Two pieces of wood blocks ABCD and CDEF are joined together

Two pieces of wood blocks, ABCD and CDEF are joined together using super glue. The joint is inclined at an angle of 30 degree with the horizontal as shown below. You as an engineer have been asked by your manager to determine the state of stress (normal and shear) in the block at two ends and, using Mohr\'s circle, on the inclined plane. ii. Looking at your stress values, the manager claims that the procedure is wrong. In your opinion, what are the possible reasons for his statement?

Solution

mohrs circle named after christin otto mohr, is a two-dimensional graphical re[resentation of the transormation law for the cauchy stress tensor. after performing a stress analysis on a material body assumed as a continuum,the components of the cauchy stress tensor at a particular material point are known with respect to a coordinate system. the mohr circle is the used to determine graphically the stress componentsacting on a rotated coordinate system, acting on a differently oriented plane passing through that point.

the abscissa,of each point on the circle are the magnitudes of the normal stress and shear stress components, respectively,acting on the rotated coordinate system.