Resources for Structural Engineers and Engineering Students

Selected Problem Answers

  1. For the beams shown below determine the reaction forces and draw the shear and moment diagrams using the slope-deflection method. All elements have the same $EI$ unless otherwise indicated.
  2. Solve Problem 1(a) for the loading shown with the addition of a support settlement of $40\mathrm{\,mm}$ at support C. Assume $E = 200\mathrm{\,GPa}$ and $I=900\times 10^6\mathrm{\,mm^4}$.
  3. Solve Problem 1(c) for the loading shown with the addition of support settlements of $10\mathrm{\,mm}$ at support A, and $30\mathrm{\,mm}$ at support C. Assume $E = 75\mathrm{\,GPa}$ and $I=450\times 10^6\mathrm{\,mm^4}$.
  4. For the frames shown below determine the reaction forces and draw the shear and moment diagrams using the slope-deflection method. All elements have the same $EI$ unless otherwise indicated.
  5. For the frame shown below, determine the reaction forces and draw the shear and moment diagrams using the slope-deflection method if there are support settlements of $10\mathrm{\,mm}$ at support C, and $30\mathrm{\,mm}$ at support D. Assume $E = 200\mathrm{\,GPa}$ and $I=700\times 10^6\mathrm{\,mm^4}$.
  6. Solve Problem 4(a) for the loading shown with the addition of a support settlement of $15\mathrm{\,mm}$ at support A. Assume $E = 200\mathrm{\,GPa}$ and $I=850\times 10^6\mathrm{\,mm^4}$.