Table 2 Bite force estimates for Euoplocephalus tutus and Panoplosaurus mirus based on lever mechanics calculations.

From: Divergent strategies in cranial biomechanics and feeding ecology of the ankylosaurian dinosaurs

Muscle

Sagittal angle, α (°)

Coronal angle, β (°)

Fres (N)

Diagonal distance (mm)

q (°)

In-lever (mm)

F(Muz) (N)

F(Ante) (N)

F(Post) (N)

Euoplocephalus tutus AMNH 5405

 mAMEP

38.00

14.00

172.55

59.60

68.10

55.30

33.71

45.17

90.29

 mAMEM

36.00

5.30

188.56

42.70

87.30

42.65

29.55

39.59

79.13

 mAMES

38.00

9.70

243.92

47.70

86.60

47.62

42.01

56.29

112.52

 mPTd

34.00

37.00

229.43

17.60

17.80

5.38

3.40

4.55

9.09

 mPTv

15.00

42.00

586.54

26.20

33.50

14.46

22.94

30.74

61.44

 mAMP

36.00

5.00

121.87

49.10

35.50

31.40

14.07

18.85

37.68

 mPSTs

20.00

20.00

115.12

81.20

38.20

50.40

20.01

26.80

53.58

      

Total

165.69

221.98

443.75

Out-lever (Muz) (mm)

Out-lever (Ante) (mm)

Out-lever (Post) (mm)

       

270.50

201.90

101.00

       

Panoplosaurus mirus ROM 1205

 mAMEP

47.00

29.50

72.97

82.50

75.50

79.87

21.28

30.42

49.99

 mAMEM

45.00

22.00

195.67

61.00

86.70

60.90

43.50

54.63

89.77

 mAMES

49.00

21.00

99.86

56.70

78.20

55.50

20.24

25.39

41.72

 mPTd

49.00

21.00

93.99

13.80

35.20

7.95

2.73

3.43

5.63

 mPTv

11.00

20.00

498.92

21.10

43.30

14.47

26.36

35.33

58.06

 mAMP

51.00

26.00

121.86

60.70

58.30

43.80

19.49

22.62

37.17

 mPSTs

41.00

33.00

69.10

90.20

56.40

69.60

17.56

19.25

31.63

      

Total

151.15

191.07

313.96

Out-lever (Muz) (mm)

Out-lever (Ante) (mm)

Out-lever (Post) (mm)

       

270.50

201.90

101.00

       

Panoplosaurus mirus ROM 1205 (scaled)

 mAMEP

47.00

29.50

102.81

82.50

75.50

79.87

29.98

42.86

70.42

 mAMEM

45.00

22.00

275.04

61.00

86.70

60.90

61.15

76.79

126.18

 mAMES

49.00

21.00

140.55

56.70

78.20

55.50

28.48

35.73

58.72

 mPTd

49.00

21.00

132.10

13.80

35.20

7.95

3.84

4.81

7.91

 mPTv

11.00

20.00

703.30

21.10

43.30

14.47

37.16

49.81

81.84

 mAMP

51.00

26.00

171.18

60.70

58.30

43.80

27.37

31.77

52.21

 mPSTs

41.00

33.00

98.04

90.20

56.40

69.60

24.91

27.32

44.88

      

Total

212.89

269.08

442.16

Out-lever (Muz) (mm)

Out-lever (Ante) (mm)

Out-lever (Post) (mm)

       

270.50

201.90

101.00

       
  1. The third panel shows scaled bite force estimates of Panoplosaurus mirus, calculated from isometrically scaled muscle forces to the same skull surface area as Euoplocephalus tutus.
  2. α, sagittal angle of the muscle. β, coronal angle of the muscle. Fres, resultant muscle force. d, diagonal distance from the mandibular muscle attachment sites to the jaw joint. q, the angle between the muscle line of action and d. F(Muz), muscle force for bite simulated at the tip of the muzzle. F(Ante), muscle force for bite simulated at the anterior tooth position. F(Post), muscle force for bite simulated at the posterior tooth position. Out-lever(Muz), distance from the jaw joint to the tip of the dentary. Out-lever (Ante), distance from the jaw joint to first dentary tooth position. Out-lever (Ante), distance from the jaw joint to last dentary tooth position.