Calculate the reduction in the deflection at the free end

[Sonic Tseh]

Homework Statement

If a s275 533x210x82UB cantilever beam is 3m and it's free end is held up by a s275 35mm diameter steel tie member inclined at 45 degree to the horizontal and attached to the vertical column, calculate the reduction in the deflection at the free end of the beam compared with the cantilever support arrangement before and after. A designed UDL is 70.58kN/m on it.

Relevant Equations

Under Hooke's Law

I can solve the deflection if only cantilever beam by deflection formula, but i have no idea for this question if calculated with a cable support arrangement.

 

[PhanthomJay]

I am not sure of an exact solution, but I would approximate it by treating the distributed load as 2 equal point loads with a value of one half the total distributed load applied at each end of the beam, and by considering the fixed end as a pinned end. Then you can treat the system as a truss and solve for the deflection at the cable supported end by using truss joint deflection methods. That is probably not the best way to do it, but it is the way I would do it, in absence of a tedious hand calc or computer program ( if you trust it).