Supplementary Material, Appendix G – G.9

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 9

G.9 Compute mass moment of inertia and radius of gyration of a long circular steel shaft of 300 mm outer diameter and 10m length (L) with respect to its centerline z-axis.

Solution:

Polar mass moment of inertia I_zm = (1/2) m r² = (1/2) (πr² ρ L) r²= (1/2) ρL πr⁴

I_zm = 62.02 kg-m² = 608.48 N-m²

Radius of gyration R_zm = (I_zm/Mass)^0.5 = 0.1061m

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