A l + 2 M_B (l+l') +M_C l' = \frac w l^3 + \frac w' (l')^3. This equation can also be written as :M_A l + 2 M_B (l+l') +M_C l' = \frac + \frac where ''a''1 is the area on the bending moment diagram due to vertical loads on AB, ''a''2 is the area due to loads on BC, ''x''1 is the distance from A to the centroid of the bending moment diagram of beam AB, ''x''2 is the distance from C to the centroid of the area of the bending moment diagram of beam BC. The second equation is more general as it does not require that the weight of eac ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Structural Analysis
Structural analysis is a branch of Solid Mechanics which uses simplified models for solids like bars, beams and shells for engineering decision making. Its main objective is to determine the effect of loads on the physical structures and their components. In contrast to theory of elasticity, the models used in structure analysis are often differential equations in one spatial variable. Structures subject to this type of analysis include all that must withstand loads, such as buildings, bridges, aircraft and ships. Structural analysis uses ideas from applied mechanics, materials science and applied mathematics to compute a structure's deformations, internal forces, stresses, support reactions, velocity, accelerations, and stability. The results of the analysis are used to verify a structure's fitness for use, often precluding physical tests. Structural analysis is thus a key part of the engineering design of structures. [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Settlement (structural)
Settlement in a structure refers to the distortion or disruption of parts of a building due to * unequal compression of its foundations; * shrinkage, such as that which occurs in timber-framed buildings as the frame adjusts its moisture content; or * undue loads being applied to the building after its initial construction. Settlement should not be confused with subsidence which results from the load-bearing ground upon which a building sits reducing in level, for instance in areas of mine workings where shafts collapse underground. Some settlement is quite normal after construction has been completed, but unequal or differential settlement may cause significant problems for buildings. Traditional green oak-framed buildings are designed to settle with time as the oak seasons and warps, lime mortar rather than Portland cement is used for its elastic properties and glazing will often employ small leaded lights which can accept movement more readily than larger panes. See also * Soi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Structural Analysis
Structural analysis is a branch of Solid Mechanics which uses simplified models for solids like bars, beams and shells for engineering decision making. Its main objective is to determine the effect of loads on the physical structures and their components. In contrast to theory of elasticity, the models used in structure analysis are often differential equations in one spatial variable. Structures subject to this type of analysis include all that must withstand loads, such as buildings, bridges, aircraft and ships. Structural analysis uses ideas from applied mechanics, materials science and applied mathematics to compute a structure's deformations, internal forces, stresses, support reactions, velocity, accelerations, and stability. The results of the analysis are used to verify a structure's fitness for use, often precluding physical tests. Structural analysis is thus a key part of the engineering design of structures. [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Moment Diagram
Moment or Moments may refer to: * Present time Music * The Moments, American R&B vocal group Albums * ''Moment'' (Dark Tranquillity album), 2020 * ''Moment'' (Speed album), 1998 * ''Moments'' (Darude album) * ''Moments'' (Christine Guldbrandsen album) * ''Moments'' (Mark Holden album), 1995 * ''Moments'' (Leo Ku album) * ''Moments'' (Barbara Mandrell album) * ''Moments'' (Andrew Rayel album) * ''Moments'' (Boz Scaggs album) Songs * "Moment" (Blanche song) (2018) * "Moment" (SMAP song) (2012) * "Moment", a song by Aiden from '' Conviction'' * "Moment", a 2014 song by Young Money from '' Young Money: Rise of an Empire'', featuring Lil Wayne * "Moments" (Hans Bollandsås song) (2010) * "Moments" (Emerson Drive song) (2007) * "Moments" (Ayumi Hamasaki song) (2004) * "Moments" (Tove Lo song) (2014) * "Moments" (One Direction song) (2011) * "Moments" (Freddy Verano song) * "Moments", a song by Westlife from '' Westlife'' Film and television * ''Moment'' (film), a 197 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Elasticity (physics)
