Table A2.
Direction cosines (fx, fy, fz) of unit muscle-force vectors for the prime mover muscles during abduction and flexion1
| A. deltoid |
M. deltoid |
P. deltoid |
S. pec major |
M pec major |
I. pec major |
S. lat dorsi |
M. lat dorsi |
I. lat dorsi |
|||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| JA | A | F | A | F | A | F | A | F | A | F | A | F | A | F | A | F | A | F | |
| fx | 0 | –0.461 | –0.461 | –0.574 | –0.574 | –0.797 | –0.797 | –0.200 | –0.200 | –0.355 | –0.355 | –0.347 | –0.347 | –0.990 | –0.990 | –0.716 | –0.716 | –0.554 | –0.554 |
| 30 | –0.790 | –0.455 | –0.690 | –0.591 | –0.939 | –0.931 | –0.454 | –0.446 | –0.498 | –0.501 | –0.328 | –0.350 | –0.980 | –0.995 | –0.708 | –0.780 | –0.533 | –0.624 | |
| 60 | –0.851 | –0.534 | –0.848 | –0.553 | –0.943 | –0.962 | –0.628 | –0.639 | –0.560 | –0.612 | –0.401 | –0.435 | –0.992 | –0.998 | –0.793 | –0.853 | –0.645 | –0.732 | |
| 90 | –0.848 | –0.604 | –0.947 | –0.544 | –0.942 | –0.946 | –0.719 | –0.776 | –0.612 | –0.666 | –0.468 | –0.497 | –0.989 | –0.999 | –0.874 | –0.898 | –0.766 | –0.806 | |
| 120 | –0.946 | –0.738 | –0.991 | –0.518 | –0.990 | –0.928 | –0.756 | –0.839 | –0.581 | –0.658 | –0.500 | –0.509 | –0.945 | –0.990 | –0.912 | –0.902 | –0.833 | –0.822 | |
| fy | 0 | –0.003 | –0.003 | –0.530 | –0.530 | –0.052 | –0.052 | 0.385 | 0.385 | 0.827 | 0.827 | 0.913 | 0.913 | –0.016 | –0.016 | 0.045 | 0.045 | 0.067 | 0.067 |
| 30 | 0.095 | –0.243 | –0.566 | –0.751 | –0.108 | –0.058 | 0.355 | 0.226 | 0.793 | 0.756 | 0.908 | 0.896 | –0.045 | –0.070 | 0.040 | 0.061 | 0.062 | 0.087 | |
| 60 | 0.132 | –0.434 | –0.386 | –0.807 | –0.112 | –0.094 | 0.404 | 0.219 | 0.793 | 0.749 | 0.871 | 0.830 | 0.004 | –0.063 | 0.049 | 0.032 | 0.072 | 0.065 | |
| 90 | 0.152 | –0.546 | –0.279 | –0.825 | –0.102 | –0.146 | 0.484 | 0.318 | 0.782 | 0.742 | 0.816 | 0.769 | 0.132 | –0.034 | 0.033 | –0.004 | 0.041 | 0.019 | |
| 120 | 0.159 | –0.619 | –0.106 | –0.841 | –0.116 | –0.242 | 0.588 | 0.463 | 0.810 | 0.750 | 0.770 | 0.749 | 0.307 | 0.136 | –0.004 | –0.017 | 0.008 | –0.005 | |
| fz | 0 | 0.888 | 0.888 | 0.625 | 0.625 | 0.602 | 0.602 | 0.901 | 0.901 | 0.435 | 0.435 | –0.217 | –0.217 | –0.141 | –0.141 | –0.697 | –0.697 | –0.830 | –0.830 |
| 30 | 0.606 | 0.857 | 0.451 | 0.293 | 0.327 | 0.359 | 0.817 | 0.866 | 0.350 | 0.422 | –0.261 | –0.275 | –0.194 | –0.077 | –0.705 | –0.623 | –0.844 | –0.777 | |
| 60 | 0.508 | 0.726 | 0.363 | 0.209 | 0.313 | 0.255 | 0.665 | 0.737 | 0.242 | 0.254 | –0.284 | –0.348 | –0.130 | –0.017 | –0.607 | –0.521 | –0.761 | –0.678 | |
| 90 | 0.508 | 0.581 | 0.161 | 0.151 | 0.319 | 0.288 | 0.500 | 0.544 | 0.115 | 0.074 | –0.339 | –0.401 | –0.069 | 0.023 | –0.485 | –0.440 | –0.641 | –0.592 | |
| 120 | 0.282 | 0.269 | 0.078 | 0.158 | 0.079 | 0.283 | 0.288 | 0.287 | –0.076 | –0.068 | –0.396 | –0.425 | –0.112 | –0.048 | –0.409 | –0.432 | –0.553 | –0.569 | |
JA, joint angle (degrees); A, abduction; F, flexion.
Corrections added after publication 28 May 2009. The sign convention of fx in Table A2 was changed so that the negative direction represents the medial (compressive) direction. Directional cosines at 0 degrees of abduction and flexion were adjusted to represent unit vector values, consistent with all other joint angles.