In this study, we designed five fiber-reinforced concrete (FRC) frames and three reinforced concrete frames with different ratios of column-to-beam flexural strength (η_c-bua) and determined their failure modes and fragility curves using the pushover and increment dynamic analysis methods and the capacity evaluation software Perform-3D. The results show improved deformation and bearing capacities of FRC frames in which FRC is used at the beam and column ends, and that the deformation capacity of FRC frames increased over a greater range than the structural bearing capacity. The η_c-bua has a great effect on the failure mechanism of FRC frames. The η_c-bua also has some effect on the structural seismic response of the FRC frame, whereby the greater is its value, the lower is the probability of exceedance, which becomes more obvious when the expected failure is more serious. The collapse probability is less than 10 percent, which satisfies the requirement of the seismic design code for buildings when the η_c-bua value is greater than 1.2.