Wireless sensor and actuator networks (WSAN) are real-time systems which demand timing requirements. To ensure this level of requirements, different timing analysis approaches have been proposed for WSAN systems. Among different alternatives, analytical analysis and model checking approaches are two common ones which are widely used for the timing analysis of WSAN systems. Analytical approaches apply worst-case response time analysis techniques, whereas model checking generates explicit states of models to analyze them. In this paper, we develop schedulability analysis techniques based on two approaches, i.e., analytical and model checking approaches. We apply and compare the proposed analysis approaches on WSAN systems with an application in monitoring and control of civil infrastructures implemented on the Imote2 wireless sensor platform. We show that the highest possible data acquisition frequency for this application is computed while meeting the deadlines, and compare the results of the two approaches in terms of scalability, extensibility, and flexibility.