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Find the support reactions at Hinge A and Roller B
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written 8.7 years ago by |
Applying static conditions of equilibrium,
∴ΣFx(→+ve)=0∴HA−30cos40=0∴HA=30cos40=22.98kN(→)∴ΣMA≅0(+ve)∴20×2−25×4−30sin40×8+30cos40×1.5+RB×10=0∴RB×10=40+100+154.269−34.472∴RB=(259.797)/10=25.978kN(↑)∴ΣFy(↑+ve)=0∴VA−20−25−30sin40+RB=0∴VA=20+25+19.284−25.978=38.306kN(↑)∴RA=√H2A+V2A=√(22.98)2+(38.306)2=44.67kNθ=tan−1(VAHA)=tan−1(38.30622.98)=59.04°