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Strengthening method of using external pre-stressed steels has many advantages. It gets the recognition of researchers and is widely used in the strengthening and rebuilding projects. However, calculation theories about the method are still lagging behind the practice. It is difficult to put the theories about unbounded pre- stressed steels into construction of external pre-stressed projects because of cross-section deformation incoordination and quadratic effect. This paper takes the designdoi:10.3303/CET1651169 doaj:2d10413397f54c158de612b732c5d74d fatcat:ixdqleghgrf5to4tpql446lcfy