The function can be derived as followed: Based on the necessary conditions of complete similarity in the scaled down model frame derived in the first part, in this part a steel frame of three stories and three span is proposed as the research object, which has a span length of 8400 mm and a story height of 4200 mm.The frame was simulated by setting the fixed boundary condition at the end of each column base.
, these three parameters are chosen as the basic parameters with independent dimension.
So the 14 relevant system parameters can be transformed into certain function of 11 dimensionless parameters.
The horizontal loads applied at the top of the columns were 100 k N.
All the beam-column joints are End-Plate connection joints.
This paper is based on similarity theory—by adding the semi-rigid characteristics of both the beam-to-column connections and the column base to the derivation of similar conditions, the similarity conditions of semi-rigid steel frame are developed.
Steel Component Method Thesis
The three incomplete geometric similarity factors are thoroughly examined to obtain the sensitivity of each factor.
Dynamic parameters are also included for future study of dynamic similitude law [14,15,16].
The relevant parameters are listed as follows: According to the second law of similitude theory (Buckingham π theorem), if there is a physically meaningful equation involving a certain number n of physical variables, then the original equation can be rewritten in terms of a set of p = n − k dimensionless parameters constructed from the original variables.
Assuming the geometry scaled ratio of the frame is 1:4, according to basic similarity relations derived in the first part, all the other parameters’ scaled ratios can be derived and listed in Table 2.
The frame’s component specification of the scaled down model and the prototype is listed in Table 3.