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Calculate the shear force V and bending moment Mat a cross section located just right of the 4 kN load on the cantilever beam AB shown in the figure.

Find expressions for shear force V and moment M at mid-span of beam AB in terms of peak load intensity go and beam length variables a and L Let a= 5L16.

 Asimply supported beam ABC is loaded at the end of a bracket BDE (see figure). Draw axial-force, shear-force, and bending-moment diagrams for ABC.

The beam ABCD shown in the figure has overhangs that extend in both directions for a distance of 4.2 m from the supports at B and C, which are 1.2 m apart. Draw the shear-force and bending-moment diagrams for this overhanging beam.

A beam with simple supports is subjected to a trapezoidally distributed load (see figure). The intensity of the load varies from 1.0 kN/m at support A to 2.5 kN/m at support B

(a) Draw the shear-force and bending-moment diagrams for this beam. Assume that Mo at B is zero.

(b) Find the required moment Mo at B so that the maximum moment in the beam does not exceed 1.0 kN-m

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