calculates the magnitudes and directions of the principal stresses \(\sigma_1\) and \(\sigma_3\)
Usage
sigma13(sigma_x, sigma_z, tau_xz)
Arguments
- sigma_x
numeric. Magnitude of normal stress acting in the horizontal direction
- sigma_z
numeric. Magnitude of normal stress acting in the vertical direction
- tau_xz
numeric. Magnitude of shear stress acting on the same plane as "sigma_x"
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(sigma_x = 80, sigma_z = 120, tau_xz = 20)
#> $sigma1
#> [1] 128.2843
#>
#> $sigma3
#> [1] 71.71573
#>
#> $theta1
#> [1] 22.5
#>
#> $theta3
#> [1] 112.5
#>