Recycled aggregate concrete (RAC) is entering into structural design codes such as the new Eurocode 2. However, serviceability limit state (SLS) behavior of RAC, especially deflections, can be significantly greater than for natural aggregate concrete. Proposals for deflection control of RAC exist, but there still have not been significant studies on their implications for SLS design. In this paper, a comprehensive numerical parametric study on the sustained service‐load deflections of reinforced RAC slabs and beams is described. First, a concrete material model for the time‐dependent analysis of reinforced concrete structures is described, validated, and calibrated, incorporating fib Model Code 2010 creep and shrinkage models in the OpenSees structural analysis program. Then, service‐load deflection analyses are conducted on RAC one‐way slabs and T‐beams considering the amount of coarse recycled concrete aggregate (RCA), concrete strength class, element height, span, statical system, relative humidity, and quasi‐permanent load‐to‐design load ratio. The results show that RCA begins to have an appreciable effect on deflections only for coarse aggregate replacement percentages above 25%. At 50% replacement, the maximum spans to satisfy deflection limits can be considerably reduced; however, these reductions are smaller for T‐beams and higher class concrete. The results confirm the versatility of the numerical model, as well as the applicability and limitations of RAC in SLS design.