Verification of spread footing for punching shear
Verification of spread footing for punching shear
The program allows for the verification of spread footing for punching shear or for the design of shear reinforcement. The critical section loaded in shear Ucr is distant from the column edge by one half of the footing thickness. It is loaded by the prescribed moments Mx, My and by the shear force Qr provided by:
where: | A | - | area of footing |
Q | - | assigned vertical force developed in column | |
At | - | hatched area in fig. |
Dimensioning of shear reinforcement area At
The program computes the maximal shear force Qdmax developed in the critical section, the shear force transmitted by concrete with no shear reinforcement Qbu, and the maximal allowable force Qmax:
where for: 
is: 
or else: 
For Qdmax < Qbu no shear reinforcement is needed.
For Qdmax > Qbuand Qdmax < Qmax the shear reinforcement must be introduced. The ultimate shear force is given by:
where: | Ucr | - | critical cross-section span |
α | - | is angle of crooks | |
As | - | overall area of crooks in footing |
For Qdmax > Qmax the shear reinforcement cannot be designed. It is therefore necessary to increase the cross-section height.
