Transactions . Fig. Produced by Fluid Compressive Fig 7 -Strain Produced by Torsional Stress. The value of 3s the linear component of volumetric elasticity, is,for glass, 17,400,000,1b. per square inch a8 If a shear is applied to a unit cube, Fig. 7, it winshown, by -f. This is equivalent to compressing it along the diago- 104 THE LAWS OF JOINTING. nal BD by an amount f l/2/i and expanding it by an equal amount along the diagonal A C. The proportional compression and expan-sion along the direction of these diagonals are respectively obtainedby dividing the deflection by the
Transactions . Fig. Produced by Fluid Compressive Fig 7 -Strain Produced by Torsional Stress. The value of 3s the linear component of volumetric elasticity, is,for glass, 17,400,000,1b. per square inch a8 If a shear is applied to a unit cube, Fig. 7, it winshown, by -f. This is equivalent to compressing it along the diago- 104 THE LAWS OF JOINTING. nal BD by an amount f l/2/i and expanding it by an equal amount along the diagonal A C. The proportional compression and expan-sion along the direction of these diagonals are respectively obtainedby dividing the deflection by the length of the diagonals. As theselengths are approximately j/jj in each case, the proportional compres- f 1 f sions and expansions are —r= X —7=- = o~- From an inspection of the stress relations in Fig. 8 it will also beseen that a shearing stress f on the unit diagonal is equivalent to two f * compressive forces —7^ and two expansive forces - = on the sides of 1/2 1/2
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