Determine the reactions at the Supports of a overhanging beam

 

SOLUTION:
Total load = 20+40+20+5×3
= 95kN
Taking moment about A
RB × 4+20×1= 40×1+20×5 +(5×3)(3/2+2)
RB×4 = 40+100+ 52.5 – 20
= 172.5
RB= 172.5/4 = 43.125kN
RA = total load – RB
= 95 – 43.125
= 51.875kN

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