The presence of only a non-imaginary band ensures the dynamic stability of the p-BCN monolayer. After confirming the equilibrium structural properties of p-BCN, it's crucial to test the structural properties at different strain conditions because the strain is unavoidable in material growth and processing . The biaxial strain ( ) is applied within the harmonic range -6% to 6% at the step of 2% by varying a and b at an equal rate. The strain versus strain energy (Fig. ) profile demonstrates the range of compressive and tensile equi-biaxial strain. For each iteration of strain, the atomic positions are fully optimized to make favorable arrangements of atoms. The monolayer is chemically stable within this range which is illustrated by calculating the cohesive energy ( Fig. ) at each value of strain. These calculations indeed confirm that the strain-free system is the most stable. The magnitude of cohesive energy decreases slightly while applying the strain.