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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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Presentation on theme: "Structural Mechanics 4 Shear Force, Bending Moment and Deflection of Beams 20 kN 2.00m 3.00m RARA RBRB."— Presentation transcript:

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

2 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

3 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

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

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

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

7 20 kN 12kN8kN 24kNm 0kNm kN Deflection Max deflection at Max BM SFD BMD


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