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On the basis of design method of the existing fastener-style steel tubular formwork-support,in view of the characteristics of the formwork-support,the standard structure of the system which laid the foundations for the follow-up tests and theoretical studies was proposed.The author suggested the design of formwork-support should be combined with the present theory of the design of steel structure,and then proposed the design method of formwork-support based on equivalent notional lateral loads and the formula is given.A standard structure model is designed to full scale experiment and verify the calculation formula of fastener-style formwork-support,which is compared with the formula recommended by the present code.The result showed that the formula can meet the requirements of the safety factor,K≥2.0,which provided a reference for those concerned with research,design or construction.