A Calculation Method of Hebbe Concentration and Maximum Bending Moment of Rectangular Two-way Plate System

Abstract

The present invention relates to a method for calculating load distribution intensity and a maximum bending moment of a rectangular two-way slab system. The method adopts a characteristic simulated strip method to calculate the load distribution intensity and the maximum bending moment and a relationship thereof of the rectangular two-way slab system, and specifically comprises the following steps: A, intercepting two quadrature slab strips with a unit width in the rectangular two-way slab; B, considering a width to length ratio and a four-side support condition of the rectangular two-way slab, and calculating the load distribution intensity of the slab strips; and C, calculating the maximum bending moment of the rectangular two-way slab and the relationship of the load distribution intensity and the maximum bending moment. Compared to the traditional and prior art, the method provided by the present invention discloses that under the action of a uniformly distributed load of an internal force field of the rectangular two-way slab with a conventional boundary condition, corresponding internal and logical relationships exist between a midspan of the two-way slab and job characteristics of the slab and between the maximum bending moment internal force of a support and the job characteristics of the slab, and the logical and internal relationships can be expressed by using a concise mathematical model; and the method has the advantages of improvement on the design security and convenience of the two-way slab, high calculation reliability and the like.

Description

Technical field [0001] The invention relates to a new generation calculation method for load and internal force data of a rectangular two-way plate system, in particular to a method for calculating load distribution and maximum bending moment of a rectangular two-way plate system. Background technique [0002] In the design of various buildings and structures, "board" is a common structural unit. For example, structural floor slab systems, warehouse slab systems, large rectangular pools, etc. are usually composed of reinforced concrete slabs, composite slabs or steel plates. In this system, each unit plate is mostly supported by beams or walls on three or four sides to form a whole structure. With the development of technology, the structural internal force analysis of rectangular two-way slab systems in slab structures such as office buildings, multi-storey warehouses, garages and pools can be completed with the help of calculation software containing finite element method or n...

AI Technical Summary

Problems solved by technology

The calculation accuracy obtained in this way is high, but it is difficult to form a regular solution for the strip load

[0007] 3) Hillerborg strip method: According to the lower limit theorem of limit analysis, the strip method proposed by Hillerborg includes simple strip method and advanced strip method. The former has certain limitations, while the latter is very complicated and limited in practicability

[0008] 4) Distributive strip method: the calculation object is decomposed into different plate domains, and calculated separately according to different load distribution ratios, the system and calculation efficiency are limited

Images