# Induced Stress due to Area Loads

### 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 <kaklamanosj@merrimack.edu> and Kyle Elmy <ElmyK@merrimack.edu>

### References

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

### See Also

`stressInducedPoint`

,
`stressVertical`

, `stressHorizontal`

### Examples

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")
``` |