Holding displacement fixed while layer height changes shows the inverse side of the strain ratio. 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 two gives one half strain

Hold displacement at 1 metre. A layer height of 2 metres gives shear strain 1/2. This is the denominator view of the same strain ratio.

1/2=121/2=\frac{1}{2}
Shear strain ledgerTop displacement over layer height is checked exactly.heightdisplacement

Four metres halves the strain again

With displacement still 1 metre, height 4 metres gives strain 1/4. A taller layer makes the same top shift less severe.

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

Eight metres lowers the ratio to one eighth

At height 8 metres, the same 1 metre displacement gives strain 1/8. The three rows keep strain below one and show the inverse denominator effect.

1/8=181/8=\frac{1}{8}
Shear strain ledgerTop displacement over layer height is checked exactly.heightdisplacement