Problem 1. Solve the following three questions of the beam ABC. Note that A is a roller support; B is a pin connection; and C is a fixed support.
1) Draw the influence line for the support reaction at A (tabulate value method);
2) Determine the maximum support reaction that can be developed at A in the beam due to: a concentrated moving load of 5kN and a uniform moving load of 4kN/m;
3) Calculate the support reaction at point C for the beam ABC subjected to the loading obtained from 2).
Problem 2. A bridge is composed of the structural system whose configuration is shown in the following figure. The truss is loaded at its top chord panel points by the reactions from a stringer and floor beam system that supports a roadway slab.
1) Use tabulate value method to draw the influence lines for forces in bars BF and BC.
2) If a fully loaded motorised ore carrier with a total weight of 70 kN crosses the bridge, use either increase-decrease method or trial-and-error method to determine the maximum compressive force in bar BF. Assume the truck can only move from the left to the right.
