A rigid structural member designed to carry and transfer transverse loads across space to supporting elements
BEAM
The extent of space between two supports of a structure. Also, the structure so supported
SPAN
the distance between the inner faces of the supports of a span
CLEAR SPAN
the center-to-center distance between the supports of a span
EFFECTIVE SPAN
An external moment tending to cause part of a structure to rotate or bend, equal to the algebraic sum of the moments about the neutral axis of the section under consideration
BENDING MOMENT
The perpendicular distance a spanning member deviates from a true course under transverse loading, increasing with load and span, and decreasing with an increase in the moment of inertia of the section or the modulus of elasticity of the material
DEFLECTION
An internal moment equal and opposite to a bending moment, generated by a force couple to maintain equilibrium of the section being considered
RESISTING MOMENT
A slight convex curvature intentionally built into a beam, girder, or truss to compensate for an anticipated deflection
CAMBER
An imaginary line passing through the centroid of the cross section of a beam or other member subject to bending, along which no bending stresses occur
NEUTRAL AXIS
A combination of compressive and tensile stresses developed at a cross section of a structural member to resist a transverse force, having a maximum value at the surface furthest from the neutral axis
BENDING STRESS
A shear force at a cross section of a beam or other member subject to bending equal to the algebraic sum of transverse forces on one side of the section
TRANSVERSE SHEAR
The shearing stress developed along a cross section of a beam to resist transverse shear, having a maximum value at the neutral axis and decreasing nonlinearly toward the outer faces
VERTICAL SHEARING STRESS
the shearing stress developed to prevent slippage along horizontal planes of a beam under transverse loading, equal at any point to the vertical shearing stress at that point.
HORIZONTAL SHEARING STRESS Or LONGITUDINAL SHEARING STRESS
A formula defining the relationship between bending moment, bending stress, and the cross-sectional properties of a beam. Bending stress is directly proportional to bending moment and inversely proportional to the moment of inertia of a beam section
FLEXURE FORMULA
It is a geometric property that indicates how the cross-sectional area of a structural member is distributed and does not reflect the intrinsic physical properties of a material
MOMENT OF INERTIA
the buckling of a structural member induced by compressive stresses acting on a slender portion insufficiently rigid in the lateral direction
LATERAL BUCKLING
At which part of the beam where only bending stresses exist?
at the extreme surfaces of a beam
the tensile and compressive stresses resulting from the interaction of bending and shear stresses at a cross section of a beam
PRINCIPAL STRESSES
At which part of the beam where only shear stresses exist?
at the neutral axis
the point in the cross-sectional plane of a structural member through which a transverse load must pass in order to prevent torsion or twisting of the member about a longitudinal axis
SHEAR CENTER
A beam resting on simple supports at both ends, which are free to rotate and have no moment resistance. AS with any statically determinate structure, the values of all reactions, shears, and moments for a this type of beam are independent of its cross-sectional shape and material
SIMPLE BEAM
A projecting beam supported at only one fixed end
CANTILEVER BEAM
A graphic representation of the variation in magnitude of the external shears present in a structure for a given set of transverse loads and support conditions
SHEAR DIAGRAM
A graphic representation of the variation in magnitude of the bending moments present in a structure for a given set of transverse loads and support conditions. the overall deflected shape of a structure subject to bending can often be inferred from the shape of the diagram
MOMENT DIAGRAM