Supplementary Material, Appendix G – G.5

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 5

G.5 Compute area moment of inertia with respect to its principal x-axis as well as centerline z-axis of a composite circular steel plate of 300 mm diameter sandwiched between 2 circular steel annular plates of 300 mm outer diameter and 250 mm inner diameter. Compute radius of gyration of this plate with respect to both x and z axes. 

Solution:

As area of the circular plate represents the area of the composite plate with negligible thickness,

I_x  = (I_x)_circle = 0.000398 m⁴

Radius of gyration R_x = (I_x/Area)^0.5 = 0.075 m

I_z =  2 I_x  = 0.000795 m⁴

Radius of gyration R_z = (I_z/Area)^0.5 = 0.1061m

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