A 356 x 171 US45 steel beam is simply supported at the ends of a span of 5.5 m. The beam carries a safe inclusive UDL of 12kN/m and a point load of 75 kN at mid-span. Calculate the maximum deflection due to this load.
Let:
E = 205 000 N/mm2
I = 12070 cm4
deflection δPL = PL/48EI
deflection δudL = 5wL3/384EI
Solution) As given in the question we have to find the deflection of the simply supported beam which we can find out by applying the formulas for point load and udl and then adding both the deflection As maximim deflection is at the mid span as shown in the following solution-
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