1. For the loaded simply supported beam shown:
Note: All parts of this question relate to the beam shown above
(a) Show that the support reactions are RL = 22·2 kN and RR = 32·8 kN. _{4}
(b) Draw the SFD and BMD. Use the table below when evaluating the bending moments. You may add extra values to those shown, if you consider it necessary. ^{32}
(c) Identify the positions of any points of contraflexure. 2
(d) Find the magnitude and position of the maximum bending moment. 2
(e) State if the beam is hogging or sagging where the bending moment is greatest. 2
(f) State the value of the shear force and the bending moment at the midspan of the beam. 2
In crosssection, the beam you are working on is a gantry girder, the maximum bending stress in the girder must not exceed 25 MN/m² and the modulus of elasticity can be assumed to be 210 GN/m².
(g) Determine a suitable size for the beam, selected from standard section tables. 6
(h) Determine the actual value of maximum stress in the chosen beam. 4
(i) Determine the radius of curvature for the chosen beam. 4
(j) Discuss what factors would need to be incorporated into your calculations in order to give more accurate answers, and indicate how this can be achieved. ^{2}
Distance from LHE (m)

Moments (kN x m)

M (kNm)

2



3



4



5



9



11



13



15


