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.
As area of the circular plate represents the area of the composite plate with negligible thickness,
I x = (I x )_circle = 0.000398 m 4
Radius of gyration R x = (I x /Area) 0.5 = 0.075 m
I z = 2 I x = 0.000795 m 4
Radius of gyration R z = (I z /Area) 0.5 = 0.1061m
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