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Distributed loads
Loads are not always point loadsSometimes there are uniformly distributed loads on structures
Distributed loads
Loads are not always point loadsSometimes there are uniformly distributed loads (UDLs) on structures
What are the reactions at the supports A and B
5kNm-1
10m RBRA
Distributed loads
First work out the total load5kNm-1 x 10m = 50kNThis can be considered as acting at the midpoint of the UDL
50kN
10m RBRA
Distributed loadsNow take moments as before about RA or RB
About A
50 x 5 = RB x 10
250 = RB x 10 RB =25 kN
50kN
10m RBRA
10m
10kNm-1
2m
50kN1.
5m
20kNm-12kN3.
5m0.5m
6m
50kNm-1
2m
10kN2.
2m
6m
50kNm-1
2m
4.
2m
50kN
3m
UDL Questions- Find the reactions of the simply supported beams
The roller can only have a vertical reaction Rb
The hinge can supply a reaction force RAat any angle
Start by finding the vertical and horizontal components of the 40N force
Then take moments about A to find RB
FV
FH