THE EXISTING EARLIEST OVERPASS AND CATENARY STONE AND ARCH BRIDGES Luo Guanzhou Ding Dajun (Highway Administration of ShaoxingRegion, (Nanjing Institute of Zhejiang Province, Shaoxing, 312000) Technology, Nanjing, 210096) 1. Simple Introduction According to the statistics at the end of 1993, there were 10610 bridges in Shaoxing Region, Zhejiang Province, China, so Shaoxing is called “ the Region of Ten-Thousand-Bridge”. Up to 1989, many bridges had been buried under soil, but many modern bridges have been completed. Following statistics, in Shaoxing County there are 3.43 bridges in every km2, as compared with Italian Vinice, there were 378 bridges before 2nd War in area of 567km2. It can be seen that the distribution density of bridges in the former was 5.2 times in the latter. Now, there are 604 ancient bridges and the most are stone ones, among which 13 ancient bridges before Song Dynasty (960-1279), the earliest is Guangxiang Bridge constructed firstly in East Jin (317-419), 41 constructed in Yuan (1279-1368) and Ming (1368-1644) Dynasties, 550 in Qing Dynasty (1644-1911). In this article, two categories of special ancient bridges are briefly introduced, i.e. stone arch bridges with the embryonic form of overpass and stone arch bridges with catenary axis. 2. The earliest overpass In China, some newspapers and periodicals made wrong report for introducing the Bazi (Chinese character of eight) Bridge (Fig.1) in Fig.1 Bazi Bridge Shaoxing City to be the existing earliest overpass in China. This Bridge was constructed in the 4th year of Baoyou, Song Dynasty, i.e., in 1256, it is a stone beam bridge but was wrong introduced to be an arch one. It is called Bazi Bridge because the stepped stone bridge slopes at east and west ends in the south are standing in oblique directions just to form a Chinese character of eight. The Bazi Bridge was wrong reported as an overpass might be possible because in a famous book of “Shaoxing Stone Bridges” made a mistake that the towpaths “on the northsouth slop at the east end of” Bazi Bridge was wrong introduced as “under the bottom” of it. Yet this Bridge is the existing earliest city bridge. The 1st author has pointed out that the near Guangning Bridge of 7-fold stone Fig.2 Guangning Bridge arch bridge (Fig.2) constructed also in Song Dynasty with a distance of 136m in the north of Bazi Bridge can be considered as the existing earliest embryonic form of overpass, because under this Bridge there are towpaths which can be also used for walk. The distance between Dongshuang Bridge (stone arch) in the south of Bazi Bridge is equal to 147m, and that from the former to Fig.3 Local map of Shaoxing Fangche Bridge (stone beam) equal to 154m, i.e., in City (in the northeast part) 1 the field of 437m, there are 4 ancient stone bridges (Fig.3, in which, the other Chinese are not translated), it can see that the distribution density of bridges in local area is much more large. These 2 bridges are also constructed in Song Dynasty. 3. Ancient stone arch bridges with catenary axis The 1st author has discovered in Zhejiang Province, there are 6 ancient stone arch bridges with catenary axis curves, among which 2 are located in Shaoxing Region: Yingxian Bridge (Fig.4) with span of 14.70m in Fig.4 Yingxian Bridge Xinchang County, in the Annals of Shaoxing County, edited in the years of Chenghua (1465-1487), Ming Dynasty, had been recorded and was re-constructed in the 24th year of Daoguang (1544), Fig.5 Yucheng Bridge Qing Dynasty; Yucheng Bridge (Fig.5) with span of 12.00m in Shengzhou, constructed in the 16th year of Daoguang (1836), Qing Dynasty. For Yingxian Bridge, in the following table, there are shown the measured coordinates of arch axis, which approach to those calculated with a constant 6.530 of catenary curve by using electron brain. The measured coordinates of the arch axis of Yucheng Bridge are neglected here, which approach also to those calculated with a constant 9.889 of catenary curve. These results were obtained by the 1st author. Besides, in Zhejiang Province, there are also discovered 4 bridges being possible according to primary estimation to have arch exes of catenary or ellipse, they are two, Fenggan Bridge and Guanyin Bridge in Tiantai Region; Guohe Bridge in the Scenic Spot of Yandang Mountain, and the other one with unknown bridge name near the National Highway 104 in Leqing County. The arch axes of these 4 bridges will be measured recently in plan. No. of Springing section crown 1 2 3 4 5 6 7 8 9 10 11 0 12 springing Coordinates 1.0000 0.7758 0.5951 0.4507 0.3349 0.2428 0.1700 0.1133 0.0701 0.0384 0.0163 0.0041 0.0000 of arch axis 2