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    Body Building Science Journal Vol. 2, No. 4, 2010

    39

    Measuring the Quality of Execution for Exercises in Bodybuilding

    Prof. Ion IVAN, PhD

    Academy of Economic Studies, Bucharest, Romania

    [email protected]

    Mihai GEORGESCUAcademy of Economic Studies, Bucharest, Romania

    [email protected]

    Daniel MILODIN, PhD

    Academy of Economic Studies, Bucharest, Romania

    [email protected]

    Abstract:Body building training exercises and programs are presented. The structure

    of an exercise is described. The quality characteristics for body building exercises are

    highlighted. Exercises and programs in bodybuilding are deeply analyzed. Indicators for

    measuring the quality of execution for exercises are computed. The correlation between theexecution quality and the results obtained by athlets is analyzed. For a qroup of exercises the

    choosen metric is validated. Various measurements are gathered from the athlets on which

    different mathematical models are computed that show the evolution of an athlete over time.

    Keywords: exercises, quality, metric, correlation, bodybuilding, programs, training,

    indicator.

    1. Training exercises and programs in bodybuildingGood training exercises and programs are hard to find and the majority of beginners

    are anxious to obtain quick results, thus they are looking for programs that promise miracleresults. They want to train hard in order to be better than the other athletes. Most of the times,

    the initial enthusiasm leads to hard and difficult training programs without giving the body

    enough time to rest. These athletes are not aware that without enough time to rest the muscles

    are not growing. Many athletes that begin their trainings with such a high pace end up

    injuring themselves and using their energy before getting the desired results from these

    exercises.

    It is mandatory for the beginners to define a balanced training program that includes

    various types of exercises as well as enough time for resting.

    In order to maintain the body in shape, the right amount of proteins, healthy fat,

    carbohydrates, vitamins and minerals must be consumed. Athletes must eat a higher quantity

    of proteins than regular people because protein is at the base of the muscle mass and it is

    required for the regeneration of the muscles that are broken during intense workout.Once the eating regime has been choose in order to do the trainings, it is time to select

    an exercise program to train the muscles without overworking them.

    In table 1, a variety of training exercises organized by muscle groups is presented:

    Table 1. Various muscle groups exercises [1]

    Muscle Group Exercise

    Neck Lying Face Down Plate Neck Resistance

    Lying Face Up Plate Neck Resistance

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    Seated head harness neck resistance

