A over hanging beam of length 6m is simply supported on a Span 5m with an over hang of 1m in the right hand Portion. It carries a udl of 20 kn/m on a length of 3m From LHS and a two point load of 20kN and 30kN at the distance of 3m and 6m From LHS. Find the Reactions.

Q.A over hanging beam of length 6m is simply supported on a Span 5m with an over hang of 1m in the right hand Portion. It carries a udl of 20 kn/m on a length of 3m From LHS and a two point load of 20kN and 30kN at the distance of 3m and 6m From LHS. Find the Reactions.

 

SOLUTIONS:
Total load = 20×3+20 +30
= 110 kN
Taking moment about A
RB×5 = 30×6+20×4 +( 20×3) 3/2
= 180+80 +90
RBx5 = 350kN
RB = 350/5 = 70kN
RA = Total load – RB
= 110-70
= 40kN
RA= 40kN
RB= 70kN

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