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 bo 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 Vu provided by:

where:

A

-

area of footing

V

-

assigned vertical force developed in column

At

-

hatched area in fig.

Dimensioning of shear reinforcement area At

The program computes the maximal shear force Vu developed in the critical section, the shear force transmitted by concrete with no shear reinforcement Vc as minimum of values (Art. 11.11.2.1):

where βc is ratio of log side to short side od column.

where αs =

40

-

inner column

30

-

edge column

20

-

corner column

and the maximal allowable force Vmax (Art. 11.11.3.2):

For Vu < ϕ*Vc no shear reinforcement is needed.

For Vu > ϕ*Vc and Vu < ϕ*Vmax the shear reinforcement must be introduced. The ultimate shear force is given by (Art. 11.11.3.1):

where:

bo

-

critical cross-section span

α

-

is angle of crooks

Av

-

overall area of bends in footing

For Vc > ϕ*Vmax the shear reinforcement cannot be designed. It is therefore necessary to increase the cross-section height.





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