    Shoulders Arnold Dumbbell Press

    Barbell Shoulder Press

    Cable Seated Lateral Raise

    Cambered bar lying row

    Dumbbell Raise

    Front Dumbbell RaiseFront Plate Raise

    Lying Rear Delt Raise

    Chest Butterfly

    Barbell Bench Press - Medium Grip

    Cable Crossover

    Dumbbell flies

    Pushups

    Smith Machine Bench Press

    Wide-Grip Barbell Bench Press

    Wide-Grip Decline Barbell Pullover

    Biceps Alternate Hammer Curl

    Barbell CurlConcentration Curls

    Drag Curl

    Dumbbell Bicep Curl

    Incline Dumbbell Curl

    One Arm Dumbbell Preacher Curl

    Forearm Plate Pinch

    Seated One-Arm Dumbbell Palms-Up

    Wrist Curl

    Palms-down dumbbell wrist curl over a

    bench

    Palms-down wrist curl over a bench

    Dumbbell Lying Supination

    Plate Pinch

    Seated One-Arm Dumbbell Palms-Up

    Wrist Curl

    Abs Cross-Body Crunch

    Ab crunch machine

    Cable kneeling crunch

    Cable lying leg-hip raise

    Cable lying stability ball crunch

    Cable lying straight leg-hip raise

    Cable seated crunch

    Lever seated crunchLever seated crunch grip less

    Lever seated hip raise crunch

    Weighted ball crunch

    Weighted crunch

    Weighted crunch up

    Weighted hanging leg-hip raise

    Quads Barbell Full Squat

    Barbell Lunge

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    Barbell hack squat

    Dumbbell Squat

    Front Barbell Squat

    Narrow Stance Leg Press

    Calves Seated Calf Raises

    Donkey Calf Raises

    Dumbbell Seated One-Leg Calf RaiseRocking Standing Calf Raise

    Standing Dumbbell Calf Raise

    Traps Standing Dumbbell Upright Row

    Dumbbell Shrug

    Upright Cable Row

    Upright Row - With Bands

    Calf-Machine Shoulder Shrug

    Triceps Triceps Pushdowns

    Decline EZ Bar Triceps Extension

    Dips - Triceps Version

    Close-grip bench press

    Lying triceps pressBench dips

    Incline Barbell Triceps Extension

    Seated Bent-Over Two-Arm Dumbbell

    Triceps Extension

    Smith Machine Close-Grip Bench Press

    The exercises are different depending on the muscle group, for arms and abdomen

    much more are presented.

    The final component of a training program is rest. Rest is essential in order to allow

    the regeneration of muscular fibers that wore thorn during intense workout. If you dont

    allocate enough time for regeneration between trainings, the muscular fibers will tore much

    faster than regenerate. In this way the athlete will feel tired and the results will not be as

    expected. As a rule, the athlete must have at least 48 hours of rest between intense workouts.

    This will lead to higher energy and higher muscular mass.

    Based on the exercises, training programs are created, organized by days having their

    primary goal to help the athlete obtain the desired results. These programs vary depending on

    the level of each athlete, from beginners to professionals. A training program for beginners is

    presented in table 2. In order to obtain the desired results, it is recommended to use

    appropriate weights to be able to obtain a number of 10 to 12 repetitions.

    Table 2. Workout training for beginners [1]

    Day Muscle Group Exercise Repetitions Sets

    Dumbbell Bench Press 10-12 2Butterfly 10-12 2

    Military Press 10-12 2

    Triceps Pushdowns 10-12 2

    Lying Triceps Press 10-12 2

    Side Lateral Raises 10-12 2

    Seated Dumbbell Curls 10-12 2

    Lat Pulldowns 10-12 2

    Monday Upper Body

    One-Arm Dumbbell Rows 10-12 2

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    Dumbbell Shrugs 10-12 2

    Leg Press 10-12 3

    Leg Extensions 10-12 2

    Seated Leg Curls 10-12 2

    Lying Leg Curls 10-12 2

    Standing Calf Raises 10-12 3

    Seated Calf Raises 10-12 2Ab Crunch Machine 10-12 2

    Tuesday Lower Body

    Crunches 15-20 3

    Wednesday Rest

    Chinups 10-12 3

    Seated Cable Rows 10-12 2

    Upright Cable Rows 10-12 2

    Lateral Raises 10-12 2

    EZ-Bar Curls 10-12 3

    Hammer Curls 10-12 2

    Incline Dumbbell Press 10-12 2

    Cable Crossovers 10-12 3Military Press 10-12 2

    Dips 10-12 2

    Thursday Upper Body

    Rope Pushdowns 10-12 3

    Donkey Calf Raises 10-12 2

    Standing Calf Raises 10-12 2

    Seated Leg Curls 10-12 2

    Standing Leg Curls 10-12 2

    Leg Press 10-12 2

    Hack Squats 10-12 2

    Ab Crunch Machine 10-12 2

    Friday Lower Body

    Crunches 15-20 3

    Saturday Rest

    Sunday Rest

    A beginner must be interested of doing the exercise correctly and not of how big the

    weights he can lift. Some types of exercise are more demanding for the muscles than others,

    thats why it is recommended that the rest time between sets to be longer.

    In the next chapters it will be demonstrated how the quality of exercises influences the

    obtained results.