In physics and materials science, elasticity is the ability of a body to resist a distorting influence and to return to its original size and shape when that influence or force is removed. Solid objects will deform when adequate loads are applied to them; if the material is elastic, the object will return to its initial shape and size after removal. This is in contrast to ''plasticity'', in which the object fails to do so and instead remains in its deformed state. The physical reasons for elastic behavior can be quite different for different materials. In metals, the atomic lattice changes size and shape when forces are applied (energy is added to the system). When forces are removed, the lattice goes back to the original lower energy state. For rubbers and other polymers, elasticity is caused by the stretching of polymer chains when forces are applied. Hooke's law states that the force required to deform elastic objects should be directly proportional to the distance of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Deflection Curve Of A Continuous Beam
Deflection or deflexion may refer to: Board games * Deflection (chess), a tactic that forces an opposing chess piece to leave a square * Khet (game), formerly ''Deflexion'', an Egyptian-themed chess-like game using lasers Mechanics * Deflection (ballistics), shooting ahead of a moving target so that the target and projectile will collide * Deflection (engineering), the displacement of a structural element under load * Deflection (physics), the event where an object collides and bounces against a plane surface Social sciences * Deflexion (linguistics), the degeneration of a language's inflectional system over time * Deflection (psychology), a defence mechanism Technologies * Deflection routing, a routing strategy for networks to reduce the need of buffering packets * Deflection yoke, a kind of magnetic lens used in cathode ray tubes * Electrostatic deflection, a technique for modifying the path of charged particles by the use of an electric field * Deflect.ca, a DDoS mitigat ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Compression (physical)
In mechanics, compression is the application of balanced inward ("pushing") forces to different points on a material or structure, that is, forces with no net sum or torque directed so as to reduce its size in one or more directions.Ferdinand Pierre Beer, Elwood Russell Johnston, John T. DeWolf (1992), "Mechanics of Materials". (Book) McGraw-Hill Professional, It is contrasted with tension or traction, the application of balanced outward ("pulling") forces; and with shearing forces, directed so as to displace layers of the material parallel to each other. The compressive strength of materials and structures is an important engineering consideration. In uniaxial compression, the forces are directed along one direction only, so that they act towards decreasing the object's length along that direction. The compressive forces may also be applied in multiple directions; for example inwards along the edges of a plate or all over the side surface of a cylinder, so as to reduce it ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Benoît Paul Émile Clapeyron
Benoît Paul Émile Clapeyron (; 26 January 1799 – 28 January 1864) was a French engineer and physicist, one of the founders of thermodynamics. Life Born in Paris, Clapeyron studied at the École polytechnique, graduating in 1818.Milton Kerker (1960Sadi Carnot and the Steam Engine Engineers Isis 51: 257–70 via JSTOR He also studied at École des mines. In 1820 he and Gabriel Lamé went to Saint Petersburg to teach and work at the school of public works there. He returned to Paris only after the Revolution of July 1830, supervising the construction of the first railway line connecting Paris to Versailles and Saint-Germain. The half brothers Stéphane Mony and Eugène Flachat collaborated in this project, which was financed by Adolphe d'Eichthal( fr), Rothschild, Auguste Thurneyssen, Sanson Davillier and the Péreire brothers. Clapeyron took his steam engine designs to England in 1836 to find a manufacturer and engaged Sharp, Roberts and Co. From 1844 to 1859 Cla ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Beam (structure)
A beam is a structural element that primarily resists Structural load, loads applied laterally to the beam's axis (an element designed to carry primarily axial load would be a strut or column). Its mode of Deflection (engineering), deflection is primarily by bending. The loads applied to the beam result in reaction forces at the beam's support points. The total effect of all the forces acting on the beam is to produce shear forces and bending moments within the beams, that in turn induce internal stresses, strains and deflections of the beam. Beams are characterized by their manner of support, profile (shape of cross-section), equilibrium conditions, length, and their material. Beams are traditionally descriptions of building or civil engineering structural elements, where the beams are horizontal and carry vertical loads. However, any structure may contain beams, for instance automobile frames, aircraft components, machine frames, and other mechanical or structural systems. In th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
