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aerodynamic aeroplane aileron AJbt alloy angle antisymmetrical applied approximation assumed average stress axes axial constraint stresses beam bending boom loads Bredt-Batho built-in calculated centroid Chapter coefficient compression compression stress compressive strength constant corresponding cross-section cylinder deflexion deformations diagram direct stress edge stress effect elastic end loads engineers equal equation experimental factor factor of safety failing stress failure flange flat panels flat plates flexural axis flight path formulae four-boom fuselage given gust inertia forces inertia loads initial instability material maximum method modulus monocoque multi-cell tube obtained occur pitching acceleration plane radius radius of gyration ratio rectangular ring rivets roll rotation Royal Aeronautical Society shear centre shear flows shear modulus shear stress simply-supported speed static stiffeners stiffness strength stress-system structure strut symmetrical tail load tail-plane theory thickness thin-walled torque torsional mode transverse loads twist velocity weight wheel wing yawing Young's modulus