Formulas for Structural Dynamics: Tables, Graphs and Solutions

Appendix D: Some Assumed Functions

Boundary condition

Assumed functions

Pinned pinned

Origin at the end of the beam

Cases 3, 4, 5 for symmetric vibration

Origin at the middle of the beam

Clamped free

Origin at the clamped end

Origin at the free end

Clamped clamped

Origin at the end

Clamped pinned

Origin at the clamped end

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