Supplementary Material, Appendix G – G.10

APPENDIX G – Pumps and Turbines

Main – Previous – Next

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 I_zm = m * (1/2) (r₂² + r₁²) 

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

I_zm = (1/2) ρt π(r₂⁴ – r₁⁴) 

m = π(r₂² – r₁²)  ρL = 349.188 kg

I_zm = 79.003 kg-m² = 775.027 N-m²

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

---

Summary of revisions to this page:

Date/Revision