User`s guide
92
maximum tensile force occurs at the upper most edge. The equation for determining the bending
stress is
where M is the applied moment, c is the distance from the neutral axis to the outer fiber
of the beam, and I is the moment of inertia. The derivation of Eq.1 is shown in Appendix A.
The maximum bending stress in a beam is
where t is the thickness of the beam.
Hooke’s law describes the relationship between stress and induced strains for linear
elastic materials.
where E is the elastic modulus of the beam’s material.
Deflection is the degree to which a structural element is displaced under a load; it may
refer to an angle or a distance. As shown in Figure 24, on the neutral axis of a beam subjected to
bending, for a very small angle, slope of the beam
. The curvature of a beam is
defined as
; is the radius of the curve. Since is small,. Therefore we have
Eq.1
Eq.3
Eq.4
Eq.2