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Published byKeila Corwell Modified about 1 year ago

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Structural Mechanics 4 Shear Force, Bending Moment and Deflection of Beams 20 kN 2.00m 3.00m RARA RBRB

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Sum of moments about R A = 0 20 x (2.00) - R B x ( ) = 0 R B x (5.00) = 20 x (2.00) R B = 20 x (2.00) / (5.00) R B = 8.00 kN

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Sum of moments about R B = 0 R A x ( ) - 20 x (3.00) = 0 R A x (5.00) = 20 x (3.00) R A = 20 x (3.00) / (5.00) R A = kN

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CHECK VERTICAL FORCES UPWARD REACTION = R B + R A = = 20 kN DOWNWARD FORCE = 20 kN So likely that calculations are correct!

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SHEAR FORCE DIAGRAM Space diagram SHEAR FORCE DIAGRAM 20 kN 12kN 8kN 0 12kN -8kN

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BENDING MOMENT DIAGRAM Space diagram 20 kN 12kN8kN 12kN X 2m = 24 kNm 8kN X 3m = 24 kNm 24kNm 0kNm

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20 kN 12kN8kN 24kNm 0kNm kN Deflection Max deflection at Max BM SFD BMD

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