Application of double Fourier series to the calculation of stresses caused by pure bending in a circular monocoque cylinder with a cut-out
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8uxa axeqq bending moments boundary conditions complete shell condition of equilibrium cross section cut-out DOUBLE FOURIER SERIES eanqonaqs enclosed table eqq oq eqq sx equa equal to zero equilibrium conditions equilibrium of moments esoao fo qaad aaxnoaxo fo quemom fO sonxqxpono Fourier coefficients fulfilled identically full shell greater number infinite number infinitely great rigidity integration linear equations longitudinal force m=l n=l m=o n=l p=o r=l pr mxir normal stresses o^ux pair of coefficients penmesa plane principle of least problem qn-oqno region considered reinforcing ring requirement seeseaqe set of equations shearing stresses Special conditions ssoao eqq fo straight bar strain energy caused stresses with respect Substitution of Eq.(17 symmetry systems of linear taken into account three first functions total strain energy uoxqoes ssoao eqq Z Z c m=o n=l