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Title: Occupational


1
Chapter 6
  • Occupational
  • Biomechanics
  • Models

2
Why Model?
  • Models
  • simple representation of complex systems
  • improve understanding
  • even with gross simplifications and assumptions
  • rigid links vs complex anatomy of segment
  • SEM vs multiple muscles of the group
  • If error in the model is too large
  • improve our model parameters
  • TBM in segment, CofM location
  • Increase complexity
  • individual muscles

3
Why Model?
  • Biomechanical model allows to predict potentially
    hazardous loading conditions on NMS components
    without actual subject risk
  • manipulate parameters (loading, geometry)
  • Measure response
  • compare model prediction to real world
  • refine the model (limit interpretation)

4
Why Model?
  • Biomechanical model allows to predict potentially
    hazardous loading conditions on NMS components
    without actual subject risk
  • Provide understanding of Guidelines to improve
    efficiency and safety in the workplace

5
Our application
  • estimate forces acting on different components of
    the body.
  • F gt stress gt injury
  • understanding risk
  • compare force (stress) predicted from model to
    force (stress) known to cause fatigue and/or
    injury
  • Identify dangerous situations and success of
    interventions.

6
Planar Static Biomechanical Models
  • Single-body segment static model -
  • used when no movement no linear or angular
    acceleration is present.
  • standing with a load in the hands.
  • moving at constant velocity (isokinetic)
  • Planar analysis is limited to a 2D analysis.

7
Planar Static Biomechanical Models
  • KEY identify the magnitude of the external
    forces acting on the stationary mass
  • Always gt gravity
  • W mg
  • where
  • weight measured in Newtons
  • mass measured in kg
  • g is the gravitational acceleration (-9.8 m.s-2)

8
Forces is a vector quantity, and has 4
characteristics
  • 1. Magnitude.
  • 2. Direction (-)
  • 3. Line of action.
  • 4. Point of application.

Vector
9
Planar Static Biomechanical Models
  • Consider 10kg load in one-handed lift
  • Since a0, ? forces on the body ???
  • Some other external force must be acting to
    counter the weight
  • Obviously 2nd force is provided by the hand
    pulling up the load

10
Planar Static Biomechanical Models
  • Since the object is not moving, it is defined to
    be in static equilibrium.
  • This means that the additive effect of all
    external forces acting on a mass is zero

11
Planar Static Biomechanical Models
  • Since the object is not moving, it is defined to
    be in static equilibrium.
  • This means that the additive effect of all
    external forces acting on a mass is zero

? F 0
dir
12
Planar Static Biomechanical Models
  • Since the object is not moving, it is defined to
    be in static equilibrium.
  • This means that the additive effect of all
    external torques acting on a mass is zeroa

13
Planar Static Biomechanical Models
  • Since the object is not moving, it is defined to
    be in static equilibrium.
  • This means that the additive effect of all
    external torques acting on a mass is zero

14
Free body diagrams
  • Force vectors are scaled in the drawing to
    indicate magnitude
  • Vectors are orientated in the direction of the
    force (tip)
  • Vectors are aligned on the body to indicate point
    of application and line of action.

15
Solve for force in EACH hand
?F 0
vert
Identify the forces to be summed
Weight 2 hands 0 2 hands - Weight Each hand
- Weight / 2 Each hand - (-98) / 2 Each hand
49 N
16
Planar Static Biomechanical Models
  • Determine force on each hand to hold a 10-kg
    mass in static equilibrium
  • Extend the planar static analysis to estimate the
    elbow forces and moments (torques) with forearm
    horizontal
  • Assumptions
  • Average Anthro Inertia
  • Load applied at CofM of hand
  • Forearm/hand is a single segment

17
Calculate Force at Elbow 1st condition of
equilibrium
W load W fh R elbow 0 R elbow -W load -
W fh R elbow - (-49) - (-15.8) R elbow
64.8 N
18
Joint Reaction Force
  • R elbow 64.8 N
  • The NET tensile force created by ligaments and
    muscles holding the joint together.
  • MUST be present to give a 0 (no translational
    acceleration)

19
Forces acting on the system will cause torque
  • If eccentric to an axis
  • W fh W load
  • Not if centric to an axis
  • R elbow

20
Calculate torque at elbow 2nd condition of
equilibrium
T load T fh T elbow 0 T elbow - (T
load) - (T fh) T elbow - (-49 x .355) - (
-15.8 x .172) T elbow - (-17.4) - (-2.7)
20.1 Nm (CCW, flexion)
21
Net Joint Torque (net moment of force)
  • T elbow 20.1 Nm (CCW, flexion)
  • Present at EACH elbow
  • The NET torque created at the elbow joint by
    muscles.
  • Which muscles?
  • Ignores co-contraction
  • MUST be present to give a 0
  • (no angular acceleration)

22
On own
  • Calculate Rf at elbow and torque at elbow for the
    segment held at the horizontal without the hand
    held load.

