The minimum mould exit shell thickness (MEST) is one of key factors to consider for continuous casting machine design. Based on the shell strength at elevated temperatures, a concept of shell integral average strength, from its very top surface to the solidus frontier, has been introduced to judge its bulging tendency under ferrostatic pressure. Considering the contribution for the foot roller designing, a mathematic model for the determination of the minimum MEST has been brought forward. It is shown that, when the minimal foot roll pitch is fixed, the minimum MEST is steady. But at the same time, when the MEST does not exceed the minimum value, the round bloom off-round would happen, it is worse for the round bloom than the bulging for the normal strand. And there is the cross point with the curve of the minimum MEST by the minimum roll pitch and the minimum MEST by the fluting include angle of the support roller and the lateral support roller against the cross section.
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