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Area and areamoment methods of analysis
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4.1 the fixed applied to member Apply equation 3.3 axial force diagrams beam shown bending moment diagram cancellation of hinges collapse load 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 horizontal reaction hyperstatic structures influence line integration joint displacements kNm From Table kNm2 lack of fit matrix stiffness method maximum bending mechanism shown member BC member CD member forces mid-span pin-jointed frame plastic hinges point load portal frame positive 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 symmetrical uniformly distributed load vector vertical deflection Young's modulus zero