23
Arm not at horizontal (20º below)
  • Reaction force at elbow is the same because ...
  • Muscle torque at elbow is decreased because .....

Trig? SOH CAH TOA
24
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25
Two-body segment static model
  • Start at segment with known external force (or
    only one unknown force)
  • FH W fh, R elbow, T fh, T elbow
  • Horizontal position

26
Two-body segment static model
  • Start at segment with known external force (or
    only one unknown force)
  • FH W fh, R elbow, T fh, T elbow
  • Horizontal position
  • Non-horizontal position
  • Note elbow load from task posture

27
Extend model to nonparallel forces
  • Preceding egs. have considered gravity as the
    only source of external forces (parallel force
    systems)
  • What if person is pushing or pulling on a load???
  • Resolve force to orthogonal components
  • horizontal
  • vertical

28
Planar static analysis of internal forces
  • Extend the model technique to estimate the force
    on various musculoskeletal tissues
  • tension within a muscle (SEM) that creates the
    observed moment of force
  • bone on bone force (not just JRF) that accounts
    for the tension in the muscle

29
Planar static analysis of internal forces
  • Needed the point of application and the line of
    action of muscle(s) tendons within the
    musculoskeletal structure
  • Our simplification
  • concept of Single Equivalent Muscle (SEM)
  • only Biceps Brachii acting at the elbow joint,
    inserting 0.05 m from the axis

30
Solve for Biceps Muscle Force
Earlier T load T fh T elbow
0 Becomes T load T fh T biceps
0 Isolate T biceps - (T load) - (T fh) Expand
to F bi x MA bi - (T load) - (T fh) F bi
(- (T load) - (T fh)) / MA bi Substitute F bi
(- (-49 x .355) - ( -15.8 x .172)) /
0.05 Solve F bi 20.1 Nm / 0.05 m F bi 402 N
31
Solve for Biceps Muscle Force
Earlier T load T fh T elbow
0 Becomes T load T fh T biceps
0 Isolate T biceps - (T load) - (T fh) Expand
to F bi x MA bi - (T load) - (T fh) F bi
(- (T load) - (T fh)) / MA bi Substitute F bi
(- (-49 x .355) - ( -15.8 x .172)) /
0.05 Solve F bi 20.1 Nm / 0.05 m F bi 402 N
gt 8x gt HHW
32
Solve for Joint Reaction Force
Earlier W load W fh R elbow 0 Becomes W
load W fh F bi R elbow 0 R elbow -W
load - W fh - F bi R elbow - (-49) - (-15.8) -
(402) R elbow 64.8 - 402 N R elbow -
337.2 N
33
Joint Reaction Force
  • Previous R elbow 64.8 N (no Biceps)
  • Now R elbow - 337.2 N
  • The NET compressive force pushing DOWN on the
    forearm from the humerus (created by muscle
    squeezing the joint together)
  • Minimum MUST be present to give a 0 (no
    translational acceleration)
  • ignores potential co-contraction

34
Planar static analysis of internal forces
  • Technique more complicated if
  • consider gt 1 muscle

35
Planar static analysis of internal forces
  • Technique more complicated if
  • consider gt 1 muscle
  • Overhead Scott Winter, MSSE, 1991
  • determine each muscle contribution
  • move through the ROM (L/T)

36
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37
Models used to calculate Forces
38
Results
39
Planar static analysis of internal forces
  • Compare relative lengths of MAs
  • Hand held load gt muscle
  • To generate equal but opposite torque, force in
    muscle must be greater
  • mechanical disadvantage

40
Multiple-link coplanar static modeling
  • Posture has no effect on calculated JRF, but has
    a very large effect on calculated JMF
  • note JRF constant at 549 N while moment increase
    is approximately 10x
  • Note has not considered the increase in JRF from
    muscle tension to provide the moment (very
    complex musculature)
  • What muscle group active in a), b), c)??
  • What happens to alignment of vertebrae?
  • What happens if load added to hands?
  • What happens if arm/ab used for support?

41
Qualitative Low Back Load
42
Importance
  • Since skeletal muscle responds to the load
    moments (creates the calculated net JMF)...
  • simple static models give insight into what
    postures require
  • specific muscle groups to be active
  • to what relative magnitude each specific muscle
    group must be active

43
Dynamic Biomechanical ModelsHPR 482 Advanced
Biomechanics
  • The introduction of motion into biomechanical
    models introduces two types of complexity
  • kinematics must be quantified
  • position, velocity, acceleration
  • linear and angular
  • must account for inertial force and inertial
    torque in calculations
  • F ma when a ltgt 0
  • T I (alpha) when (alpha) ltgt 0

44
Dynamic biomechanical model
  • Analysis indicates the increased hazard of
    performing dynamic movements.
  • greater force for linear acceleration
  • speed up or slow down
  • greater torque for angular acceleration
  • speed up or slow down
  • Musculoskeletal load increases as speed of
    movement increases
  • greater accelerations
  • Add additional mass ???
  • Additional segments????

45
Summary of dynamic biomechanical models
  • Prudent to encourage workers to develop smooth
    movements that reduce accelerations and
    decelerations, especially if heavy loads are
    being manipulated.

46
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47
Coplanar Biomechanical Models of Foot Slip
Potential While Pushing a Cart.
  • Common activity in workplace
  • mailroom, scrap, TVs, luggage
  • Load may approach max strength
  • Common time to slip
  • What causes slipping???

48
Coplanar Biomechanical Models of Foot Slip
Potential While Pushing a Cart.
  • Common activity in workplace
  • mailroom, scrap
  • Load may approach max strength
  • Common time to slip
  • What causes slipping???
  • Low Friction between sole and surface
  • What prevents slipping???

49
Coplanar Biomechanical Models of Foot Slip
Potential While Pushing a Cart.
  • Common activity in workplace
  • mailroom, scrap
  • Load may approach max strength
  • Common time to slip
  • What causes slipping???
  • Low Friction between sole and surface
  • What prevents slipping???
  • Adequate friction between sole and surface

50
Coplanar Biomechanical Models of Foot Slip
Potential While Pushing a Cart.
  • What is friction??
  • Force that tends to resist slipping
  • Reflects nature of TWO surfaces

Friction u N
mu
51
Coefficient of Friction
Max Limiting Friction
u
Normal Reaction Force
  • property of two materials placed in contact.
  • 0.2 smooth wet 0.9 rough dry

52
Coefficient of Friction
Peak Shear Force
Max Limiting Friction
u
Normal Reaction Force
Peak Normal Force
53
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54
Coplanar Biomechanical Models of Foot Slip
Potential While Pushing a Cart.
  • To prevent slipping
  • What are the peak normal and shearing forces
    expected at the foot/floor contact point?
  • Design footwear and floor surfaces that will
    provide friction under these circumstances.
  • ie provide greater coefficient of friction

55
Materials in Contact
from http//www.fearofphysics.com/Friction/frintr
o.html
56
Typical Coefficients
Sticky
Slippery
57
Extent of problem of falls
Pedestrian-fall accidents have been the second
largest generator of unintentional workplace
fatalities, accounting for nearly 11 and 20,
respectively, of all fatal and non-fatal
occupational injuries in the USA. Redfern et al
(2001). Biomechanics of slips. Ergonomics,
44131138-1166.
58
Workplace falls
59
Friction Manipulation
Occupational Health Safety E-News
03-17-03   Our Safety Tip of the Week is courtesy
of Manuel (Mel) Rosas, a safety consultant for
Carolinas Associated General Contractors. "I
consistently find employers do not have
procedures in place to inspect the soles of the
shoes their employees wear to work. During
walk-around inspections I ask employees to lift
up and show me the bottom of the work shoe
(boot), and I find many with worn or nearly slick
soles. Employers should address this issue to
reduce the risk of injury due to a worn shoe or
boot."
60
Friction Manipulation
floor design
61
How does employee alter pushing action as the
load gets heavier? What does this do to
friction requirements?
62
Special Purpose Biomechanical Models of
Occupational Tasks
  • Model specific areas that are prone to overuse
    and/or traumatic injury
  • low back
  • wrist/hand
  • knee
  • shoulder

63
Low-back biomechanical models
  • NIOSH suggests using the load moment about the
    lumbosacral disc (L5/S1) as the basis for limits
    when
  • lifting
  • carrying loads
  • Why L5/S1
  • 85 to 95 of all disc herniations
  • loads in hands have the largest moment arms
    relative to this axis

64
Earlier, showed
  • Large increase in Net moment at low back with
    lifting
  • What will happen with load in hands?
  • What about anatomical moment??
  • Muscle force erector spinae
  • Moment arm 0.05 m
  • Abdominal pressure
  • pushes torso into extension
  • Role of abdominal muscles??

65
Resultant effect on vertebral column
  • HUGH compressive forces
  • some from the load itself (posture)
  • greatest from the muscle force
  • STRESS on vertebral disk Force / area
  • effect of posture
  • increase force
  • decrease area

66
Low-back biomechanical models
  • Initial calcs used simple back model
  • Cadavers compression forces created
    micro-fractures on intervertebral disks
  • weak spot for potential herniation?
  • Recent models incorporate
  • more muscle groups
  • corrected moment arms
  • relative contribution of each muscle group
  • effect on compressive force?????

67
Low-back biomechanical models
  • NIOSH (1981)
  • recommended that predicted L5/S1 compression
    values
  • above 3400 N be considered potentially hazardous
    for some workers.
  • above 6400 N be considered hazardous for most
    workers.
  • Basis repeated, large compression force may
    increase risk of disc degeneration chronic
    low-back symptoms.
  • NIOSH (1993) to be discussed

68
Summary
  • Models vary in complexity
  • All based on Newton II
  • Require adeptness with Tables
  • Require logical thinking
  • CM locations, Moment Arm length
  • Provide insight to joint muscle loading
  • Underly postural load guidelines
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