First Principal Stress in Theories of Failure Formulas

First Principal Stress is the first one among the two or three principal stresses acting on a biaxial or triaxial stressed component. And is denoted by σ₁. First Principal Stress is usually measured using the Newton per Square Millimeter for Stress. Note that the value of First Principal Stress is always positive.

Theories of Failure formulas that make use of First Principal Stress

fxStress due to Change in Volume with No DistortionGo

fxStrain Energy due to Change in Volume given Principal StressesGo

fxDistortion Strain EnergyGo

fxTensile Yield Strength by Distortion Energy TheoremGo

fxTensile Yield Strength by Distortion Energy Theorem Considering Factor of SafetyGo

fxTensile Yield Strength for Biaxial Stress by Distortion Energy Theorem Considering Factor of SafetyGo

FAQ

What is the First Principal Stress?

First Principal Stress is the first one among the two or three principal stresses acting on a biaxial or triaxial stressed component. First Principal Stress is usually measured using the Newton per Square Millimeter for Stress. Note that the value of First Principal Stress is always positive.

Can the First Principal Stress be negative?

No, the First Principal Stress, measured in Stress cannot be negative.

What unit is used to measure First Principal Stress?

First Principal Stress is usually measured using the Newton per Square Millimeter[N/mm²] for Stress. Pascal[N/mm²], Newton per Square Meter[N/mm²], Kilonewton per Square Meter[N/mm²] are the few other units in which First Principal Stress can be measured.

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