ABSTRACT
In Section 8.14 we present the theory of mechanics of materials for prismatic members of solid or hollow (thin-or thick-walled) circular cross sections subjected to torsional moments. In Chapter 9 we present the theories of mechanics of materials for prismatic beams subjected to transverse forces and bending moments at their ends and/or along their length. These theories apply to beams of arbitrary simply or multiply connected cross sections. However, as discussed in Section 9.5, the theories of mechanics of materials can be used to compute directly the shearing components of stress acting on the cross sections of beams, only if their geometry is such, that we know a priori a direction along which the shearing component of stress, normal to that direction, may be considered constant. For example, formula (9.66) cannot be used directly to compute the shearing component of stress in a prismatic beam of hollow thin-walled cross sections, if its cross sections do not have an axis of symmetry and the plane of the transverse forces acting on the beam does not contain the axis of symmetry.
