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

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 <[e-mail]> and Kyle Elmy <[e-mail]>

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

##  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")

Example output

[1] 38.40419
$depth
 [1]  0  1  2  3  4  5  6  7  8  9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24
[26] 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49
[51] 50

$sigmaZ
 [1] 1000.000000  874.372336  544.092482  324.790760  206.716319  140.730565
 [7]  101.204131   75.974641   59.000049   47.077971   38.404189   31.906602
[13]   26.918431   23.008514   19.888555   17.360128   15.283176   13.556627
[19]   12.106104   10.875911    9.823689    8.916770    8.129634    7.442117
[25]    6.838120    6.304664    5.831193    5.409051    5.031088    4.691354
[31]    4.384867    4.107433    3.855494    3.626022    3.416427    3.224478
[37]    3.048251    2.886075    2.736497    2.598245    2.470205    2.351397
[43]    2.240953    2.138107    2.042179    1.952561    1.868713    1.790150
[49]    1.716437    1.647182    1.582035

geotech documentation built on May 1, 2019, 9:09 p.m.