    2. Quality characteristics of exercisesThe quality of exercise execution is very important because it contributes in reaching

    the following targets:

    - growing the muscles targeted by an exercise: many athletes quit trainings because they

    didnt obtain the desired results; the execution of exercises doesnt guarantee the

    growth of muscular mass;

    - avoiding accidents: the incorrect alignment of shoulders as well as back pain are very

    common among athletes that are not executing correctly the exercises;

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    - the usage of body energy in an efficient way: because of an incorrect execution of

    exercises, the results are not as expected, thus a big part of the used energy is wasted.

    Correctness of execution defines the way an exercise is executed correctly in order to

    obtain a high level of performance. Any exercise when is defined, it must specify the correct

    way of execution. As it is described in [3], the level of correctness is evaluated using images.

    Any position that differs from the correct image is considered correct in a degree directly

    proportional with the distance (difference) between the correct position and the incorrect one.In figure 1 it is schematically presented the correct position, both starting position and

    final position, of executing a pushup. In order to consider the execution of a pushup with a

    high degree of correctness, it must meet the reference positions.

    Fig. 1. Correct pushup starting and finishing posture

    In order to consider correctly a training program, the number of repetitions must be

    defined correctly to obtain the best results. Moreover, each set of repetitions must be executed

    based on the correct posture.

    The correct sitting position, which is at the base of a lot of exercises, is presented in

    figure 2.

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    Fig. 2. Different standing posture

    The complexity of exercises and training programs represents the degree of difficulty

    needed for correctly executing the exercise or program. The complexity of exercises must be

    adapted to the level of experience that every athlete has. The inexperienced athletes are

    tempted to execute complex exercises hoping for obtaining quick results. This approach is not

    recommended because it leads to accidents and incorrect executions.

    An example of an indicator that measures the complexity of exercises is C, computedwith the following formula:

    222121 loglog nnnnC +=

    where:

    1n - the number of body moves to perform that exercise

    2n - the number of muscle groups involved in the exercise

    Flexibility of training programs and exercises is the quality characteristic that defines

    the level in which a program is able to adapt but still giving the same results.

    Intelligibility of an exercise represents the necessary effort required to understand the

    logical concepts by which an exercise is composed as well as their role in obtaining thedesired results.

    An example of an indicator that measures the intelligibility of exercises is I, computed

    with the following formula:

    M

    NI=

    where:

    N - represents the number of athletes that correctly understood the exercise

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    M - total number of athletes

    Repeatability of executing an exercise during a training program defines the optimal

    number of executions in order to obtain a high level of performance. To obtain high results

    for the same group of muscles, the exercises are grouped in sets, every set containing a

    number of repetitions.

    Reproducibility of an exercise represents the easy by which an exercise is executedaccording to its definition.

    An example of an indicator that measures the reproducibility of exercises is R,

    computed with the following formula:

    executions

    athletes

    M

    NR =

    where:

    N - represents the number of athletes that executed the exercise

    M - total number of correct executions

    Progressivity of exercises, the athlete moves from one exercise to another increasingthe weights. It this way, it obtains an intense workout of the muscles, following a well defined

    training program.

    Similarity of two or more exercises is the characteristic by which the exercises manage

    to give the athlete similar results for the targeted muscle group.

    Continuity and discontinuity during the execution of exercises represents the moment

    of time at which the maximum levels of concentration are reached and when the athlete must

    maintain the statically position for a period of 2 to 4 seconds.

    Fig. 3. Correct movement for executing biceps exercise [4]

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    In figure 3, the correct execution, including the starting and finishing posture of a

    biceps exercise is presented. Following this movement the highest results are obtained, the

    level of execution being the highest.

    3. Indicators for measuring the quality characteristics of exercisesThe level of quality is analyzed using the following indicators:

    - the number of repetitions for each exercise;

    - the number of sets included in each training program;

    - the way in which the athlete executes the exercises taking into consideration the

    correct position in each key stage of the execution;

    - the weights used for each exercise.

