10.5 Practice Problems

  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 $\SI{20}{mm}$ at support B. Assume $E = \SI{70}{GPa}$ and $I=\SI{500E6}{mm^4}$.
  3. Solve Problem 1(c) for the loading shown with the addition of support settlements of $\SI{30}{mm}$ at support B, and $\SI{18}{mm}$ at support C. Assume $E = \SI{100}{GPa}$ and $I=\SI{420E6}{mm^4}$.
  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 $\SI{10}{mm}$ at support C. Assume $E = \SI{200}{GPa}$ and $I=\SI{300E6}{mm^4}$.
  6. Solve Problem 4(c) for the loading shown with the addition of support settlements of $\SI{7}{mm}$ at support A, and $\SI{25}{mm}$ at support C. Assume $E = \SI{100}{GPa}$ and $I=\SI{450E6}{mm^4}$.
  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 $\SI{20}{mm}$ at support D. Assume $E = \SI{200}{GPa}$ and $I=\SI{500E6}{mm^4}$.