Concrete is a durable and resilient material that can withstand substantial damage and decay. The durability of a concrete ceiling is often extensive, requiring little maintenance or repairs. Concrete has the capacity to be molded and reshaped into a wide variety of shapes, allowing architects and designers the liberty to create unique and attractive ceiling designs. This research provides practical suggestions for improving the effectiveness and durability of transient elastodynamics in concrete ceilings that are reinforced with nano-materials. Nano-materials are often used in building construction because of their many benefits. To accurately model the concrete structure reinforced by nanocomposites, a new mathematical simulation is introduced in this study. The simulation utilizes the Halpin-Tsai method, stress-strain relation in linear poroelasticity for the composite layer, considers the function of mixing, and incorporates Hamilton’s principle. The objective is to achieve an accurate representation of the concrete structure. The governing equations of the time-dependent mathematical simulation are solved using Newmark’s time integration method, an isogeometric approach (IGA), and NURBS functions as the basis functions. The current study’s results compared to the published article in the literature showcase the accuracy of the mathematical simulation and solution approach. Incorporating nanoparticles into the concrete ceiling may ultimately improve the efficiency of this kind of construction, especially when exposed to high external transient stresses.