Transverse reinforcement designIntroductionSymbolsCalculation effortsElements without transverse reinforcementMaximum shear forceTensile force in the longitudinal reinforcementCalculation of transverse reinforcementChecking the compression of concrete connecting rodsCalculation of shear reinforcementMinimum percentage of transverse reinforcementCas particulier des sections circulaires (pieux)
The transverse reinforcement is designed in accordance with Eurocode 2.
Symbol | Unit | Description |
---|---|---|
kN | Shear force acting | |
kN | Design resistant shear force for an element without shear force reinforcement | |
kN | Calculation value of the shear force equilibrated by shear reinforcement in the ultimate limit state | |
kN | Calculation value of the maximum shear force an element can withstand before the concrete rods are collapsed. |
The transverse reinforcement is design at ULS in accordance with Eurocode 2.
With:
Percentage of longitudinal reinforcement :
With:
Compressive stress of the concrete :
With:
No transverse reinforcement is required if
Even if no transverse reinforcement is required, the following condition must be respected :
Where
With :
The tensile force in the longitudinal reinforcement is calculated from the following expression. The force to be taken up by the reinforcements cannot be exceeded.
The transverse reinforcement is designed at the ULS in accordance with Eurocode 2.
When
It is advised to choose an inclination of the concrete rods between
It should be checked that the compression force of the concrete rods do not exceed :
With:
The force taken up by the transverse reinforcement is calculated as follows:
The force taken up by the transverse reinforcements must be compared to the design shear force to find the steel section required to take up the design shear force
The percentage of transverse reinforcement is calculated as follows:
Where:
Even when no shear reinforcement is necessary, a minimum transverse reinforcement is required. The percentage of minimum transverse reinforcement is calculated as follows:
The case of circular sections is not dealt with in Eurocode 2 - Part 1.1. The Application Guide of Eurocode 2 (FD P18-717) makes some proposals which are summarised below when there are at least 6 longitudinal bars, which is usually the case in common situations.
In the context of the verification of the shear force and the calculation of the transverse reinforcement, the circular section is assimilated to an equivalent rectangular section with the following dimensions
where D is the diameter of the pile and d is the effective height of the section.
Only the tensile reinforcement within this equivalent section is included in the