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\(w = \frac{{ - Mx}}{{12EIL}}\left( {L - x} \right)\left( {x + c} \right)\)Where E is Young’s modulus, I is the area moment of inertia and c is a constant (to be determined).The slope at the centre x = 0 is

A simply supported beam of length 2L is subjected to a moment M at the

1.	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\(w = \frac{{ - Mx}}{{12EIL}}\left( {L - x} \right)\left( {x + c} \right)\)Where E is Young’s modulus, I is the area moment of inertia and c is a constant (to be determined).The slope at the centre x = 0 is
A.	ML/(2EI)
B.	ML/(3EI)
C.	ML/(6EI)
D.	ML/(12EI)
Answer» D. ML/(12EI)

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