Solve the following three questions of the beam ABCD. Note that A is a fixed end

Question

Solve the following three questions of the beam ABCD. Note that A is a fixed end; B is a pin connection; C is a roller support; and D is a free end. 1) Draw the quantitative influence line for the vertical support reaction at point A; 2) Determine the maximum vertical support reaction that can be developed at point A in the beam due to: a concentrated moving load of 4kN and a uniform moving load of 2kN/m; 3) Draw the bending moment diagram for the beam ABCD subjected to the loading obtained from 2). (The location and magnitude of the maximum bending moment must be calculated) https://s3.amazonaws.com/chegg.media.images/board/35d/35d9e544-a3b1-405e-aa54-47d683842f56-original.png

Explanation / Answer

At A, Let Rx and Ry be the forces.Rx = Fo cos ? = 5000 cos 60 = 2500 N. (Since, At C, the roller is present no horizontal force will act.)?M about A will be zero.Fo sin 60 * (l1+l2+l3) = Rc * (l1+l2)2500?3 * 4.8 = Rc * 3.2 => Rc = 3750?3 N (up)Ry + Rc + Fo sin 60 = 0 => Ry = 1250?3 N (up)For stress at B, ? = Rx/Area. (Area = Contact area of pin with structure = diameter*Thickness of the st

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