slope of beam

Problem 735
The beam shown in Fig. P-735 is perfectly restrained at A but only partially restrained at B, where the slope is w_oL³/48EI directed up to the right. Solve for the end moments.
 

Problem 704
Find the reactions at the supports and draw the shear and moment diagrams of the propped beam shown in Fig. P-704.
 

Superposition Method

There are 12 cases listed in the method of superposition for beam deflection.

• Cantilever beam with...
  1. concentrated load at the free end.
  2. concentrated load anywhere on the beam.
  3. uniform load over the entire span.
  4. triangular load with zero at the free end
  5. moment load at the free end.
• Simply supported beam with...
  1. concentrated load at the midspan.
  2. concentrated load anywhere on the beam span.
  3. uniform load over the entire span.
  4. triangular load which is zero at one end and full at the other end.
  5. triangular load with zero at both ends and full at the midspan.
  6. moment load at the right support.
  7. moment load at the left support.

See beam deflection by superposition method for details.