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Find the support reactions for the beam loaded and supported as shown in the figure.

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enter image description here

F.B.D :-

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Applying COE,

$ ∴Σ F_y (↑ +ve)=0 \\ ∴ -80+ V_B-100-60+ R_F \cos30=0 \\ ∴ V_B+ R_F \cos30=240…………(I) \\ ∴ ΣM_A \cong 0 ( +ve ) \\ ∴ -80 ×2+ V_B ×3-100 \sin45 ×5-50-60×7+ R_F \cos30×9=0 \\ ∴3V_B+ R_F \cos30×9=983.553…………….(II) $

Solving (I) and (II) simultaneously,

$∴ V_B=196.07 …

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