Analysis was conducted on the stress and deflection calculations of circularly curved beams in civil buildings under uniformly distributed loads. Formulas were proposed based on straight beam formulas but modified to agree with the results of curved beams. The proposed equations are applicable to beams with subtended angles ≤ 30°, where the upper flange is connected to a reinforced concrete slab, ensuring composite action between the steel beam and slab, and the upper flange exhibits negligible lateral displacement. Comparisons with exact solutions showed that the proposed formulas were on the safe side, particularly when the subtended angle was 15°.