85
Journal of Applied Biomechanics, 2013, 29, 85-97
© 2013 Human Kinetics, Inc.
Andrea Biscarini (Corresponding Author) is with the Department
of Surgical, Radiological and Odontostomatologic Sciences,
Medical Physics Section, University of Perugia, and with the
LAMS Laboratory, University of Perugia, Perugia, Italy. Fabio
M. Botti is with the LAMS Laboratory, University of Perugia,
and with the Department of Internal Medicine, Human Physi-
ology Section, University of Perugia, Perugia, Italy. Vito E.
Pettorossi is with the Department of Internal Medicine, Human
Physiology Section, University of Perugia, Perugia, Italy.
Joint Torques and Joint Reaction Forces During Squatting
With a Forward or Backward Inclined Smith Machine
Andrea Biscarini, Fabio M. Botti, and Vito E. Pettorossi
University of Perugia
We developed a biomechanical model to determine the joint torques and loadings during squatting with a
backward/forward-inclined Smith machine. The Smith squat allows a large variety of body positioning (trunk
tilt, foot placement, combinations of joint angles) and easy control of weight distribution between forefoot
and heel. These distinctive aspects of the exercise can be managed concurrently with the equipment inclina-
tion selected to unload specifc joint structures while activating specifc muscle groups. A backward (forward)
equipment inclination decreases (increases) knee torque, and compressive tibiofemoral and patellofemoral
forces, while enhances (depresses) hip and lumbosacral torques. For small knee fexion angles, the strain-force
on the posterior cruciate ligament increases (decreases) with a backward (forward) equipment inclination,
whereas for large knee fexion angles, this behavior is reversed. In the 0 to 60 degree range of knee fexion
angles, loads on both cruciate ligaments may be simultaneously suppressed by a 30 degree backward equip-
ment inclination and selecting, for each value of the knee angle, specifc pairs of ankle and hip angles. The
anterior cruciate ligament is safely maintained unloaded by squatting with backward equipment inclination
and uniform/forward foot weight distribution. The conditions for the development of anterior cruciate liga-
ment strain forces are clearly explained.
Keywords: Smith squat, joint load, cruciate ligaments, line of gravity
Squatting, a fundamental strengthening exercise, is
an integral part of many training programs in sports and
ftness, and is commonly prescribed in rehabilitative inter-
ventions. Squat biomechanics have been the subject of
extensive research studies with particular focus on muscle
activity and safety for knee structures.
1–12
A variety of
different squat techniques and equipment has been devel-
oped over the years to comply with the postural, joint, and
muscular needs and demands of individual people and
special populations. These squat variants are primarily
characterized by different modalities of administration of
the resistance load, which is represented by body weight,
and by the gravitational overload directly provided by
weighted barbells, dumbbells, and belts, or transmitted
to the body by lever and/or cable/pulley systems. The
resistance load system, together with the instantaneous
values of the kinematical parameters, determines muscle
forces, and the joint reaction forces resulting from bony
contact forces and ligament tensions. Knowledge and
control of muscular and joint forces occurring during
exercises is of fundamental importance in the design of
suitable rehabilitation and conditioning programs, as well
as for injury prevention.
13,14
Different equipment imposes specifc degrees of
mechanical constraint to the squat exercise. For example,
in the free barbell squat, the center of mass (C) of the
system consisting of the user’s body and the weighted
barbell should fall between forefoot and heel, and conse-
quently hip, knee, and ankle joint angles take “in-phase”
values which, within small inter-subject variability
ranges, are tightly related to each other. Thus, each phase
of the exercise is characterized by a well-defned joint
torque distribution, i.e., by specifc ratios of the torques
at different joints.
The Smith machine (Technogym, Cesena, Italy) is a
popular piece of equipment used in weight training and
particularly in squat exercises (Smith squat). It consists of
a barbell constrained to move up and down sliding along
rectilinear steel tracks (Figure 1). In the Smith squat,
the tracks’ reaction forces (
R
S
in Figure 1) acting on the
barbell compensate forward or backward imbalances of
C determined by backward or forward foot displacements
or trunk tilts. Therefore, the value of the joint angles may
be changed independently of the other, enabling a wider
range of exercise positions and, concurrently, a wider
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