Final answer:
To determine the reactions at pin A and roller D, we can use the principle of equilibrium. The reaction at pin A is equal to the maximum intensity of the distributed load, while the reaction at roller D is zero.
Step-by-step explanation:
The reactions at pin A and roller D can be determined by using the principle of equilibrium. Since the beam is in equilibrium, the sum of the forces and the sum of the moments acting on the beam must be equal to zero.
To find the reaction at pin A, we need to consider only the vertical component of the distributed load. Let's call the reaction at pin A as Ra. The sum of the vertical forces is Ra - w = 0, where w is the maximum intensity of the distributed load. Therefore, Ra = w.
To find the reaction at roller D, we need to consider both the vertical and horizontal components of the distributed load. Let's call the reaction at roller D as Rd. The sum of the vertical forces is Ra - w = 0, as we found earlier. The sum of the horizontal forces is Rd = 0, since there are no horizontal forces acting on the beam. Therefore, Rd = 0.