Holding height fixed while displacement changes shows shear strain as geometry. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

One metre over four gives one fourth strain

Hold layer height at 4 metres. A displacement of 1 metre gives shear strain 1/4.

1/4=141/4=\frac{1}{4}
Shear strain ledgerTop displacement over layer height is checked exactly.heightdisplacement

Two metres over four gives one half strain

The same height with displacement 2 metres gives strain 1/2.

2/4=122/4=\frac{1}{2}
Shear strain ledgerTop displacement over layer height is checked exactly.heightdisplacement

Three metres over four gives three fourths strain

Displacement 3 metres gives strain 3/4. The scan stops before strain reaches one.

3/4=343/4=\frac{3}{4}
Shear strain ledgerTop displacement over layer height is checked exactly.heightdisplacement