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True or false: a structure with more degrees of freedom in its model always gives a larger base shear.

  • A.True, since every extra degree of freedom adds another force
  • B.True, but only when higher modes are included in the combination
  • C.False, since the number of degrees of freedom has no effect at all
  • D.False, since refining the model changes the distribution of response rather than guaranteeing a larger total

Answer: D

Correct answer: False, since refining the model changes the distribution of response rather than guaranteeing a larger total

A refined model redistributes the response among more modes and represents the structure's behaviour more faithfully; it does not add force. The total mass is unchanged, and it is mass that attracts seismic demand.

Including higher modes may raise or lower the base shear, since their contributions partly cancel - higher modes have sign changes in their shapes. Codes set a minimum base shear precisely because a refined analysis can give a lower value than the simplified method.

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