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# 1807.3.2 Design Criteria

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The depth to resist lateral loads shall be determined using the design criteria established in Sections 1807.3.2.1 through 1807.3.2.3, or by other methods approved by the building official.
1807.3.2.1 Nonconstrained
The following formula shall be used in determining the depth of embedment required to resist lateral loads where lateral constraint is not provided at the ground surface, such as by a rigid floor or rigid ground surface pavement, and where lateral constraint is not provided above the ground surface, such as by a structural diaphragm.
(Equation 18-1)
where:
A = 2.34P/(S1b).
b = Diameter of round post or footing or diagonal dimension of square post or footing, feet (m).
d = Depth of embedment in earth in feet (m) but not over 12 feet (3658 mm) for purpose of computing lateral pressure.
= Distance in feet (m) from ground surface to point of application of "P."
P = Applied lateral force in pounds (kN).
S1 = Allowable lateral soil-bearing pressure as set forth in Section 1806.2 based on a depth of one-third the depth of embedment in pounds per square foot (psf) (kPa).
1807.3.2.2 Constrained
The following formula shall be used to determine the depth of embedment required to resist lateral loads where lateral constraint is provided at the ground surface, such as by a rigid floor or pavement.
(Equation 18-2)
or alternatively
(Equation 18-3)
where:
Mg = Moment in the post at grade, in foot-pounds (kN-m).
S3 = Allowable lateral soil-bearing pressure as set forth in Section 1806.2 based on a depth equal to the depth of embedment in pounds per square foot (kPa).
1807.3.2.3 Vertical Load
The resistance to vertical loads shall be determined using the vertical foundation pressure set forth in Table 1806.2.

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