Question 1

Beam ABC carries a distributed load and rests on the cantilever beam DCE. Using the method of superposition, each beam can be considered separately, Case 1 and 2 as shown, and then their individual behaviours can be combined to give the behaviour of the entire structure.

The equation describing the distributed load is 

According to the following descriptions of symbols, match the correct equations with each symbol:

  : the deflection of the point B (at L/2) in beam ABC for Case 1 (without considering the movement of the support at C).

 : the reaction force at point C for beam ABC, that in turn acts as an applied load at point C for beam DCE.

 : the deflection of the point C (at L/2) in beam DCE for Case 2.

 :the slope of the point C (at L/2) in beam DCE for Case 2.

 : the deflection of the point D in beam DCE for Case 2.

 : the vertical displacement of the point B due to both deflection, translation and rotation.