What is a root locus breakaway point?

Breakaway point is where closed-loop poles leave the real axis as gain K increases. Found by setting d/ds(characteristic polynomial) = 0 and checking feasibility.

What are the root locus construction rules?

Start at open-loop poles (K=0), end at open-loop zeros (K=inf). Number of branches = max(poles, zeros). Asymptote angles = (2k+1)*180/excess.

Root Locus Breakaway Point

Find root locus breakaway and break-in points by solving dK/ds = 0, and determine the gain at which roots leave the real axis.

2D stress state at a point. All stresses in MPa.

σx — Normal Stress X (MPa)

σy — Normal Stress Y (MPa)

τxy — Shear Stress (MPa)

⚙ Mechanical Note: Results are based on standard textbook formulas and ISO/AASHTO references. Always verify critical designs with applicable codes (ISO 898, AASHTO 1993, AISC, Eurocode 3) and a qualified engineer.

How to Use

Enter the values for the scenario you are assessing. Find root locus breakaway and break-in points by solving dK/ds = 0, and determine the gain at which roots leave the real axis. Use the root locus result to inform your calculation.

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Frequently Asked Questions

What is a root locus breakaway point?

What are the root locus construction rules?