Abstract Purpose The purpose of the present study is to discuss the impacts of rotation, inclined load, nonlocal parameter, and an empirical material constant on various physical variables of a fiber-reinforced thermoelastic medium. Methods The present problem was studied using the simple phase-lags (DPL) model. Using normal mode analysis, the precise expressions for the temperature, stress, and displacement components are found. Results Matlab software is used to do numerical computations. Comparisons are done between the outcomes obtained and those expected for various nonlocal parameter values, rotation, an empirical material constant, and inclined load. Conclusion The nonlocal parameter and rotation play a big part in how the physical fields are distributed. The distributions of the physical fields are significantly influenced by the inclined load and an empirical material constant.