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

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written 7.8 years ago by

teamques10 ★ 70k

• modified 7.6 years ago

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1. Suppport reaction calculation

$\sum M_A=0(\circlearrowright+ve)[ For\ UDL\ only]\\ -M_A+12\times5\times\frac{5}{2}=0\\ \boxed{M_A=150\ kNm}\\ \\ \sum M_A=0(\circlearrowright+ve)[For\ point\ load]\\ -M_A+24\times2=0\\ \boxed{M_A=48\ kNm} $

2. Draw BMD $ [\circlearrowright| \circlearrowleft+ve]$

$B.M_A=150\ kNm [For\ UDL]\\ B.M_A=48\ kNm[For\ point\ load]\\B.M_B=12\times3\times\frac{3}{2}=\underline{54\ kNm} $

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3.$\frac{M}{EI}$ diagram

$\underline{conjugate\ beam}$

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3. Conjugate beam calculation

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

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