1. A computational model is proposed, and a general solution is obtained for equations describing the process of the impact testing of specimens in concentrated bending in the presence of supports, where the effect of the striker and support on the specimen is represented as the reaction of springs with flexibilities β and\(\tilde \beta \), respectively. 2. The general solution for each of the force parameters assumes the form of the sum of two harmonic functions and a function that is linearly time-dependent. For large time values, therefore, the vibratory processes become negligibly small; this makes it possible to use the quasistatic approach, whose accuracy is proportional to the time to failure, to determine KId. 3. Experimental confirmation of the solutions obtained suggests that disregard of the flexibilities of the specimen halves in the computational model (shoulders of specimen) leads to a reduction in the computed vibration amplitude and period as compared with the experimental. The difference between the theoretical and experimental results increases as the ratio L/Lo increases and the ratio a/W decreases.