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**Structural Mechanics 4 Shear Force, Bending Moment and Deflection of Beams**

20 kN RA RB 3.00m 2.00m

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**Sum of moments about RA = 0**

20 x (2.00) - RB x ( ) = 0 RB x (5.00) = 20 x (2.00) RB = 20 x (2.00) / (5.00) RB = 8.00 kN

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**Sum of moments about RB = 0**

RA x ( ) x (3.00) = 0 RA x (5.00) = 20 x (3.00) RA = 20 x (3.00) / (5.00) RA = kN

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**So likely that calculations are correct!**

CHECK VERTICAL FORCES UPWARD REACTION = RB + RA = = 20 kN DOWNWARD FORCE = 20 kN So likely that calculations are correct!

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**SHEAR FORCE DIAGRAM 8kN 12kN 20 kN 12kN -8kN**

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

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**BENDING MOMENT DIAGRAM**

Space diagram 20 kN 12kN 8kN 24kNm 0kNm 12kN X 2m = 24 kNm 8kN X 3m = 24 kNm

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**12kN 8kN 20 kN Deflection Max deflection at Max BM + 12kN SFD 24kNm**

+ 12kN SFD BMD 24kNm 0kNm

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