Transactions . Fig. 10.—Stresses Produced by a Direct Strain. amount and opposite sign. The shearing stress required for f 9f this is obtained by multiplying the strain-^ by 2m ^- . Pea-soning as before, the coefficient of elasticity sought is therefore 4fc I 3^~2F = K + , (4) 3« + 3« For glass, therefore, A = 9,700,000. THE LAWS OF JOINTING. 107 of The stress at right angles to the direction of strain is f — —-. oK The ratio of this stress to the stress in the direction of the strain istherefore: 3 — 2m i = 1-^3« !+! 3« + V (5) For glass, therefore, i = No Stress in One Directi
Transactions . Fig. 10.—Stresses Produced by a Direct Strain. amount and opposite sign. The shearing stress required for f 9f this is obtained by multiplying the strain-^ by 2m ^- . Pea-soning as before, the coefficient of elasticity sought is therefore 4fc I 3^~2F = K + , (4) 3« + 3« For glass, therefore, A = 9,700,000. THE LAWS OF JOINTING. 107 of The stress at right angles to the direction of strain is f — —-. oK The ratio of this stress to the stress in the direction of the strain istherefore: 3 — 2m i = 1-^3« !+! 3« + V (5) For glass, therefore, i = No Stress in One Direction and No Strain in Another Direction.—Another case of geological strain is that of an applied stress in onedirection, no strain in a second direction and no increment of force inthe third Fig. 11.—A Common Geological Strain System. Fig. 11 shows how such a system may be made up of a unit bulkstrain, a shear from y to x and another from z to x. The resultantcoefficient in the direction x will be 2 + G = 3« (6) 3* + 2m For glass, therefore, G- = 8,100,000. 108 THE LAWS OF JOINTING. The ratio of collateral to lateral stress is (7)
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Keywords: ., bo, bookcentury1800, bookdecade1870, booksubjectmineralindustries
