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Verification of Spread Footing for Punching Shear

The program allows to verify 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 F 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 F developed in the critical section, the shear force transmitted by concrete with no shear reinforcement Fb,ult, and the maximal allowable force Fult,max:

For F< Fb,ult no shear reinforcement is needed.

For F > Fb,ult and F < Fult,max the shear reinforcement must be introduced. The ultimate shear force is given by:

where:

Vcr

-

critical cross-section span

α

-

is angle of bends

As

-

overall area of bends in footing

For F> Fult,max the shear reinforcement cannot be designed. It is therefore necessary to increase the cross-section height.