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For
a beam of uniform cross section that can be described by a second moment
of area, I, a neutral axis exists for pure bending and material at this
location experiences no tensile or compressive stress. Material on the
concave side of the neutral axis will experience a compressive stress,
and that on the convex side a tensile stress. These stresses have their
maximum values at the outer surfaces of the beam. If the radius of curvature
of the deformed beam is, r, and the moment required to establish this condition
is, M, then: r = (EI/M),
where I is the second moment of area (the geometric moment of inertia)
of the beam and, E, is Young's modulus. |
