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Using Moment Area Method OR Conjugate Beam Method, determine in terms of EI, the slope and deflection at the free end C of an overhang beam loaded as shown.

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Subject: Structural Analysis 1

Topic: Deflection Of Statically Determinate Structures Using Geometrical Methods

Difficulty: High

1 Answer
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\begin{array}{l} \sum V=0 \ R_{A}+R_{B}=30 \mathrm{kN} \ \sum M_{A}=0 \ \left(R_{B} \times 4\right)=30 \times 6 \ R_{B}=45 \mathrm{KN} \ R_{A}=-15 \mathrm{KN} \end{array} BM and M/EI diagram In M/EI diagram as:- \begin{array}{l} R_{A}+R_{B}=\frac{1}{2} \times 30 \times 4+\frac{1}{2} \times 60 \times 2 \ R_{A}+R_{B}=\frac{120}{E I} \end{array} \begin{array}{l} \text M_{BLeft}=0 \ \left(R_{A} \times 4\right)=\frac{1}{2} \times 30 \times …

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