a simply supported beam (length= L) is subjected to an upward force= F at the middle , at the same time there is a spring above the top of the beam at the middle too and the spring is subjected to a downward force = - F .
the spring stiffness is k1, beam stiffness k2 (which equal to the force which produce 1mm deflection at the middle of the beam i.e = 48EI/L^3 ).
the spring stiffness is k1, beam stiffness k2 (which equal to the force which produce 1mm deflection at the middle of the beam i.e = 48EI/L^3 ).
the beam can be steel beam UPN 80 , considering weak axis Y (19.4 cm4)
the length of the beam = 1.5 meter
the force = 20 KN
the spring stiffness = 1120 N/mm
the beam stiffness =579 N/mm
the questions:
1-what will be the deflection of the beam and what will be the deflection of the spring
2-can we consider this case as case of two series springs (k1 for the spring &k2 for the beam) then we get k equivalent for , and calculate after the deflection of the spring as F/k1 , and the deflection of the beam as F/K2
OR WHAT WOULD BE THE RIGHT ASSUMPTION to calculate the beam deflection if any
thanks in advance
eng.tarek aly
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