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Building Design and Construction Handbook - Merritt - Ventech!

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CONCRETE CONSTRUCTION 9.113<br />

FIGURE 9.46 <strong>Design</strong> conditions for combined spread footing of trapezoidal shape.<br />

moment about one axis, the factored soil pressure q s can be assumed to have a<br />

linear distribution (Fig. 9.46b) with a maximum at the more heavily loaded edge:<br />

<strong>and</strong> a minimum at the opposite edge:<br />

Pu Puec qs1 � � (9.93)<br />

A I<br />

ƒ ƒ<br />

Pu Puec qs2 � � (9.94)<br />

A I<br />

ƒ ƒ<br />

where P u � factored vertical load<br />

e � eccentricity of load<br />

c � distance from center of gravity to section for which pressure is being<br />

computed<br />

I ƒ � moment of inertia of footing area<br />

If the resultant falls outside the kern of the footing, the net factored pressure q s can<br />

be assumed to have a linear distribution with a maximum value at the more heavily<br />

loaded edge <strong>and</strong> a lengthwise distribution of 3 times the distance between the<br />

resultant <strong>and</strong> the pressed edge. The balance of the footing will have no net factored<br />

pressure.<br />

With the net factored soil-pressure distribution known, the factored shears <strong>and</strong><br />

moments can be determined (Fig. 9.46d <strong>and</strong> e). Critical sections for shear <strong>and</strong><br />

moment are shown in Fig. 9.46a. The critical section for two-way shear is at a<br />

distance d/2 from the columns, where d is the effective depth of footing. The<br />

critical section for one-way shear in both the longitudinal <strong>and</strong> transverse direction<br />

is at a distance d from the column face.

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