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Question: a steel beam of uniform cross section is simply supported...

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A steel Beam of uniform cross section is simply supported over a span of 5 metres. The beam carries a concentrated load of 60kN at a point 3 metres from the left-hand side of the beam, together with a uniformly distributed load of 18kN per metre run from the left-hand side (x-0) to 1 metres from the right hand side. Take El to be 28 MN/m2. a) Sketch the free body diagram for the beam calculate the reaction at x-0 b) Use Macaulays method to derive from first principles the general equations for 2. 4 marks) (8 marks) deflection and slope for the beam Calculate the value of the deflection at mid span on the beam. Calculate the values of the slope at either end of the beam. 4 marks) (4 marks) c) d)

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