- #1
harvistar
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- 0
I have a 1.5m beam with a uniformly distributed load of 57kn/m acting over 1.2m of the beam (0.6m from the centre of the beam in both directions). I require the maximum moment and the deflection of the beam.
I know the maximum moment equation wl^2/8 and the deflection formula 5wl^4/384EI.
I have done this so far:
Take a cut at the centre:
(sum of the moments @ the cut) = 57*0.6m*0.6m/2 - Va(0.75m) => Va = 13.68
Va = Vb = 13.68kN
57 x 1.2 x 0.6 = 41.04 which does not equate to 27.36 (sum of the forces must cancel)
However, oddly enough 13.68 x 3 = 41.04kN
I am not sure where or how I am going wrong?
Any help is appreciated.
I know the maximum moment equation wl^2/8 and the deflection formula 5wl^4/384EI.
I have done this so far:
Take a cut at the centre:
(sum of the moments @ the cut) = 57*0.6m*0.6m/2 - Va(0.75m) => Va = 13.68
Va = Vb = 13.68kN
57 x 1.2 x 0.6 = 41.04 which does not equate to 27.36 (sum of the forces must cancel)
However, oddly enough 13.68 x 3 = 41.04kN
I am not sure where or how I am going wrong?
Any help is appreciated.