Torsion of Multilayered Rectangular Section

An analytical method for determining the effective shear modulus of a multilayered rectangular member in uniform torsion is presented. The materials in the member are elastic and isotropic, and each layer is perfectly bonded to the adjacent layers. The particular case of a two-layered section is reviewed in detail. Effective shear moduli for the two-layered section are calculated for a range of geometric parameters and modular ratios, and are presented graphically. A simple approximate method of calculating the effective shear modulus for sections with either a large or a small width-to-depth ratio is given. Finally, the position and magnitude of the maximum shear stresses in each of the sections is investigated.