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Drivetrain code implementation: potential inconsistencies / area of development #593

Description

@ibrahim-hanif

Description

This issue concerns the implementation of von Mises stress utilisation constraint TubevonMisesStressUtilization.py within ...WISDEM?wisdem\commonse\utilization_constraints.py, that I reckon may have a implementation mistake.
Would be grateful if you could cross check this again. Thank you 😄

Current behavior (line 179)

# von mises stress
    a = ((axial_stress + hoop_stress) / 2.0) ** 2
    b = ((axial_stress - hoop_stress) / 2.0) ** 2
    c = shear_stress**2
    von_mises = np.sqrt(a + 3.0 * (b + c))

Expected behavior

# von mises stress
    a = ((axial_stress + hoop_stress) ** 2)  / 2.0
    b = ((axial_stress - hoop_stress) ** 2)  / 2.0
    c = shear_stress**2
    von_mises = np.sqrt( (a+b) + 3c ) 

von Mises stress can be written as:
Image
source: Eq. 5-14, Shigley's Mechanical Engineering Design 11e in SI Units, Richard Budynas, Keith Nisbett

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