Selected Problem Answers

1. For the beams shown below determine the reaction forces and draw the shear and moment diagrams using the moment distribution method. All elements have the same $EI$ unless otherwise indicated.
   
2. Solve Problem 1(b) for the loading shown with the addition of a support settlement of $20\mathrm{\,mm}$ at support B. Assume $E = 70\mathrm{\,GPa}$ and $I=500\times 10^6\mathrm{\,mm^4}$.
3. Solve Problem 1(c) for the loading shown with the addition of support settlements of $30\mathrm{\,mm}$ at support B, and $18\mathrm{\,mm}$ at support C. Assume $E = 100\mathrm{\,GPa}$ and $I=420\times 10^6\mathrm{\,mm^4}$.
4. For the frames shown below determine the reaction forces and draw the shear and moment diagrams using the moment distribution method. All elements have the same $EI$ unless otherwise indicated.
   
5. Solve Problem 4(a) for the loading shown with the addition of a support settlement of $10\mathrm{\,mm}$ at support C. Assume $E = 200\mathrm{\,GPa}$ and $I=300\times 10^6\mathrm{\,mm^4}$.
6. Solve Problem 4(c) for the loading shown with the addition of support settlements of $7\mathrm{\,mm}$ at support A, and $25\mathrm{\,mm}$ at support C. Assume $E = 100\mathrm{\,GPa}$ and $I=450\times 10^6\mathrm{\,mm^4}$.
7. For the frame shown below, determine the reaction forces and draw the shear and moment diagrams using the moment distribution method if there is a support settlement of $20\mathrm{\,mm}$ at support D. Assume $E = 200\mathrm{\,GPa}$ and $I=500\times 10^6\mathrm{\,mm^4}$.