Mechanics Of Materials 2 [BEST]
: Detailed study of transverse shear, beam deflections, and the design of shafts.
A more general method: Imagine a virtual, infinitesimal displacement. The work done by real forces during this virtual displacement equals the internal virtual strain energy. This is immensely powerful for statically indeterminate structures. mechanics of materials 2
: Application of Castigliano’s methods and the moment-area method for finding deflections. : Detailed study of transverse shear, beam deflections,
Failure occurs when $\tau_max \ge \tau_yield$ (which is $S_y/2$ in tension). $\sigma_1 - \sigma_3 = S_y$ Conservative, widely used for pressure vessels. : Detailed study of transverse shear
The deflection $\Delta_i$ at a point in the direction of a force $P_i$ equals the partial derivative of the total strain energy with respect to that force: