$,.,.$ "Consider a simply supported beam subjected to a uniformly distributed load. According to Euler$-$Bernoulli beam theory, how does the magnitude and distribution of this load affect the bending moment and deflection along the span of the beam? Discuss the implications of varying load intensities on the beam's structural behavior, including maximum bending moment and deflection."

"Consider a simply supported beam subjected to a uniformly distributed load. According to Euler$-$Bernoulli beam theory, how does the magnitude and distribution of this load affect the bending moment and deflection along the span of the beam? Discuss the implications of varying load intensities on the beam's structural behavior, including maximum bending moment and deflection."

"Consider a simply supported beam subjected to a uniformly distributed load. According to Euler$-$Bernoulli beam theory, how does the magnitude and distribution of this load affect the bending moment and deflection along the span of the beam? Discuss the implications of varying load intensities on the beam's structural behavior, including maximum bending moment and deflection."