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Find the support reactions at Hinge A and Roller B

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Applying static conditions of equilibrium,

ΣFx(+ve)=0HA30cos40=0HA=30cos40=22.98kN()ΣMA0(+ve)20×225×430sin40×8+30cos40×1.5+RB×10=0RB×10=40+100+154.26934.472RB=(259.797)/10=25.978kN()ΣFy(+ve)=0VA202530sin40+RB=0VA=20+25+19.28425.978=38.306kN()RA=H2A+V2A=(22.98)2+(38.306)2=44.67kNθ=tan1(VAHA)=tan1(38.30622.98)=59.04°

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