    Based on these indicators, grades are given for each exercise like very good, good,

    satisfactory and unsatisfactory. Based on these grades, a trainer or referee evaluates and

    differentiates the athletes. Depending on the deviations from the correct execution, the

    corresponding grade is given.

    Table 3. Example of describing the very good grade for pushups exerciseCharacteristic Description for very good Execution errors

    Number of repartitions 30

    Number of sets 3

    Correct position as in figure (not available)

    The deviation between the optimum execution indicator and the real one is computed

    as a distance (difference) between the optimum value of the indicator and the measured value:

    iii MN = i = n,1 (1)

    where:

    iN - the number of optimum repetitions of the training

    iM - the number of measured repetitions of the training

    Starting from the formula (1), the grades in table 4 are defined for a pushups training

    program.

    Table 4. Grade definition for several characteristics of a pushups training program

    Characteristic Very good Good Satisfactory Unsatisfactory

    Number of repetitions 0= [ ]2,1 [ ]4,3 5 Number of sets 0= 1= 2= 3= Correct position 0= [ ]2,1 [ ]4,3 5

    Using the above grades it is demonstrated how two athletes are compared, both

    executing a pushups program.

    Table 5. Giving grades for a pushups training program

    Characteristic Optimum

    valueAthlete 1

    Grade for

    athlete 1

    Athlete 2 Grade for

    athlete 2

    Number of 30 28 Good 27 Satisfactory

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    repetitions

    Number of sets 3 3 Very good 3 Very good

    Correct position not

    available

    not available

    Based on the reference tables for giving grades, athlete 1 obtains better results than

    athlete 2.The athlete is analyzed and the following variables are computed:

    1P- the weight of the number of trainings;

    2P - the weight of the execution quality of the training;

    A - the planned number of trainings;

    B - the performed number of trainings;

    C - the planned grade of the trainings;

    D - the real grade of the trainings;

    The aggregate indicator is defined as:

    +=

    ==

    N

    i ii

    iiN

    i ii

    ii

    DC

    DCP

    BA

    BAP

    NIA

    12

    11 ),max(

    ),min(

    ),max(

    ),min(1

    where:

    N - the number of training days

    ]1,0[IA

    The value of indicator IA for an athlete with the following values is computed:

    A = 20 trainings;

    B = 15 trainings;

    C = 9 grade;

    D = 6 grade;

    N = 10 days of training;1P= 0.4;

    2P= 0.6;

    Applying the formula:

    [ ] 07.04.03.010

    1

    9

    66.0

    20

    154.0

    10

    1

    )6,9max(

    )6,9min(6.0

    )15,20max(

    )15,20min(4.0

    10

    1=+=

    +=

    +=IA

    The indicator belongs to interval [0,1] thus confirming the formula.

    4. Measuring the performance of athletesIn order to compute the level of performance of athletes, various parameters are

    evaluated, like the ones:

    - the circumference - arms, trunk, thighs, legs;

    - the definition - how well the muscle are observed;

    - the symmetry - how symmetric the muscles are.

    In table 6, the evolution of arm size of an athlete measured during a time frame, is

    presented.

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    Table 6. The evolution of arm size of an athlete based on the execution quality of exercises

    IntervalArm size (cm)

    Execution

    quality

    January 1st

    - March 1st

    32 0.7

    March 1st

    - May 1st

    32.5 0.8

    May 1st

    - July 1st

    32.7 0.8July 1

    st- September 1

    st33 0.9

    September 1st

    - November 1st

    33.2 0.8

    November 1st

    - January 1st

    33.5 0.9

    Correlation between Biceps size and Execution Indicator

    0

    0.1

    0.2

    0.3

    0.4

    0.5

    0.6

    0.7

    0.8

    0.9

    1

    31.8 32 32.2 32.4 32.6 32.8 33 33.2 33.4 33.6

    Biceps size

    ExecutionIndicator(I)

    Fig. 4. Correlation between arm size and execution indicator

    In figure 4, one can observe that there is a positive correlation between the arm size

    and the quality of execution. If the quality of execution is higher than the arm size will

    develop more.

