# stressInducedArea: Induced Stress due to Area Loads In geotech: Geotechnical Engineering

## Description

These functions calculate induced stresses due to an area load applied at the surface: induced.area performs this calculation at a specific depth, induced.area.profile performs this calculation at a series of depths.

## Usage

 ```1 2``` ```induced.area(z, q, B, L = NA, shape) induced.area.profile(z = NA, q, B, L = NA, shape) ```

## Arguments

 `z` depth(s) of interest `q` applied pressure at ground surface `B` width of loaded area `L` length of loaded area (rectangular foundations only) `shape` shape of loaded area (a string containing "circle", "square", "strip", or "rectangle")

## Details

• The depth(s) of interest (z) should be a single value for induced.point, and a vector of values for induced.point.profile. For induced.point.profile, the default vector of z values is 1-ft or 1-m increments, to a maximum depth of 50 ft or 50 m.

• This function currently uses the approximate method of Poulos and Davis (1974). More advanced formulations are expected in future versions of this package.

## Value

Function induced.area outputs the induced vertical stress at the center of the loaded area.

Function induced.area.profile outputs a two-element list containing two vectors:

• depth = vector of depths

• sigmaZ = vector of induced vertical stresses below center of the loaded area

## Author(s)

James Kaklamanos <[email protected]> and Kyle Elmy <[email protected]>

## References

Poulos, H.G., and Davis, E.H. (1974). Elastic Solutions for Soil and Rock Mechanics, John Wiley, New York.

`stressInducedPoint`, `stressVertical`, `stressHorizontal`
 ```1 2 3 4 5``` ```## Example code for Induced Stress due to Area Load induced.area(z = 10, q = 1000, B = 3, shape = "square") ## Example code for Induced Stress due to Area Load: Profile induced.area.profile(q = 1000, B = 3, shape = "square") ```