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The neutral axis is an axis in the cross section of a beam ... Arches also have a neutral axis if they are made of stone; stone is an inelastic medium, and has little ...
In the beam equation, the variable I represents the second moment of area or moment of inertia: it is the sum, along the axis, of dA·r 2, where r is the distance from the neutral axis and dA is a small patch of area. It measures not only the total area of the beam section, but the square of each patch's distance from the axis.
Cracking of the concrete causes a migration of the neutral axis which is accompanied by in-plane expansion of the slab at its boundaries. If this natural tendency to expand is restrained, the development of arching action enhances the strength of the slab.
Here, is the distance from the neutral axis to a point of interest; and is the bending moment. Note that this equation implies that pure bending (of positive sign) will cause zero stress at the neutral axis, positive (tensile) stress at the "top" of the beam, and negative (compressive) stress at the bottom of the beam; and also implies that the ...
An evenly loaded beam, bending (sagging) under load. The neutral plane is shown by the dotted line. In mechanics, the neutral plane or neutral surface is a conceptual plane within a beam or cantilever. When loaded by a bending force, the beam bends so that the inner surface is in compression and the outer surface is in tension.
This observation is the basis of the I-beam cross-section; the neutral axis runs along the center of the web which can be relatively thin and most of the material can be concentrated in the flanges. The ideal beam is the one with the least cross-sectional area (and hence requiring the least material) needed to achieve a given section modulus .
The neutral line (also called the Neutral axis) is an imaginary profile that can be drawn through a cross-section of the workpiece that represents the locus where no tensile or compressive stress are present but shear stresses are at their maximum.
Q x, the first moment of area (aka statical moment) about the neutral axis x for the cross section of the structure above the depth in question I x, the second moment of area (aka moment of inertia) about the neutral axis x for the structure (a function only of the shape of the structure)