Relation Cross Scans

Young Quotient Three-Row Scan

Young modulus is the checked stress-strain quotient, not a free material label. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

A different stress-strain pair can give the same Young modulus

Stress 4 Pa and strain 1 over 4 give modulus 16 Pa with accepted bit 1.

E=σϵ=4 Pa14=16 Pa,accepted=1E=\frac{\sigma}{\epsilon}=\frac{4\ \text{Pa}}{\frac{1}{4}}=16\ \text{Pa},\quad \text{accepted}=1
Young quotient scanDifferent stress and strain ledgers cite the same quotient.stressSource=boundstrainSource=boundmodulus=16 PaacceptedBit=1 bit

A different stress-strain pair can give the same Young modulus

Stress 8 Pa and strain 1 over 2 give modulus 16 Pa with accepted bit 1.

E=σϵ=8 Pa12=16 Pa,accepted=1E=\frac{\sigma}{\epsilon}=\frac{8\ \text{Pa}}{\frac{1}{2}}=16\ \text{Pa},\quad \text{accepted}=1
Young quotient scanDifferent stress and strain ledgers cite the same quotient.stressSource=boundstrainSource=boundmodulus=16 PaacceptedBit=1 bit

A different stress-strain pair can give the same Young modulus

Stress 6 Pa and strain 3 over 8 give modulus 16 Pa with accepted bit 1.

E=σϵ=6 Pa38=16 Pa,accepted=1E=\frac{\sigma}{\epsilon}=\frac{6\ \text{Pa}}{\frac{3}{8}}=16\ \text{Pa},\quad \text{accepted}=1
Young quotient scanDifferent stress and strain ledgers cite the same quotient.stressSource=boundstrainSource=boundmodulus=16 PaacceptedBit=1 bit