General equations for the stress analysis of rings (1936)
NASA Technical Reports Server (NTRS) · leaf 14
2JT)^(27rr)[2^(FH-g)l • ■ = _2W a-sin(a-0)J ■ ' /' * (2kr)(31TT3)- (2*r<)2.- .;*.V, : ' 2WG a—sin (a— +2Wr2 ^-2W,r8(T-/3.-3in^)+2TFrJ(/3-sin/3) = -—[0-jS)+sin /3cos j9] =2Wr2(20-T) (2W^ + (2irr2)(-^) Substituting the values of the integrals and Xp in the equation for Xm gives 27TT Xm=TFr(l-^-cos… … Figure 7—Problem C. and loading are symmetrical about two axes so, if the y axis is made to coincide with the vertical diameter as shown, X,=0 X,= -TFsin0 Fiqure 6.—Problem B. v _ Dx+AtX, In this problem the y axis will be made to coincide with At the vertical diameter, one of the two diameters…
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