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Mechanical and structural analysis miscellaneous

Mechanics and Structural Analysis

  1. All members of the frame shown below have the same flexural rigidity EI and length L. If a moment M is applied at joint B, the rotation of the point is
    1. ML
      12EI
    2. ML
      11EI
    3. ML
      8EI
    4. ML
      7EI
Correct Option: B

Stiffness of members,

KBA =
4EI
L

KBC =
3EI
L

KBD =
4EI
L

Rotational stiffness = Sum of stiffness of all member
⇒ K =
11EI
L

Rotation at B, θB =
m
=
ML
k11EL



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