Transverse Strain
In figure shown, fibres are in compression above neutral surface or layer in longitudinal direction, so in transverse direction, fibres will elongate in transverse direction. Similarly, fibres below neutral surface are in tension in longitudinal direction, therefore, fibres will shorten in transverse direction due to Poisson’s effect.
Consequently, a rectangular section will be transformed into a trapezoidal shape as shown:
Axial strain εx below neutral axis = y/R (As per eq. (i))
Therefore, transverse strain below neutral axis = νy/R
where ν is Poisson’s ratio.
As the curvature is very small in transverse direction, therefore radius of curvature R1 is higher than radius of curvature R is longitudinal direction. The relation between R1 and R can be given as
R1 = R/ν
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