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Handbook of Structural Engineering TABLE 2.2 Boundary Conditions for Various End Conditions

End conditions

Boundary conditions

Pinned

y^

= 0,

y '' = 0

Fixed

y^

= 0,

y ' = 0

Guided

y '

= 0,

y ''' = 0

Free

y ''

= 0,

y '''+k2y ' = 0

For a nontrivial solution, we must have

0 0

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