In the past decades, the optimized design of light source array by use of multi-bend achromat has been considered to achieve high-quality photon beam for fundamental researches in different areas of science and technology. In this paper, we investigate a lattice design for a low emittance storage ring with intermediate energy of 3.5 GeV . We present the design results in detail for a five-bend achromat lattice with an emittance of 230 pm-rad, appropriate dynamic aperture, high brilliance photons near soft X-ray diffraction limited, the total lifetime of 11 hours and circumference of 448 m contains 20 straight sections of 6.1 meters in length. The results of closed orbit correction and misalignments errors on the dynamic aperture were also presented. The lattice provides sufficient dynamic aperture after closed orbit distortion correction. Furthermore, the variation of the emittance due to coupling and intra-beam scattering (IBS) effect has been calculated as a function of the energy and length of the bunch. Our designed storage ring shows an optimized five-bend achromat lattice for intermediate light sources.