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The purpose of this paper is to employ analytical and numerical techniques to generate modal displacement data of damaged beams containing very small crack-like surface flaws or slots and to use the data in the development of damage detection methodology. The detection method involves the use of double differentiation of the modal data for identification of the flaw location and magnitude.

The modal displacements of damaged beams are simulated analytically using the Bernoulli-Euler theory and numerically using the finite element method. The principle used in the analytical approach is based on changes in the transverse displacement due to the localized reduction of the flexural rigidity of the beam. Curvature analysis is employed to identify and locate the structural flaws from the modal data. The curvature mode shapes are calculated using a central difference approximation. The effects of random noise on the detectability of the structural flaws are also computed.

The analytical approach is much more robust in simulating modal displacement data for beams with crack-like surface flaws or slots than the finite element analysis (FEA) approach especially for crack-like surface flaws or slots of very small depths. The structural flaws are detectable in the presence of random noise of up to 5 per cent.

Simulating the effects of small crack-like surface flaws is important because it is essential to develop techniques to detect cracks at an early stage of their development. The FEA approach can only simulate the effects of crack-like surface flaws or slots with depth ratio greater than 10 per cent. On the other hand, the analytical approach using the Bernoulli-Euler theory can simulate the effects of crack-like surface flaws or slots with depth ratio as small as 2 per cent.

In emergency departments, effective communication is of utmost importance to ensure the safety of patients. However, communicating can be quite challenging when dealing with high-stress situations. This study aims to assess the efficacy of coaching workshops, informed by a transtheoretical coaching model, in managing communication challenges perceived by emergency nurses and enhancing their communication skills.

The study involved seven emergency room nurses working at a public hospital in Morocco. The data were gathered through various instruments, including observation grids, interviews and pre- and post-test questionnaires.

The study identified prevalent challenges in communication among nurses, notably difficulties in accurately interpreting messages when faced with confrontational attitudes from colleagues or superiors. Additionally, some nurses exhibited asymmetrical communication patterns, prioritizing their own perspectives over others' during interactions. The findings revealed a statistically significant disparity between pre- and post-test scores (P = 0.017). The nurses’ mean score has improved by 5.14 after attending the four workshop coaching experience, passing from 5.71 in the pre-test to 10.85 in the post-test.

This is the first study in Morocco to evaluate the effectiveness of coaching workshops guided by a transtheoretical coaching model in improving communication skills and overcoming communication barriers among working emergency nurses.