Du Shi was by all means a local administrator, yet he also made recommendations to the imperial court on policy issues. He recommended that the Tiger Tallies system be reinstated. This was a means for imperial authorities to check possible official corruption in the forgery of mobilization of troops for war. Du also nominated several minor officials he deemed worthy as candidates for higher posts in the capital, including Fu Zhang. In a memorial of 37, he urged the court to consider Fu as the next Imperial Secretary.
Du Shi's reputation was somewhat stymied in 38 when he was accused of having one of his retainers sent to kill a man out of vengeance for his brother. In that same year, Du became ill and died. Despite Du's long-standing official career, the Director of Retainers Bao Yong reported that no proper funeral ceremony could be arranged for Du, since Du was nearly broke when he died. However, the Emperor had an imperial edict made which granted Du a proper funeral ceremony at his commandery residence in the capital, along with silk to pay for the expenditures.
In the seventh year of the Chien-Wu reign period (31 AD) Tu Shih was posted to be Prefect of Nanyang. He was a generous man and his policies were peaceful; he destroyed evil-doers and established the dignity (of his office). Good at planning, he loved the common people and wished to save their labor. He invented a water-power reciprocator for the casting of (iron) agricultural implements. Those who smelted and cast already had the push-bellows to blow up their charcoal fires, and now they were instructed to use the rushing of the water to operate it...Thus the people got great benefit for little labor. They found the 'water(-powered) bellows' convenient and adopted it widely.
Donald B. Wagner writes that there is no remaining physical evidence of the bellows which Du Shi used, so modern scholars are still unable to determine whether or not they were made of leather or giant wooden fans as described later in the 14th century.
The historical text Sanguo Zhi (Records of the Three Kingdoms) records the use of both human labor and horse-power to operate metallurgic bellows of a blast furnace before water-power was applied. It also records that the engineer and Prefect of Luoling Han Ji (d. 238) reinvented a similar water-powered bellows that Du Shi had earlier pioneered. Two decades after this, it is recorded that another design for water-powered bellows was created by Du Yu (222–285). In the 5th century text of the Wu Chang Ji, its author Pi Ling wrote that a planned, artificial lake had been constructed in the Yuanjia reign period (424–429) for the sole purpose of powering water wheels aiding the smelting and casting processes of the Chinese iron industry. The 5th century text Shui Jing Zhu mentions the use of rushing river water to power waterwheels, as does the Tang Dynasty (618–907) geography text of the Yuanhe Jun Xian Tu Chi, written in 814 AD.
Although Du Shi is the first historical figure to apply water power to metallurgic bellows, the oldest extant Chinese illustration depicting such a device in operation can be seen in a picture of the Nong Shu, printed by 1313 AD during the Yuan Dynasty (1271–1368) of China. The text was written by Wang Zhen, who explained the methods used for a water-powered blast-furnace (Wade-Giles spelling):
According to modern study (+1313!), leather bag bellows were used in olden times, but now they always use wooden fan (bellows)(mu shan). The design is as follows. A place beside a rushing torrent is selected, and a vertical shaft is set up in a framework with two horizontal wheels so that the lower one is rotated by the force of the water. The upper one is connected by a driving belt to a (smaller) wheel in front of it, which bears an eccentric lug (lit. oscillating rod). Then all as one, following the turning (of the driving wheel), the connecting-rod attached to the eccentric lug pushes and pulls the rocking roller, the levers to left and right of which assure the transmission of the motion to the piston-rod (chih mu). Thus this is pushed back and forth, operating the furnace bellows far more quickly than would be possible with man-power.