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A degree of freedom in dynamic analysis is

  • A.a mode of vibration of the structure at its natural frequency
  • B.an independent displacement needed to define the position of the system
  • C.a member of the structure that is free to carry no load at all
  • D.a joint at which the structure has been fully restrained by supports

Answer: B

Correct answer: an independent displacement needed to define the position of the system

A degree of freedom is one of the independent coordinates required to specify the configuration completely - and the number of them fixes the size of the mass and stiffness matrices, and hence the number of modes.

A shear building idealised with one horizontal displacement per floor has as many degrees of freedom as storeys. A mode is a result of the analysis rather than an input to it, and a restrained joint is precisely a point where a degree of freedom has been removed.

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