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FEMA P55 Coastal Construction Manual, Fourth Edition - Mad Cad

FEMA P55 Coastal Construction Manual, Fourth Edition - Mad Cad

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Volume II DESIGNING THE FOUNDATION 10<br />

EXAMPLE 10.5. PIER FOOTING UNDER UPLIFT AND LATERAL LOADS (concluded)<br />

EQUATION A<br />

where:<br />

(see Figure 10-20)<br />

e = eccentricity<br />

Pt = total vertical load for the load combination being analyzed<br />

M = applied moment Pl (H + x) (ft-lbs) where x and H are as defined<br />

previously<br />

P l is the lateral load applied at the top of the column. For equilibrium, R must be applied within the<br />

“kern” of the footing (for a square footing, the kern is a square with dimension of L/3 centered about<br />

the centroid of the footing). Mathematically, e cannot exceed L/6. Ensuring that the reaction R is<br />

applied within the kern of the footing prevents tensile stresses from forming on the edge of the footing.<br />

Calculating the minimum soils stress for various footing widths (using a recursive solution) shows<br />

that the footing would need to be 11 ft 4 in. wide to prevent overturning. Increasing the footing<br />

thickness to 2 feet would allow the footing size to be reduced to approximately 8 ft 9 in. Either design<br />

is not practical to construct.<br />

10.9.2 Pier Foundation Summary<br />

These analyses indicate that piers with discrete footings are practical to construct when they are required to<br />

resist gravity loads only but are not practical when they must resist uplift forces or lateral loads. Although<br />

prescriptive designs for pier foundations are available in some codes and standards, users of the codes and<br />

standards should ensure that the designs take into account all of the loads the foundations must resist.<br />

Prescriptive designs should only be used to resist lateral and uplift loads after they have been confirmed to<br />

be adequate.<br />

Constructing piers on continuous footings makes pier foundations much more resistant to coastal hazards,<br />

but prescriptive designs for piers on continuous footings are not present in widely adopted codes such as<br />

the IRC and IBC. Until prescriptive designs using piers are developed, these styles of foundations should<br />

be engineered. Continuous footings are discussed in Section 11.1.5 of <strong>FEMA</strong> 549, Hurricane Katrina in<br />

the Gulf Coast (<strong>FEMA</strong> 2006), and continuous footing designs that can be used for the basis of engineered<br />

foundations are contained in <strong>FEMA</strong> P-550.<br />

COASTAL CONSTRUCTION MANUAL<br />

10-45

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