Supplementary Material, Appendix G – G.17

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 17

G.17 An object was assembled by gluing a short (300 mm length) hollow thick-walled cylinder made of lightweight material of density (100 kg/m³)  to a solid circular steel plate. The outer diameter of the cylinder is 1000 mm and the inner diameter 900 mm. The diameter of the solid steel plate is 1200 mm with a thickness of 30 mm. Compute the weight moment of inertia WR² of the object with respect to z-axis.

Solution:

Weight moment of inertia WR² of flywheel is the sum of polar weight moment of inertias of the cylinder and the plate.

I_zw = I_zw(cylinder) + I_zw(plate)

            I_zw = W_cylinder * (1/2) (r₂² + r₁²)  + W_plate * (1/2) (r²) 

            W_cylinder = 43.917 N,

W_plate = 2596.195 N, r­₁ = 0.5m, r­₂ = 0.45m, r­ = 0.6m

I_zw = 477.251 N-m²

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