One way to broadcast a popular video is to partition the video into segments, which are broadcasted on several streams periodically. The approach lets multiple users share streams; thus, the stress on the scarce bandwidth can be alleviated without sacrificing viewers' waiting time. One representative approach is the Fast Broadcasting (FB) scheme. The scheme does not obtain shortest waiting time but it can offer a more reliable video transmission on wireless networks. However, the scheme mainly supports transmission of CBR-encoded videos. In this paper, we propose a FB-based scheme for VBR-encoded videos. The scheme can smooth required bandwidth. From the simulation results, the SFB scheme has smaller required bandwidth, buffers, and disk transfer rate than the FB scheme. For a video, the maximum difference of its required bandwidth is less or equal to max(Bmaxi - B mini), where Bmaxi and B mini represent the maximum and minimum required bandwidth on stream i.