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

Sum of moments about RA = 0 20 x (2.00) - RB x (2.00 +3.00) = 0 RB x (5.00) = 20 x (2.00) RB = 20 x (2.00) / (5.00) RB = 8.00 kN

Sum of moments about RB = 0 RA x (2.00 +3.00) - 20 x (3.00) = 0 RA x (5.00) = 20 x (3.00) RA = 20 x (3.00) / (5.00) RA = 12.00 kN

So likely that calculations are correct! CHECK VERTICAL FORCES UPWARD REACTION = RB + RA = 8 + 12 = 20 kN DOWNWARD FORCE = 20 kN So likely that calculations are correct!

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

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

12kN 8kN 20 kN Deflection Max deflection at Max BM + 12kN SFD 24kNm + 12kN SFD BMD 24kNm 0kNm