In desiging of bolted joints with gaskets, contact stresses and the compressive spring constant K
cg for clamped parts with a gasket have been estimated using a model in which laminated hollow cylinders are fastened by a single set of a bolt and a nut. But, most practical bolted joints with gaskets are fastened by multiple bolts. Therefore, it is of practical importance to examine the effects of multiple fastenings on the contact stresses and the compressive spring constant K
cg. In the present paper, a model in which clamped parts with a gasket are fastened by multiple bolts is proposed and an analysis is done. By comparing the analytical results with the results obtained from a single fastening model, the effects of multiple fastenings on the contact stresses and the value of K
cg are made clear by numerical computations. In addition, an engineering calculation method of K
cg is proposed.
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