As Richard told, By inputting refractory density and thickness, only weight gets adjusted.

Based on refractory thermal properties and method of application, metal skin temperature is calculated and it should be received from vendor. Different refractory brands have different thermal conductivity etc.
This metal skin temperature is used for CAESAR input. Combined thermal expansion co-efficient is not calculated here.

Now, to take care the stiffness of refractory, combined modulus of elasticity (refractory & steel) is calculated and the same is used in CAESAR.

This is the basic input I know. One can add more into it, if any.