1. Analyse the building frame subjected to horizontal forces by portal frame method as shown in Figure 1.

<img src='./qimages/13255-1.jpg'>

2. Analyse the continuous beam as shown in Figure 2 by stiffness method. The downward settlements of supports B and C in kN-m units are 1500/EI and 750/EI respectively.

<img src='./qimages/13255-2.jpg'>

3. Analyse the continuous beam as shown in Figure 3 by flexibility method,

<img src='./qimages/13255-3.jpg'>

4. Analyse the portal frame by stiffness method for the frame shown in Figure 4.

<img src='./qimages/13255-4.jpg'>

5. Analyse the non-prismatic beam as shown In Figure 5 by direct stiffness method.

<img src='./qimages/13255-5.jpg'>

6. Analyse the pin jointed plane frame as shown in Figure 6. The flexibility of each member is 0·025 mm/kN. If the member L1U2 of the frame is too long by 2 mm, determine the forces in the members of the frame by self-straining only.

<img src='./qimages/13255-6.jpg'>

Differentiate between stiffness and flexibility methods.

Prove that stiffness matrix is inverse of flexibility matrix.