beam deflection shear and stress fig p2 22 using singularity functions statically indeterminate beams damage quantification of beam using singularity functions moving mass spring damper system closed form equation for natural a simply supported beam and a moving beam mass system a beam elements n and n 1 are hinge pinned fixed beam solved 3 32 a simply supported i beam axial bending modal coupling dynamics of a beam with multiple spring a constrained assumed modes method for a constrained assumed modes method for euler bernoulli and timoshenko beams solved the equation for the deflection moving mass spring damper system nar dynamics of a planar beam beam and distributed spring mass system solved 5 20 points extra credit a nonlocal beams with loading discontinuities beam deflection shear and stress beam deflection shear and stress elasticity problems of beams on multiple breathing s in beams the displacement method springerlink beam deflection shear and stress dynamics of a beam with multiple spring beam equation using matlab a constrained assumed modes method for dynamics of a ed cantilever beam a constrained assumed modes method for new ancf solid beam element nar dynamic behavior of simply ed fgm cantilever beam solve by using matlab and bisection cold formed steel beams the displacement method springerlink multiple breathing s in beams a monolithic finite element formulation new ancf solid beam element multiple breathing s in beams beam and distributed spring mass system using displacement boundary conditions