    5. Metric validationAn indicator that estimates the growth of an athletes arm is defined. The period on

    which the indicator is analyzed is 1 month and 6 month of execution of exercises presented in

    table 7.

    Table 7. Program for working biceps

    Exercise Repetitions Sets

    Standing Barbell Curls 12-15 3

    Alternating Dumbbell Curls 12-15 3

    Concentration Curls 12-15 3

    EZ Bar Curls 8-12 3

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    Fig. 5. Arm muscles [1]

    There are several approaches for the training programs that vary from athlete to

    athlete. These variations are adapted during trainings.

    Arnold Schwarzenegger trained using the program in table 8. Results show that

    planning the training increases the obtained results. Now, more than ever, the athletes must

    analyze the efficiency of a training program.

    Table 8. Arnold Schwarzenegger training program [10]Mon, Wed, Fri

    Chest:

    Bench press 5 x 6-10

    Flat bench flyes 5 x 6-10

    Incline bench press 6 x 6-10

    Cable crossovers 6 x 10-12

    Dips (body weight) 5 x failure

    Dumbell pullovers 5 x 10-12.

    Back:

    Wide-grip chins (to front) 6 x failure

    T-bar rows 5 x 6-10

    Seated pulley rows 6 x 6-10

    One-arm dumbell rows 5 x 6-10

    Straight-leg deadlifts 6 x 15

    Legs:

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    Squats 6 x 8-12

    Leg press 6 x 8-12

    Leg extensions 6 x 12-15

    Leg curls 6 x 10-12

    Barbell lunges 5 x 15

    Calves:

    Standing calf raises 10 x 10Seated calf raises 8 x 15

    Oneplegged calf raises (holding dumbells) 6x12

    Forearms:

    Wrist curls (forearms on knees) - 4 sets, 10 reps

    Reverse barbell curls - 4 sets, 8 reps

    Wright roller machine - to failure

    Abs:

    hour of a variety of nonspecific abdominal exercises, done virtually nonstop.

    Tues, Thurs, Sat

    Biceps:

    Barbell curls 6 x 6-10Seated dumbell curls 6 x 6-10

    Dumbell concentration curls 6 x 6-10

    Triceps:

    Close-grip bench presses 6 x 6-10

    Pushdowns 6 x 6-10

    French press (barbell) 6 x 6-10

    One-arm triceps extensions (dumbell) 6 x 6-10

    Shoulders:

    Seated barbell presses 6 x 6-10

    Lateral raises (standing) 6 x 6-10

    Rear-delt lateral raises 5 x 6-10

    Cable lateral raises 5 x 10-12

    Calves , Forearms & Abs:

    Same as Monday, Wednesday, Friday workout

    Table 9. Arnold Schwarzenegger top form measurements [11]

    Arms: 22 inches

    Chest: 57 inches

    Waist: 34 inches

    Thighs: 28.5 inches

    Calves: 20 inches

    Weight: 235 pounds

    Height: 6 feet 2 inches

    Based on the statistical analysis on a lot of 25 athletes, the following indicator is

    computed. Its role is to estimate the arm size of an athlete after 1 month of training:

    Lets consider the indicatorArm size estimated =f( exQ , currentC ).

    The indicator is defined as a function having the following formula:

    cQbCaC excurrentestimated ++= *2

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    Based on the measurements of the arm size of 25 athletes, the values for a, b and c are

    computed as:

    118.14*249.4015.02 ++= excurrentestimated QCC

    where:estimatedC - the increase of arm size

    exQ - the execution quality of biceps exercises

    ]1,6.0[exQ the accepted quality must be in this interval

    measuredC - effective arm size, obtained by direct measurements

    The indicator is computed on a lot of athletes presented in table 10.

