Computing the kern of a general cross-section
The kern of a cross-section is the convex region within which any point load applied will produce stresses of the same sign as that of the load throughout the entire cross-section. Based on theorems of Mofid and Yavari [Int. J. Solids Struct. 31 (1998) 2377], an algorithm is presented that can compute the kern of any cross-section numerically. We have developed a program based on this algorithm. A few examples are solved using this program. The results are compared with those of Wilson and Turcotte [Adv. Engng Software 17 (1993) 113] and Mofid and Yavari and excellent agreement is observed.
core bending cross-section