Supplementary Material, Appendix G – G.11

APPENDIX G – Pumps and Turbines

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Surge Analysis and the Wave Plan Method

Supplementary Material: Example Problems and Solutions

Appendix G – Problem 11

G.11 Compute radius of gyration for a thin circular annular plate of 1000 mm outer diameter and 900 mm inner diameter with respect to its centerline z-axis.

Solution:

Polar moment of inertia of annular plate I_zm =  (1/2) π(r₂⁴ – r₁⁴)

I_zm = 0.5 * π * (0.5⁴ – 0.45⁴)= 0.0337 m²

Area = 0.1492 m²

Radius of gyration R_zm = (I_zm/Area)^0.5= 0.475 m

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