A nonlinear description of the structural behavior of structures is a crucial subject that must be addressed. In such problems, collapse failure may occur due to strain localization phenomena. This issue can be evaluated using nonlinear theories, such as Lumped Damage Mechanics (LDM). LDM models have demonstrated high accuracy in solving various nonlinear problems, including reinforced concrete and fiber-reinforced concrete frames, two-dimensional problems (under in-plane loads), and reinforced concrete slabs. Since steel fiber-reinforced concrete (SFRC) is a widely used composite material applied in various structures, it is paramount to develop nonlinear models to assess its structural behavior. Therefore, this paper presents a study of an LDM model applied to SFRC plates under bending, where the finite element known as the constant moment triangle is used. All inelastic effects are lumped at the element’s edges by hinge lines. For the analyzed examples, the numerical results agree with experimental observations.