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Words: | Submitted: Mon Jun 19 2006
... C respectively. If AB=1m and BC=2m, using Macaulay's method find the deflection under each load and the position and magnitude of the maximum deflection. E and I are 200GN/m2 and 85 x 10-6m4 respectively. Answer 2 Fig. 1 - Drawing of problem First, take moments about Ra, CW=CCW So, Therefore, Rb=28kN & Ra=60kN. Taking bending moments about XX, Therefore, By integration, And, Considering what is happening on the beam, * When x=0 then y=0 then B=0 * When x=6 then y=0 and (found by substituting 6 for x in EIy equation) So, ......(i) and, ......(ii) To find the deflection under each of the point loads the second equation is used and the distances from Ra are placed into it in place of x. So, when x=1 It is raised by 103 because the rest of the calculation is worked in kilonewtons. Therefore, When x=3 So, Now the deflections under each load have been determined the maximum deflection and its location along the beam can now be calculated. So, To find point of maximum deflection use equation (i) and ...
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