stressmodule

⚠ A module with functions to help you with Stress Analysis 💪.

List of functions

🌹 strain_rosette

Calculates the canonical axial stresses on the element based on strain gauges measurements.

🦖 strain_to_stress

Calculates the normal stresses on the element based on it's canonical strains.

🏆 principal_stresses

Calculates the principal stresses on the element based on it's canonical stresses.

🧘‍♂️ stress_state

Calculates the normal and shear stresses on any orientation based on the element canonical stresses.

👮‍♀️ von_mises_stress

Calculates the Von Mises stress on the element based on it's Cauchy's stress tensor.

Examples:

stress_state Application:

Problem and Standard Solution:

Let's solve the first problem with the stress_state function:

        import stressmodule as sm
        import numpy as np 

        # Cauchy Stress Tensor:
        cauchy = np.matrix([
                            [100, -48],
                            [-48, 60]
                            ])

        # Plans Orientation:
        plan_orientation=30

        sm.stress_state(cauchy, plan_orientation)

Output:

Let's solve the other two:

        import stressmodule as sm
        import numpy as np 

        # Cauchy Stress Tensor:
        cauchy = np.matrix([
                            [50.93, 17.90],
                            [17.90, 0]
                            ])

        # Plans Orientation:
        plan_orientation=60

        sm.stress_state(cauchy, plan_orientation,2)

Output:

        import stressmodule as sm
        import numpy as np 

        # Cauchy Stress Tensor:
        cauchy = np.matrix([
                            [-80, -60],
                            [-60, -120]
                            ])

        # Plans Orientation:
        plan_orientation=45

        sm.stress_state(cauchy, plan_orientation,2)

Output:

End

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