Final answer:
The correct answer for the angle of rotation at support B of a simply supported beam with a uniform load on half of its span is 'c) qL^2 / (4EI)'.
Step-by-step explanation:
The question refers to a simply supported beam with a uniform load on half of its span and asks for the angle of rotation at support B. Within the context of structural engineering and mechanics of materials, the slope at B is determined by the fundamental equations of beam deflection. The correct answer to the question is: 'c) qL2 / (4EI)', where 'q' represents the uniform load intensity, 'L' the length of the span, 'E' the modulus of elasticity, and 'I' the moment of inertia of the beam's cross-section.
The equation to determine the angle of rotation at B is derived from the equations governing the elastic curve of the beam, which are a function of the loading conditions, material properties, and geometry of the beam.