Table 1 Similarity scaling ratios.

From: Influence of the inclination angles on the stress distribution in the bottom plate under the deep residual coal pillar

Quantity

Similitude relation

Ratio

Length

\(\:{C}_{l}={l}_{P}/{l}_{M}\)

200

Density

\(\:{C}_{p}={\rho\:}_{P}/{\rho\:}_{M}\)

1.5

Acceleration

\(\:{C}_{g}={a}_{P}/{a}_{M}\)

1

Stress

\(\:{C}_{\sigma\:}={\sigma\:}_{p}/{\sigma\:}_{m}\)

300

Elastic Modulus

\(\:{C}_{E}={E}_{p}/{E}_{m}\)

300

Strength

\(\:{C}_{{\sigma\:}^{S}}={\sigma\:}_{p}^{s}/{\sigma\:}_{m}^{s}\)

300

Strain

\(\:{C}_{\epsilon\:}={\epsilon\:}_{p}/{\epsilon\:}_{m}\)

1

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