Structures that transform solar energy into electricity have found widespread use in life and engineering, particularly in nanoscale technologies. The study of the mechanical behavior of these structures is crucial for their optimal design, use, and application. This work presents for the first time an analytical solution to the problem of specific stability and vibration of organic nanobeams in the temperature environment, where the beam is calculated based on the theory of sine-shaped shear strain, which has many benefits, such as simple calculation and no need for a shear correction factor. This work also used nonlocal theory to estimate for the first time, where the nonlocal parameter varies in each nanobeam thickness layer, in contrast to previous related research (usually considering the nonlocal is constant in thickness). Additionally, the study explores the effect of certain geometrical and temperature parameters on organic nanobeams' specific stability and vibration responses. This research also demonstrates that the temperature affects both the load capacity (for the buckling issue) and the natural frequency of organic nanobeams. This is the scientific foundation for their design and practical applications. [ABSTRACT FROM AUTHOR]