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Fig. 9. Mid-shaft cross-sectional area (A) and the second moments of area
across the x and y axes (Ixx and
Iyy, respectively) for the emu (A) femur and (B) TBT
versus body mass on logarithmic axes. Femur and TBT mid-shaft
cross-sections from an adult bird (>8 years old, 37 kg) demonstrate the
anatomical position of the axes about which the second moments of area were
typically distributed, where Ixx (closed circles) and
Iyy (open circles) are distributed about the
x–x and y–y axes, respectively. (A) A:
y=32x0.59±0.06
(R2=0.87); Ixx:
y=120x1.38±0.07
(R2=0.95); Iyy:
y=143x1.43±0.08
(R2=0.90). (B), A:
y=26x0.63±0.05
(R2=0.95); Ixx:
y=74x1.37±0.08
(R2=0.93); Iyy:
y=76x1.45±0.07
(R2=0.92). The scaling patterns for the polar moments of
area, J, were omitted for clarity as, being the sum of
Ixx and Iyy, they nearly overlie the
trends for I and scaled very similarly, JFEMUR:
y=264x1.410±0.075
(R2=0.93) and JTBT:
y=150x1.41±0.07
(R2=0.93).