Page:Great Neapolitan Earthquake of 1857.djvu/190

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SPECIAL PROBLEMS.

cylinder, whose height above the horizontal plane of fracture is , then . If be the modulus of dynamic cohesion—a coefficient representing the length of a prism of the same material, whose weight is equal to the force upon the unit of surface, if suddenly applied, which is sufficient to tear it directly asunder,—then

(XXI.)

or

(XXII.)

1st. In the case of a solid cube, fractured from its horizontal base.

Here

(XXIII.)

therefore

(XXIII.)

2nd. In the case of a solid parallelopiped, fractured from its horizontal base.

Here

(XXIII.)

therefore

(XXIV.)