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Using Conjugate Beam method find the vertical deflection at D and slope at A for the S.S beam loaded as shown in figure in terms of EI

Subject : Structural Analysis 1

Topic : Deflection of beam

Difficulty : High

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1 Answer
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1. Support reaction calculation:

MA=0(+ve)50×4VB×5.5=0VB=36.36 kN()FY=0(+ve)VA50+36.36=0VA=13.64()


2. Draw BMD[|+ve]

B.MA=0B.MC=13.64×2=27.28 kNmB.MD=36.36×1.5=54..54 kNmB.MB=0

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3. Draw MEI diagram

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4. Draw conjugate beam and consider MEI diagram as loading on the beam

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$ \sum M_A=0(\circlearrowright+ve)\\ \left( \frac{1}{2}\times2\times\frac{27.28}{EI} \right) \left( …

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