are the components of a constant vector having a fixed direction; while (4) shows that the vector resultant of y, y, y moves as if subject to a couple of components x Wx V, x Ux W, x V-x U, (Io) and the resultant couple is therefore perpendicular to F, the resultant of x, x, x, so that the component along OF is constant, as expressed by (iii).

0070, at a distance x from the vertex, the horizontal component of the resultant (tangent to the curve) will be unaltered; the vertical component V will be simply the sum of the loads between 0 and F, or wx.

00resultant tension along the chain at F, the vertical force V passing through the point D, and the horizontal tension at O; hence H: V = DC: FC = wx 2 /2 y: wx = x/2.

00If we take A as origin and AN as axis of x, the weight of AP may be denoted by wx, where w is the weight per unit length at A.

00° o ?wx ?? ?

00As a result of this theory, in the case of a retaining wall supporting a vertical face of earth beneath an extended horizontal plane level with the top of the wall, we get p _ wx 2 1 - sin ii 2 I +sin P' [[Reservoir Empty Reservoir Full Ellipses Of Vertical Pressures On Horizontal Joints]].

00That the pressure so given exceeds the maximum possible pressure we do not doubt; and, conversely, if we_put wx 2 I +sin 2 .I - sin ¢' we may have equal confidence that will be less than the maximum pressure which, if exerted by the wall against the earth, will be borne without disturbance.

00Ã‚° o ?wx ?? ?

00

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