Methods of Analysis · Structural Analysis · GATE CE

Which of the following statements is true with regard to the flexibility method of analysis.

Flexibility of a structure may be defined as the displacement caused by ----------------- force and stiffness of a structure may be defined as the force required for ----------------- displacement

In flexibility method the unknown quantities are ----------------- whereas in stiffness method the unknown quantities are --------------

For the frame shown in the figure (not to scale), all members (AB, BC, CD, GB, and CH) have the same length, 𝐿 and flexural rigidity, 𝐸𝐼. The joints at B and C are rigid joints, and the supports A and D are fixed supports. Beams GB and CH carry uniformly distributed loads of 𝑤 per unit length. The magnitude of the moment reaction at A is 𝑤𝐿2⁄𝑘. What is the value of 𝑘 (in integer)? ____________

Consider the linearly elastic plane frame shown in the figure. Members HF, FK and FG are welded together at joint F. Joints K, G and H are fixed supports. A counter-clockwise moment M is applied at joint F. Consider flexural rigidity El = 10⁵ kN-m² for each member and neglect axial deformations.

If the magnitude (absolute value) of the support moment at H is 10 kN-m, the magnitude (absolute value) of the applied moment M (in kN-m) to maintain static equilibrium is ___________. (round off to the nearest integer)

Match List - $${\rm I}$$ with List - $${\rm II}$$ and select the correct answer using the codes given below the lists :

Method of Indeterminate structural analysis may be grouped under force method or displacement method. Which of the groupings given below is correct?