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GATE ME 2016 Set 2 — Question 43

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MCQ+2 / -0.67MediumDeflection of BeamsBeams & ColumnsStrength of Materials

Strength of Materials → Beams & Columns → Deflection of Beams

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Question

A simply supported beam of length 2L2L is subjected to a moment MM at the mid-point x=0x = 0 as shown in the figure. The deflection in the domain 0≤x≤L0 \leq x \leq L is given byw=−Mx12EIL(L−x)(x+c),w = \frac{-Mx}{12 EIL} (L - x)(x + c),where EE is the Young’s modulus, II is the area moment of inertia and cc is a constant (to be determined).
Simply supported beam with moment M at center
The slope at the center x=0x = 0 is
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