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calculates the magnitudes and directions of the principal stresses S1 and S2

Usage

sigma13(sigmaX, sigmaZ, tauXZ)

Arguments

sigmaX

normal stress acting in the horizontal direction

sigmaZ

normal stress acting in the vertical direction

tauXZ

shear stress acting on the same plane as "sigmaX"

Value

A four-element list containing

"sigma1"

magnitude of major principal stress

"sigma3"

magnitude of minor principal stress

"theta1"

direction of major principal stress (degrees)

"theta3"

direction of minor principal stress (degrees)

Author

Kyle Elmy and Jim Kaklamanos

Examples

sigma13(sigmaX = 80, sigmaZ = 120, tauXZ = 20)
#> $sigma1
#> [1] 128.2843
#> 
#> $sigma3
#> [1] 71.71573
#> 
#> $theta1
#> [1] 22.5
#> 
#> $theta3
#> [1] 112.5
#>