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Euler–Bernoulli beam theory (also known as engineer's beam theory or classical beam theory) [ 1] is a simplification of the linear theory of elasticity which provides a means of calculating the load-carrying and deflection characteristics of beams. It covers the case corresponding to small deflections of a beam that is subjected to lateral ...
Section modulus is a geometric property for a given cross-section used in the design of beams or flexural members. Other geometric properties used in design include area for tension and shear, radius of gyration for compression, and second moment of area and polar second moment of area for stiffness. Any relationship between these properties is ...
An I-beam used to support the first floor of a house. An I-beam is any of various structural members with an I - or H -shaped cross-section. Technical terms for similar items include H-beam, I-profile, universal column ( UC ), w-beam (for "wide flange"), universal beam ( UB ), rolled steel joist ( RSJ ), or double-T (especially in Polish ...
Beam (structure) A statically determinate beam, bending (sagging) under a uniformly distributed load. A beam is a structural element that primarily resists loads applied laterally across the beam's axis (an element designed to carry a load pushing parallel to its axis would be a strut or column). Its mode of deflection is primarily by bending ...
For a 3-point test of a rectangular beam behaving as an isotropic linear material, where w and h are the width and height of the beam, I is the second moment of area of the beam's cross-section, L is the distance between the two outer supports, and d is the deflection due to the load F applied at the middle of the beam, the flexural modulus: [1]
ASTM A992 steel is a structural steel alloy often used in the US for steel wide-flange and I beams. Like other carbon steels, the density of ASTM A992 steel is approximately 7850 kg/m 3 (0.2836 lb/in 3 ). ASTM A992 steel has the following minimum mechanical properties, according to ASTM specification A992/A992M.
Deflection (engineering) In structural engineering, deflection is the degree to which a part of a long structural element (such as beam) is deformed laterally (in the direction transverse to its longitudinal axis) under a load. It may be quantified in terms of an angle ( angular displacement) or a distance (linear displacement ).
Bending stiffness. The bending stiffness ( ) is the resistance of a member against bending deflection/deformation. It is a function of the Young's modulus , the second moment of area of the beam cross-section about the axis of interest, length of the beam and beam boundary condition. Bending stiffness of a beam can analytically be derived from ...