Reinforcement calculation of slabs

The structural analysis of slabs is carried out by the finite elements method (FEM). The finite elements consist of rectangular slab pieces having 4 nodes and a degree of freedom of 12. Loads can be defined as point load on nods, or as linear load between two nods ,or as uniform distributed load on slab. It is possible to define these loads in any phase of the project on the slab.

The user can determine in the slab setting dialog box the finite element width of each slab.

The slabs are then divided up into finite elements of such width as determined. The nods formed at the corner points of the finite elements are numbered by the program automatically. Now the geometrical characteristics and the loads of the rectangular finite elements are determined. The program solves the equations of the system and calculates the displacements of the nodes, and the end forces.

Boşluklu Bir Plağın Moment Diyagramı Boşluksuz Bir Plağın Moment Diyagramı

In order to determine the design moments to be used for the calculation of the reinforcement, the relevant concrete calculation lines of finite elements are defined by the program automatically. At rectangular slabs the maximum values of the moments are mostly in the middle of the slab. For such slabs the concrete calculation lines are automatically defined by the program in the middle of the slab as soon as the slab is defined as such. For polygonal slabs or for slabs with irregular edges, the most appropriate concrete calculation line can be calculated by ascertaining the most critical areas of the respective slab by examining the slab forces obtained from structural analysis using several concrete calculation lines. The user can define several concrete calculation lines on one and the same slab, which are then numbered automatically by the program. On the plan the concrete calculation lines are represented by consecutively numbered lines. For example for a slab on which 4 different concrete calculation lines are defined, a total 4 lines will appear which are numbered consecutively as 1.2.3.4.

The program detects automatically whether the slabs are continuous one or simple supported, and how their bearing, supporting and boundary conditions are. At the edges of the slabs there can be any beams, walls, shear walls or columns, or the slab have free-ends. However one or more or even all edges of the slabs can be hinged supported. If there are any columns or shear walls at the edges of the slabs, the program always assumes that the slabs as supported with fixed-ends. But, if there is a beam at the edges of the respective slab, the program assumes such slabs as simple supported if such slab is not non-continuous one, and as supported with fixed-ends if it is a continuous slab.

Each slab is evaluated automatically and separately depending on its individual supporting and boundary conditions. For the supporting and boundary conditions of the slabs, there are no restrictions or limitations in the program. Also, any mixed supporting is allowed, and any slab can have n corners. Any in one way or in two way working floor slabs, balcony slabs, landings or eave slabs can be analyzed with the program easily and independently of their geometry and supporting (boundary) conditions.

Moment Diyagramı Plağın Deformasyonu

As soon as a concrete calculation line is defined for a slab, the program determines automatically the working style of the slab, and the type and the arrangement of the reinforcement to be inserted in accordance with the respective working style of such slab. But nevertheless, for special cases, the user is enabled to intervene in the working style of the slab, and in the type and arrangement of the reinforcement.

Working Style Explanation Reinforcement type and arrangement
Two way
Short edge

 

It is a two way working slab and the concrete calculation line is in direction of the short edge of the slab.

(LLong/LShort<2)

 
Straight and bent-up reinforcement. If desired only straight reinforcement can be arranged at short span.
One way
Short edge

 

It is a one way working slab and the concrete calculation line is in direction of the short edge of the slab.

(LLong/LShort≥2 or balcony slab, or landing slab)

 

Straight and bent-up reinforcement for one way working slabs. If desired only straight reinforcement can be arranged at short span.

Cantilever (additional) reinforcement is to be added at brackets or consoles. Reinforcement is to be extended up to free end.

Two way
Long edge

 

It is a two way working slab and the concrete calculation line is in direction of the long edge of the slab.

(LLong/LShort<2)

 
Straight and bent-up reinforcement. If desired only straight reinforcement can be arranged at short span.
One way
Long edge

 

It is a one way working slab and the concrete calculation line is in direction of the long edge of the slab.

(LLong/LShort≥2 or balcony slab, or landing slab)

 

Straight and bent-up reinforcement. If desired only straight reinforcement can be arranged at short span.

Below are given the working styles of slabs and types and arrangements of reinforcements as ascertained depending on the relevant concrete calculation lines:

The program analyzes the following systems by the finite elements method :

Slabs working one way or two way

Mushrooms (flat slabs)

Raft foundations with or without strips

Single footings

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Reinforcement Calculation
Reinforcement calculation of slabs
Reinforcement calculation of beams
Reinforcement calculation of columns / panels
Reinforcement calculation of Foundations
 

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