Table 4 NRMS errors of each similitude law.

From: A new similitude law for testing scaled RC structures

Earthquake scale factor (SF)

Similitude law

NRMS Error (%)

With exact scale factors and strain ratios

With errors in scale factors and strain ratios (mean value)

0.25

K-M w/ \({\varepsilon _r}={\varepsilon _{rs}}\)\({\varepsilon _r}={\varepsilon _{rs}}\)

65.5

77.1

K-M w/\({\varepsilon _r}={\varepsilon _{rc}}\)\({s_{\sigma s}}\)

63.6

68.3

Kim’s

104.7

91.4

Proposed

15.2

56.5

0.50

K-M w/\({\varepsilon _r}={\varepsilon _{rs}}\)

30.6

57.1

K-M w/\({\varepsilon _r}={\varepsilon _{rc}}\)

77.6

75.3

Kim’s

32.4

56.8

Proposed

7.4

56.3

0.75

K-M w/\({\varepsilon _r}={\varepsilon _{rs}}\)

13.6

53.0

K-M w/\({\varepsilon _r}={\varepsilon _{rc}}\)

63.4

60.7

Kim’s

45.3

54.5

Proposed

8.0

51.7

1.00

K-M w/\({\varepsilon _r}={\varepsilon _{rs}}\)

6.7

39.1

K-M w/\({\varepsilon _r}={\varepsilon _{rc}}\)

56.5

60.2

Kim’s

19.7

35.0

Proposed

4.5

38.9

1.25

K-M w/\({\varepsilon _r}={\varepsilon _{rs}}\)

3.5

35.0

K-M w/\({\varepsilon _r}={\varepsilon _{rc}}\)

46.2

49.0

Kim’s

17.7

38.9

Proposed

1.7

37.4