抄録
An approximate analytical equations were derived to calculate the stress state of cylindrical structure that is constructed by fire-bricks, stamp, joint-mortar and shell.
In the analysis gradual heating process was assumed, and non elastic behavior was neglected. The main objects are to get the compression field that is made by constraint of thermal expansion, and the tensile stress that is caused by partial compressive loading.
The analytical solution was compared with that by FEM. The former has little error. This error, however, has no objection to design or to evaluate real furnace.
Numerical calculation was done to clarify the effect on stress of design parameters of blast furnace hearth refractories, i.e. Young's modulus of fire-brick, that of stamp, length of fire-brick and thermal conductivity, etc..
