A fixed strain isolates the modulus as the source factor for linear elastic stress. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Four pascals at one half strain gives two pascals

Keep strain fixed at 1/2. A toy modulus of 4 pascals gives stress 2 pascals.

412=24\cdot\frac{1}{2}=2
Elastic stress ledgerA toy linear modulus maps strain to shear stress.strainstresslinear

Eight pascals doubles the stress

At the same strain, modulus 8 pascals gives stress 4 pascals. Only the modulus changes between these rows.

812=48\cdot\frac{1}{2}=4
Elastic stress ledgerA toy linear modulus maps strain to shear stress.strainstresslinear

Twelve pascals gives the six-pascal audit stress

The book's base row uses modulus 12 pascals and strain one half, giving stress 6 pascals. This is a toy linear relation, not a tissue law.

1212=612\cdot\frac{1}{2}=6
Elastic stress ledgerA toy linear modulus maps strain to shear stress.strainstresslinear