A simply supported beam of length 2L is subjected to a moment M at the mid-point x=0 as shown in the figure. The deflection in the domain 0 ≤ x ≤ L is given by
Where E is the Young’s modulus, I is the area moment of inertia and c is a constant (to be determined)
The slope at the center x = 0 is
(a) ML/(2EI) (b) ML/(3EI)
(c) ML/(6EI) (d) ML/(12EI)