    Table 10. Measurement values for arm size in 1 month interval

    MeasurementexQ

    currentC measuredC

    estimatedC currentestimated CC

    ),(%10 currentestimated CCMAX

    1 0.7 33 33.7 33.4273 -0.2727 3.37

    2 0.8 35.5 36.2 36.42095 0.22095 3.642095

    3 0.7 34 34.9 34.4323 -0.4677 3.49

    4 0.6 33 33.5 33.0024 -0.4976 3.35

    5 0.8 30 30.9 31.0172 0.1172 3.10172

    6 0.8 30.2 31 31.1978 0.1978 3.11978

    7 0.8 31.3 32.1 32.21255 0.11255 3.221255

    8 0.6 36.1 36.8 36.21555 -0.58445 3.68

    9 0.7 33.2 33.8 33.6259 -0.1741 3.38

    10 0.9 32.1 33 33.39825 0.39825 3.339825

    11 0.7 34.2 35 34.6369 -0.3631 3.5

    12 0.8 38 39 39.1772 0.1772 3.9177213 0.6 37.1 37.4 37.31355 -0.08645 3.74

    14 0.5 28 28.1 28.0025 -0.0975 2.81

    15 0.8 31.6 32.8 32.4956 -0.3044 3.28

    16 0.8 32 33.4 32.8772 -0.5228 3.34

    17 0.9 39 41 40.7571 -0.2429 4.1

    18 0.7 34 34.8 34.4323 -0.3677 3.48

    19 0.7 32 32.5 32.4523 -0.0477 3.25

    20 0.8 33.2 33.8 34.0508 0.2508 3.40508

    21 0.6 31.7 31.8 31.74075 -0.05925 3.18

    22 0.9 33.1 34.2 34.37625 0.17625 3.437625

    23 0.9 33.5 34.634.77585

    0.17585 3.47758524 0.8 32.6 33.7 33.4586 -0.2414 3.37

    25 0.6 34.2 35 34.212 -0.788 3.5

    The estimated arm size and the effective measured arm size after 6 months after the

    first training are compared. The results show that the estimated values are similar to the

    measured ones.

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    Comparison between arm size and estimated arm size - 1 month

    25

    27

    29

    31

    33

    35

    37

    39

    41

    43

    1 3 5 7 9 11 13 15 17 19 21 23 25

    Sportives

    Measured arm size

    Estimated arm size

    Fig. 6. Evolution of estimated and measured arm size for 1 month interval

    Cross-Correlation (1 month)

    25

    27

    29

    31

    33

    35

    37

    39

    41

    43

    25 27 29 31 33 35 37 39 41 43

    Measurement arm size (cm)

    Estimatedarms

    ize(cm)

    Fig. 7. Cross-Correlation between estimated arm size and measurement arm size for 1 month

    interval

    Based on the statistical analysis on a lot of 25 athletes, the following indicator is

    computed. Its role is to estimate the arm size of an athlete after 6 month of training:

    Lets consider the indicatorArm size estimated =f( exQ , currentC ).

    The indicator is defined as a function having the following formula:

    cQbCaC excurrentestimated ++= *2

    Based on the measurements of the arm size of 25 athletes, the values for a, b and c are

    computed as:

    118.14*249.4017.02 ++= excurrentestimated QCC

    where:

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    estimatedC - the increase of arm size

    exQ - the execution quality of biceps exercises

    ]1,6.0[exQ the accepted quality must be in this interval

    measuredC - effective arm size, obtained by direct measurements

    The indicator is computed on a lot of athletes presented in table 11.

