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Please re-write this up to prevent plagiarism. You can add any points and any sk

ID: 1711326 • Letter: P

Question

Please re-write this up to prevent plagiarism. You can add any points and any sketched diagrams too. thanks

Shear Center is a point through which if the external load passes, then there will not be any twisting of the section. In other words, section will only be subjected to bending. It won't be subjected to Torsion. In general, Shear center lies on the axis of symmetry. So for doubly symmetric section shear center lies at the intersection of the two axes of symmetry. Thus for doubly symmetric sections, shear center coincides with the centroid. If the section has only one axis of symmetry then shear center will lie on that axis at distance eccentric to the non-symmetric axis. In order to determine the position of shear center, the direction of shear flow in a section needs to be known. For most of the regular sections the shear flow is smooth and logical. In other words, the direction of shear flow doesn't get changed abruptly. There are examples where the direction of shear flow changes abruptly. Some important points 1) Shear is taken up by the elements which are parallel to the direction of applied shear. 2) The direction of shear flow in the elements parallel to the applied shear is always in opposite direction to that of applied shear. 3) For a shear acting in the direction parallel to the axis of symmetry, there will be point/s where shear flow will either converge or diverge. Such points can either be called as source or sink. Such points are located at the intersection of the axis of symmetry (passing through the centroid) with the section. 4) The value of shear flow is zero at the points where cross section is open to air.

Explanation / Answer

If we apply load on the beam, When loading is not symmetric (suppose with x-x or Y-Y), Then along with bending moment, additional twisting moment also develop(only when loading is not symmetric, not alsways). That twisting moment develops additional stresses in the beam. Finally it fails. So, to avoid this, we find a solution i.e shear center. If apply load on this point, then there will not be any twisting moments even though structure is not symmetry. For example take a channel section. It's shear center wiil be at outside of the section. If we apply over there, then no twisting moments will develop

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