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A. J. S. Pippard Aeronautical Research Committee angle assumed axial axis beam bending moment bow girder braced bulkhead calculated component compression connected considered cos0 cos2 cross-sectional area curved member deflection determined direction of Wi due to bending equilibrium evaluated example external forces external load system fixed flexural rigidity force H framework fuselage Hence Hooke's law hoop stress integrals just-stiff frame length line of action longeron method modulus of elasticity moment of inertia movement necessary number of bars obtained pinned plane frame point of application polygon radius reacting forces redundant members resultant actions rigidity Rj and R3 rotation rth side shear stress shearing force shown in Fig Simpson's rule sin0 space frame static stiff joints straight members strain energy due stress analysis stress diagram structure struts supports Suppose symmetry tangential tangential component temperature torque Torsional total strain energy truss vertical