Find an approximate solution for the clamped circular orthotropic plate of radius "a" (see Problem 6.3) for a centrally located concentrated load. What is the ratio of maximum deflections between the orthotropic plate and the isotropic plate for the same coordinate function you have used?
Problem 6.3:
An orthotropic continuum has three planes of symmetry with respect to elastic properties. For plane stress, generalized Hooke's law for such a material is given as
![435_566e1886-9ecb-4091-b5e0-4eec91405a26.png](https://secure.tutorsglobe.com/CMSImages/435_566e1886-9ecb-4091-b5e0-4eec91405a26.png)
(Note there are four elastic moduli.) Formulate the equations of equilibrium as well as the boundary conditions for an orthotropic plate in terms of w using rectangular coordinates. Demonstrate that your equation degenerates to the case of the isotropic plate. Use whatever results of Sec. 6.3 that are valid for this case