PSES 3411L Soils Laboratory, Exercise 5: Clay Physical Properties
Measuring Soil Cracks
Determining horizontal shrink-swell

The first step is picking axes along which the cracking can be measured. Three axes are noted in the diagram to the right. In the following images, a ruler is laid over the dish along each axes, and the cracking is measured.
vectors along which cracking is measured
Vector 1

The total inside diameter (width) of the petri dish is 52 mm. Summing the crack widths along this vector (the edge of the ruler) from the top right , reveals cracks of 1 mm, 1 mm, 1 mm, 4 mm, 4 mm, and 1 mm for a total of 12 mm of cracks.
cracks along vector 1
Vector 2

Summing the crack widths along this vector (the edge of the ruler) from the far right , reveals cracks of 1 mm, 1 mm, 2 mm, 2 mm, and 6 mm for a total of 12 mm of cracks.
cracks along vector 2
Vector 3

Summing the crack widths along this vector (the edge of the ruler) from the bottom right , reveals cracks of 0.5 mm, 0.5 mm, 2 mm, and 5 mm for a total of 8 mm of cracks.

The mean horizontal cracking in this dish is (12 mm + 12 mm + 8 mm) / 3 = 10.7 mm.

The percent shrinkage is
   (10.7 mm / 52 mm) 100 = 20.6%
cracks along vector 3
Vertical Shrinkage

The dish height is 9 mm, and the saturated paste of bentonite filled the dish. The thickness (height) of the soil is now 3 mm. The vertical shrinkage is
  [(9 mm - 3 mm) / 9 mm] 100 = 66.7%
height shrinkage
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