The Author ever stated that the torque fluctuation of the intermediate shaft must be considered when calculating the strength of propeller. The present paper explains the relation between torque fluctuation and bending moment at the root of blade of propeller by its own inertia.The wave form of one complete period on film which recorded by Author's torsionmeter can be expressed as follows : Δ-Δm=Σγn sin (nω0t+ψn), where Δ=displacement of image from zero line (cm), Δm=mean displacement of image from zero line (cm), n=wave number of the component of harmonics included in one period, ω0=2πN/60 for 2-cycle engine, = πN/60 for 4-cycle engine, N=revolutions of shaft per minute, γn=amplitude of the component (cm), ψn=phase angle of the component.Assuming the positions of nodes of forced vibration to be the same as those of free vibrations, fathermore neglecting the inertia of shaft, the formula for amplitude of shaft at propeller position referred to any one of the mode of vibration isθL=1/Ip2Σqγn sin (nω0t+ψn), where.L=virtual moment of inertia of propeller (g.cm2), p/2π=natural frequency per second for the mode of vibration under consideration, q=torque per unit displacement of image (dyne. cm-1).Practically, it is enough for this purpose only to consider the vibration with one node.The angular displacement, angular speed and angular acceleration of propeller are φ=2πN/60t-1/Ip2Σqγn sin (nω0t+ψn), ω=2πN/60-1/Ip2Σnω0qγn Cos (nω0t+ψn), α=1/Ip2 Σ (nω0)2 qγn sin (nω0t+ψn).Assuming that the distribution of virtual mass along the blade is similar to the distribution of actual mass of blade and the boss is sphere, the virtual moment of propeller and the bending moment at root of a blade areI=zk'ρ1∫R0 RγAR2dR+ρ2π/60 (2Rγ) 5, M=-α·k'ρ1 [∫R0RγAR2dR-Rγ∫R0RγARdR], wherez=number of blades, k'ρ1=virtual density of blade (g.cm-3), ρ2=density of boss (g.cm-3), 2Rγ=dia. of boss, 2R0=dia of propeller, A=sectional area of blade at a rad. R.k' is larger than unity. M is the vector quantity whose direction coincides with axis of propeller shaft.Assuming that the contour of blade is elliptic and sectional form of blade at any radius is parabolic, the above formulas can be simplified as follows
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