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The ratio of the stiffness of a member to the total stiffness of all the members meeting at a joint is called as
1. Relative stiffness of the structure
2. Distribution factor of that member
3. Carry over factor for that member
4. Absolute stiffness of that member
5. End correction

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Correct Answer - Option 2 : Distribution factor of that member

Explanation:

Distribution factor (DF)

  • The DF for a member at a joint is the ratio of the stiffness (or relative stiffness) of the member to the total stiffness (or total relative stiffness) of all the members meeting at a joint.
  • The summation of DF for all the members at a joint is one.
  • DF is a property of rigid joint, it is not the property of hinge joint. So, the DF of a hinge joint is always zero.

Carry over factor for that member 

  • It is defined as the ratio of the moment at the fixed far end to the moment at the rotating near the end.
  • Carry over factor = (Carry over moment at the farthest end) / (The applied moment at the near end.)

​Absolute stiffness of that member

  • Stiffness for a member at a joint is the moment (or force) required to produce unit rotation (displacement) at that joint.
  • Stiffness of a member if farther end is fixed = 4EI/L
  • Stiffness of a member if farther end is hinged = 3EI/L
  • Stiffness of a member if farther end is free = 0

​Relative stiffness of the structure

  • It is the compared stiffness value with respect to another material member.
  • Relative stiffness of a member if farther end is fixed = I/L
  • Relative stiffness of a member if farther end is hinged = 3EI / 4L

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