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Using conjugate beam method find slope at C & deflection at C for a cantilever beam as shown in figure.

Subject : Structural Analysis 1

Topic : Deflection of beam

Difficulty : HIgh

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1 Answer
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1. Suppport reaction calculation

MA=0(+ve)[For UDL only]MA+12×5×52=0MA=150 kNmMA=0(+ve)[For point load]MA+24×2=0MA=48 kNm


2. Draw BMD [|+ve]

B.MA=150 kNm[For UDL]B.MA=48 kNm[For point load]B.MB=12×3×32=54 kNm_

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3.MEI diagram

conjugate beam_

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3. Conjugate beam calculation

$\sum F_Y=0(\uparrow+ve)\\ v_c=Total\ load\\ load\ …

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