Symmetrical bending refers to a type of deformation in materials where the bending occurs uniformly about a central axis, producing equal deflections on either side. This results in a symmetrical shape, often resembling a simple curve, such as a circular arc. In engineering and materials science, symmetrical bending is important for analyzing the behavior of beams and other structural elements under load, ensuring even distribution of stress and strain. It contrasts with asymmetrical bending, where the deflection is uneven, leading to different stress distributions.
Symmetrical bending occurs when a beam is loaded uniformly along its length, resulting in bending stresses that are equal on both sides of the beam's neutral axis. Unsymmetrical bending occurs when a beam is loaded unevenly, causing different magnitudes of bending stress on opposite sides of the beam's neutral axis.
Assumptions The beam is symmetrical about Y-Y The traverse plane sections remain plane and normal to the longitudinal fibres after bending (Beroulli's assumption) The fixed relationship between stress and strain (Young's Modulus)for the beam material is the same for tension and compression ( σ= E.e )
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