Influence Line Qk

Since the expression for shear depends on whether the load P is located to the left or to the right from the section k, then two positions of the load P need to be considered. The procedure of construction of influence line for shear is presented in tabulated form. In the table we show the position of the load (left or right at section k – this is the first line of the table) and part of the beam, the equilibrium of which is considered.

Now let us consider a simply supported beam with overhangs (Fig. 2.6). Assume that section k is located between supports. In order to construct influence line for bending moment and shear at section k, it is necessary to:

1. Ignore overhang and construct corresponding influence line for simply supported beam

2. Extent of the latter until its intersection with the vertical passing through the end of overhang.

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