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Verification of spread footing for punching shear

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 Vr 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 maximum shear force V developed in the critical section, the shear force transmitted by concrete with no shear reinforcement Vc, and the maximal allowable force Vmax:

where:

where: cx, cy - are dimensions of footing column

For V < Vc no shear reinforcement is needed.

For V > Vc and V< Vmax it is necessary to design shear reinforcement. The permissable shear force is given by:

where:

u

-

critical cross-section span

α

-

is angle of bends

Asv

-

overall area of bends in footing

For V > Vmax the shear reinforcement cannot be designed. It is therefore necessary to increase the cross-section depth.

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