In our first article1 on scaling in theropod dinosaurs, the longitudinal stress in the leg bones due to supporting the weight of the animal was studied and found not to control the dimensions of the femur. As a continuation of our study of elasticity in dinosaur bones, we now examine the transverse stress in the femur due to locomotion and find that this effect is important for the geometry of the bone. We find that larger theropods (including Tyrannosaurus rex) were less athletic than smaller theropods.

1.
S. A.
Lee
, “
Scaling in theropod dinosaurs: Femoral bone dimensions
,”
Phys. Teach.
52
,
304
306
(
May 2014
). DOI: 10.1119/1.4872416.
2.
J. R.
Hutchinson
and
S. M.
Gatesy
, “
Beyond the bones
,”
Nature
440
,
292
294
(
2006
).
3.
T. F.
Novacheck
, “
The biomechanics of running
,”
Gait and Posture
7
,
77
95
(
1998
).
4.
P. G.
Weyand
,
D. B.
Sternlight
,
M. J.
Bellizzi
, and
S.
Wright
, “
Faster top running speeds are achieved with greater ground forces not more rapid leg movements
,”
J. Appl. Physiol.
89
,
1991
1999
(
2000
).
5.
Readers may view the online appendix at http://dx.doi.org/10.1119/1.4905803 .
6.
A. A.
Biewener
, “
Bone strength in small mammals and bipedal birds: Do safety factors change with body size?
J. Exp. Biol.
98
,
289
301
(
1982
).
7.
C.
Ruff
, “
Femoral/humeral strength in early African Homo erectus
,”
J. Human Evol.
54
,
383
390
(
2008
).
8.
J. O.
Farlow
,
M. B.
Smith
, and
J. M.
Robinson
, “
Body mass, bone 'Strength Indicator,' and cursorial potential of Tyrannosaurus rex
,”
J. Vertebr. Paleontol.
15
,
713
725
(
1995
).
9.
P.
Christiansen
and
R. A.
Farina
, “
Mass prediction in theropod dinosaurs
,”
Hist. Biol.
16
,
85
92
(
2004
).
10.
A. A.
Biewener
, “
Scaling body support in mammals: Limb posture and muscle mechanics
,”
Sci.
245
,
45
48
(
1989
).

Supplementary Material

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