Finite Element Analysis Of Space Frame Structures – Formulation Of A D Timoshenko Beam Element – Curvatures Of D Beams Under Pure Bending – Equilibrium Equations Of D Beam Elements – Contributions Of Transverse Shear Forces – On The Elastic Curve – Deformation Of A Point On A Cross-Section – Of D Beams – Rotation Matrix Of A Point On A Cross-Section – Of D Beams And Deformation For Small Rotations – Strains And Stresses At A Location On A Cross-Section – Of A D Beam – Calculation Of Forces And Moments Of D Beams – Differential Equations Of The D Beam Element – Solution Of Differential Equations Of The Elastic Curve – And Shape Functions Of The D Beam Element – Total Potential Energy, Stiffness Matrix, – And Static Equilibrium Equation – Total Kinetic Energy, Mass Matrix, Damping – Matrix, And Dynamic Equilibrium Equation – Coordinate Systems And Transformations – Transformations Of Element Stiffness Matrix, – Consistent Load Vector, And Mass Matrix – Formulation Of Member Releases And Partly – Connected Members – Representation Of A Partly Connected – Beam Element – Formulation Of Stiffness Matrix, Consistent – Load Vector, And Mass Matrix – Of A Spring-Beam Element – Calculation Of The Connectivity Matrix – Member Releases In A Different Coordinate System – Formulation Of Eccentrically Connected Members – An Interface Beam Element For The Soil–Structure Interaction – And Deformation Of Soil Under R-Wave Propagation – Modeling Of Soil Medium And Calculation – Of Interface Loadings – Formulation Of Interface Element – For Soil–Beam Interactions – Ground Deformation Under R-Wave Propagation – And Calculation Of The Exerted Force Vector .
