長方形床のたわみ量における精密解と多項式解およびKojima(2013)解との比較: 周辺支持と周辺固定の精密解

摘要

Kojima(2013a) had proposed the calculation formulas of the effective mass coefficient that the concentrated load affected the rectangular flat slabs. As the support conditions, Kojima(2013b) had calculated the simply support along edges, the fixed support along edges, two adjacent edges simply supported and the other edges clamped, or all edges semi-clamped. Through a series of these processes, the author has derived the calculation formulas of the maximum deflections from the concentrated load on the rectangular flat slabs. The author has proposed the calculation formula of the polynomial solutions by using the precisions solutions of deflections on the central rectangular flat slabs proposed by Timoshenko(1959). Moreover, these solutions with arbitrary size incorporated effective load by Kpjima(2013b) have been expanded not only the central concentrated load, but also the uniformly distributed load. The author compares and verifies among the accurate solutions, the polynomial solutions and the solutions with arbitrary size incorporated effective load by Kojima(2013b).%Timoshenko(l959)は，長方形床の種々の支持条件における精密解のたわみ量の算定式を提案している。本論文は，Timoshenkoの精密解のたわみ量を求めるアルゴリズムおよびプログラムを構築し，たわみ量の精密解を求めたものである。荷重条件は集中荷重および等分布荷重で，支持条件は(A)周辺支持および(B)周辺固定である。