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SAMIH ABBAS KOTTACKAL
par SAMIH ABBAS KOTTACKAL , STRUCTURAL ENGINEER TRAINEE , CASE STRUCTURAL ENGINEERS

Shear center is defined as the point about which the external load has to be applied so that it produces no twisting moment.

ali kelkouli
par ali kelkouli , Head Service , TassiliAirlines

shear stress (since the thickness is small) over the thickness, we have,

SHEAR CENTRE -THECONSTRUCTOR.ORG

The integration being carried out over the portion ‘ab’ of the flange.

The stress per unit length of the centre line of the section,

SHEAR CENTRE -THECONSTRUCTOR.ORG

SHEAR CENTRE -THECONSTRUCTOR.ORG

Therefore, it is seen that q is proportional to u.

The maximum value of clip_image008.

At the junction of the flange and web, the distribution of the shear stress is complicated, so we may assume that the equation clip_image009 holds good for u =0 and u = b.

The average shear stress clip_image010

The longitudinal shear force in the top and bottom of the flange clip_image011

The couple about the z-axis of these shear forces clip_image012

Let us assume that the vertical shear force F acts through point ‘o’, the shear centre at a distance c from O on the centre line of the web.

The twisting of this section is avoided if

SHEAR CENTRE -THECONSTRUCTOR.ORG

SHEAR CENTRE -THECONSTRUCTOR.ORG

which gives the position of the shear centre.

Note: the shear centre for cross-sectional areas having one axis of symmetry, is always located on the axis of symmetry. In the case of the I-beam which is symmetrical about both the x-axis and y-axis, the shear centre coincides with the centroid of the section. The exact location of the shear centre for unsymmetrical sections are complicated and can be located by inspection.

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