Highlights
Question 1
Determine the magnitude F, the orientation ? and the position X of the resultant of the three actions shown.
Question 2
(a) Determine the location of the principal x-x axis which passes through the centroid C (horizontal axis), and calculate the second moment of areas about both principle axes, Ix and Iy.
(b) Calculate the radii of gyration rx and ry
(c) Calculate the section modulus Zx, and then give the maximum bending stress on the section for a bending moment of 12 kNm about the x-x axis.
Question 3
A girder 10 m long has the cross section shown in Fig. 2 (Question 2) and is simply supported over a span of 6 m. If the maximum direct stress in the girder is limited to 200 N/mm2, determine the maximum permissible uniformly distributed load that may be applied to the girder.
Question 4
A simply supported beam carries two concentrated loads and two uniformly distributed loads as indicated in figure 4.
a) Calculate the support reactions at A and B.
b) Draw the shear force diagram (not necessarily to scale) showing the values at significant points.
c) Calculate the bending moment s at points C and D, as well as the maximum bending moment and draw the bending moment diagram (not necessarily to scale) showing the values at significant points
d) Calculate the position of the point (s) of contra flexure (inflection).
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