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In this research, we have studied the deformation of the 2D reinforced concrete beam under the applied distributed forces. Modern construction is unthinkable without the use of reinforced concrete structures. Reinforced concrete is believed to be one of the most economical, reliable, and durable materials. Also, reinforced concrete is fire and weather resistant, sound-dead. In addition, reinforced concrete is one of the most environmentally friendly building materials, because all its components are of natural origin. Most of the softwares which are used to make numerical simulation in engineering give mesh-dependent results. So, the purpose of this work is to present a method which allows running the simulation with the mesh-independent result. For this, we use the strain gradient theory and select the characteristic length L of the 2D model to avoid mesh-dependent simulation. In this case material properties depend not only on the Lamé parameters but also contain additional coefficients, called gradient coefficients. In the second part of the work, we found the equivalent Young’s modulus when the characteristic length is zero.