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A continuous beam ABC is subjected to loads and its shear force and bending moment diagrams are given below. What is the fixing moment at support B?

A continuous beam ABC with a 3 kN point load at D, 2 m from A, supports at A, B and C 4 m apart, and a 1 kN/m load on BC. Below it are the bending moment diagram, with 4 at D, 2.4 (negative) at B and 2 at the middle of BC, and the shear force diagram, with 1.6, 1.4, 2.6 and 1.4.

  • A.1.4 kN-m
  • B.1.8 kN-m
  • C.-2.4 kN-m
  • D.-2.8 kN-m

Answer: C

The bending moment diagram shows the moment at the intermediate support B as 2.4 kN-m with a negative sign, since the moment there is hogging (the shaded region over B is marked negative). The fixing moment at the support is therefore -2.4 kN-m. The positive moments in the figure, 4 kN-m under the 3 kN load and 2 kN-m near the middle of BC, are sagging moments in the spans and are not the moment at the support. The options 1.4 and 1.8 kN-m have no basis in the figure (1.4 is a shear force value), and -2.8 kN-m is not shown.

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