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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 = - Mx (L - x)(x + c) 12EIL
where E is the Young's modulus, I is the area moment of inertia and C is a constant (to be determined).
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ML (2EI) -
ML (3EI) -
ML (6EI) -
ML (12EI)
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Correct Option: C
ΔBA = | |
EI |

= | ![]() | × | × L × 2 | ![]() | |||||
EI | 2 | 2 | 3 | 2EI |
= | |
6EI |
Slope at A = | = | ||
L | 6EI |