Resources for Structural Engineers and Engineering Students

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 $I=500\times 10^6\mathrm{\,mm^4}$.