Shear force diagram, Physics

Shear force diagram (SFD) and bending moment diagram (BMD) are a graph of shear force / bending moment plotted against the horizontal axis x, indicating the shear force / bending moment  withstood by the beam section along the length of the beam.

Plot an appropriate shear force diagram and bending moment diagram for each of the following situations, where necessary calculations and expressions may be needed to show the work.

Also, determine the location of the maximum bending moment and its value in each case. If the beams used in these examples have a circular cross-section, with diameter D = 55 mm, calculate the maximum stress produced by the maximum bending moment. The modulus of elasticity of the material is given E = 110 Mpa.

(1). Single point loading and uniform loading on a cantilever beam

2359_Shear force diagram.png

(2). Double point loading and uniform loading on a cantilever beam 

144_Shear force diagram1.png

(3). Point loading and uniform loading on a simply supported beam

2078_Shear force diagram2.png

Posted Date: 3/5/2013 6:25:45 AM | Location : United States

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