Supplementary Material, Appendix G – G.10

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 10

G.10 Compute mass moment of inertia of a short hallow thick-walled cylinder of 1000 mm outer diameter, 900 mm inner diameter, a 300 mm length with respect to its centerline z-axis.

Solution:

Polar mass moment of inertia Izm = m * (1/2) (r22 + r12

Izm  = (1/2) (π(r22 – r12) ρt) (r22 + r12

Izm = (1/2) ρt π(r24 – r14

m = π(r22 – r12)  ρL = 349.188 kg

Izm = 79.003 kg-m2 = 775.027 N-m2

Radius of gyration Rzm = (Izm/Mass)0.5 = 0.475 m


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