30 pages matching shear force diagrams in this book
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Area and areamoment methods of analysis
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4.1 the fixed analysis applied to member Apply equation 3.3 beam shown bending moment diagram cancellation of hinges deflected shape determine the slope diagram is shown displacement vector distribution factors distribution table Draw the bending elastic equating external equation 4.3 external and internal external loads Figure fixed end moments flexibility method frame in Fig frame shown hand screw rule hence hyperstatic structures influence line INPUT joint displacements kNm From Table kNm2 lack of fit matrix stiffness method maximum bending MBA+MBC mechanism shown member BC member forces Members AB BA mid-span pin-jointed frame plastic hinges point load portal frame positive PRINT propped cantilever redundant restraints rigidly jointed rotation shear force diagrams shown in Fig sign convention simply supported beam slope deflection Solution span BC span beam statically determinate stiffness method strain energy sway frame symmetrical theorem uniformly distributed load vector vertical deflection Young's modulus zero