On the Torsion Resulting From Flexure in Prisms With Cross Sections of Uni Axial
On the Torsion Resulting From Flexure in Prisms With Cross Sections of Uni Axial
Andrew Young
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For y> 180 the shear becomes infinite at - = 0. This is the case of the re-entrant angle referred to later a on in this section. The accompanying Table III gives the collected numerical results and in Fig. 4 are diagrams each representing the distribution of shear along the central radius for different sectorial angles. It would be impossible to show adequately in one diagram the comparative distributions of stress for the different sizes of the sectorial angle. It is to be remembered in consid...ering the table and the diagrams that, in accordance with the axes of reference which we have taken, a shear of the material on the fixed side on material on the loaded side of the cross- section is positive when it acts opposite to the direction of load. Our diagrams provide the excess of actual shear over mean shear in terms of mean shear. They indicate the point at which the shear is exactly equal to the mean shear and the value of the shear at the centroid. When y = we have, if A stand for area of section and WjA for mean shear, zz/( W/A) = 1-36^+ 1-2 (2 a \a or the limiting case is a parabola.
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