A declared linear modulus maps exact strain to exact shear 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

Use a toy linear shear modulus

The checked modulus is 12 Pa and the strain is 1/2.

12 Pa1212\ \text{Pa}\quad\frac{1}{2}
Elastic stress ledgerA toy linear modulus maps strain to shear stress.strainstresslinear

Multiply modulus by strain

The shear stress is 6 Pa.

1212=6 Pa12\cdot\frac{1}{2}=6\ \text{Pa}
Elastic stress ledgerA toy linear modulus maps strain to shear stress.strainstresslinear