Point 4 (to 3 significant figures):

Point 5 (to 3 significant figures):

Point 2 (to 3 significant figures):

Point 3 (to 3 significant figures):

Question 2

The beam AB is built in on both ends, and has different flexural rigidity values over its length, as shown.

For the case where its length is , and it carries a point load  and an applied moment , and the value of , provide values for the points indicated on its bending moment diagram below.

Point 1 (to 3 significant figures):

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.

3.2 Select the correct equation for the deflection of the beam below the point load P