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Table 2 Comparisons with, the test results performed by Leonhardt (1965)

From: Shear Resistant Mechanism into Base Components: Beam Action and Arch Action in Shear-Critical RC Members

Specimen

ET1

ET2

ET3

ET4

Beam properties

 f ck (MPa)

27.93

27.93

27.93

27.93

 b w (cm)

30

15

10

5

 d (cm)

30

30

30

30

 a (cm)

105

105

105

105

 a/d

3.5

3.5

3.5

3.5

 ρ (%)

1.40

2.80

4.20

8.40

 ρ v (%)

0.17

0.34

0.51

1.03

 f y (MPa)

460

460

460

460

 fαv (MPa)

314

314

314

314

 V n,f (kN)

140.9

140.9

140.9

140.9

Measured value

 V u (kN)

142.2

116.7

98.1

88.3

 f v at V u (MPa)

161.7

314

314

314

Predicted value

 α u

0.360

0.395

0.415

0.462

 θ u (x = a/2) (°)

44.6

45.4

43.6

41.4

 z x (x = a/2) (cm)

21.04

20.46

20.18

19.63

 f v at V u (MPa)

150.3

315.7

294.2

284.4

V α  = α u V u

51.2

46.6

42.8

41.2

V ci by Eq. (26)

74.5

37.3

24.8

12.4

 V s (kN)

16.5

32.6

34.2

35.9

 V u  = V α  + V ci  + V s (kN)

142.2

116.5

101.8

89.5

 V u Predicted / V u Measured

1.00

0.99

1.04

1.01

 Failure mode

Flexure

Stirrups yielding