Penny Dreadfuls, 1897 · page 118 of 316
Penny Blood: Serial Sensation and Working-Class Entertainment — page 118: what you’re looking at
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cH, 1x.] CRUST NOT FLEXIBLE. 10! Suppose COX to be a vertical section of the trough, CPA the section of the crust whose thickness 1s k, OX, horizontal, the axis of z, OY, vertical, that of y, OM=2, MP=y, PTM=8, r the radius of curvature at P, p the density of the crust, o that of the liquid, p the pressure of the liquid at P, t the force of compression in the crust in the direction of the tangent at P. We may suppose for the present that the flexibility of the crust 1s not impaired by its thickness, y' WA oO T M » 4 Then applying the conditions of equilibrium we obtain the following equations : (1) t=gpk(C—y), where C is an arbitrary constant. (2) p=gpkcos g—*. Let h be the value of the ordinate at the highest point A, and f the depth of a layer of fluid of the density of the crust, which upon a unit of area would produce a pressure equal to the compression at A. Let 6 be the depth of a layer of fluid of the density of the crust, which would produce a pressure equal to the fluid-pressure at A. conniclooolkks (CO)