Final answer:
The calculation of support reactions for a loaded beam involves using the conditions of static equilibrium, where the sum of vertical forces and moments must equal zero, and applying them to find the reactions at points A and B.
Step-by-step explanation:
The question involves the calculation of support reactions at points A and B for a loaded beam. In order to find these reactions, one must apply the conditions of static equilibrium, which include the sum of all vertical forces being equal to zero and the sum of all moments (or torques) about any point being equal to zero. For a beam that is in static equilibrium under the influence of several forces, the reactions at the supports must counteract the weights and external forces applied on the beam.
To find the support reaction at A, you would sum the moments about point B and set them equal to zero. To find the reaction at B, sum the forces in the vertical direction and set this sum equal to zero. This is a typical problem in the field of Statics, which is a branch of Mechanical Engineering. It requires a fundamental understanding of physics and the ability to apply mathematical equations to physical scenarios.