    Table 11. Measurement values for arm size in 6 month interval

    MeasurementexQ currentC measuredC estimatedC currentestimated CC

    ),(%10 currentestimated CCMAX

    1 0.7 33 35.6 35.6053 0.0053 3.56053

    2 0.8 35.5 38.6 38.94145 0.34145 3.894145

    3 0.7 34 36.8 36.7443 -0.0557 3.68

    4 0.6 33 35.2 35.1804 -0.0196 3.52

    5 0.8 30 33 32.8172 -0.1828 3.3

    6 0.8 30.2 33.4 33.02188 -0.37812 3.34

    7 0.8 31.3 33.9 34.17193 0.27193 3.4171938 0.6 36.1 38.6 38.82197 0.22197 3.882197

    9 0.7 33.2 35.5 35.83038 0.33038 3.583038

    10 0.9 32.1 35.4 35.45907 0.05907 3.545907

    11 0.7 34.2 36.8 36.97618 0.17618 3.697618

    12 0.8 38 41.8 42.0652 0.2652 4.20652

    13 0.6 37.1 40.1 40.06637 -0.03363 4.01

    14 0.5 28 29.7 29.5705 -0.1295 2.97

    15 0.8 31.6 34.1 34.49272 0.39272 3.449272

    16 0.8 32 34.8 34.9252 0.1252 3.49252

    17 0.9 39 42.5 43.7991 1.2991 4.37991

    18 0.7 34 36.2 36.7443 0.5443 3.67443

    19 0.7 32 34.7 34.5003 -0.1997 3.47

    20 0.8 33.2 36.3 36.25528 -0.04472 3.63

    21 0.6 31.7 33.8 33.75053 -0.04947 3.38

    22 0.9 33.1 36.5 36.56747 0.06747 3.656747

    23 0.9 33.5 36.9 37.02035 0.12035 3.702035

    24 0.6 31.2 32.9 33.21588 0.31588 3.321588

    25 0.9 34 36.8 37.5941 0.7941 3.75941

    The estimated arm size and the effective measured arm size after 6 months after the

    first training are compared. The results show that the estimated values are similar to the

    measured ones.

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    Comparison between arm size and estimated arm size - 6 months

    25

    27

    29

    31

    33

    35

    37

    39

    41

    43

    45

    1 3 5 7 9 11 13 15 17 19 21 23 25

    Sportives

    Measured arm size

    Estimated arm size

    Fig. 8. Evolution of estimated and measured arm size for 1 month interval

    Cross-Correlation (6 months)

    25

    27

    29

    31

    33

    35

    37

    39

    41

    43

    45

    25 27 29 31 33 35 37 39 41 43 45

    Measurement arm size (cm)

    Estimatedarms

    ize(cm)

    Fig. 9. Cross-Correlation between estimated arm size and measurement arm size for 1 month

    interval

    In order to validate the indicator, the difference between currentestimated CC is computed

    and compared to 10% din ),( currentestimated CCMAX .

    If the difference currentestimated CC < 10% * ),( currentestimated CCMAX then the indicator is

    valid.

    As shown in table 10 and 11, the above condition is met for all 25 athletes, whichdemonstrates that the defined indicator is valid.

    6. ConclusionsTraining exercises and programs were presented for various groups of muscles based

    on which analysis was performed to observe if a correlation exists between high performance

    results and execution quality. It was shown that for best results, each exercise must be

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    executed correctly. In this matter, techniques for comparing athletes were presented by

    comparing the correctness of exercises.

    The quality of an exercise influences the obtained results. The higher the execution

    quality the higher the results obtained by the athlete. Based on the execution quality, an

    aggregated indicator was defined, that is able to estimate the growth of arm size of an athlete.

    This indicator is very useful for athletes in order to estimate the arm size over 1 to 6 months

    of training.

    References

    [1] http://www.bodybuilding.com

    [2] http://www.ironage.us/virtual/index.html

    [3] D. Palaghita, Demonstrating the Correctness of Bodybuilding Exercises, Body Building

    Science Journal, Vol. 2, No 2. 2010, ISSN 2066 8007.

    [4] http://www.stayfitbug.com/the-fitness-bug/building-muscles-for-tall-men-vs-building-muscles-for-short-men/

    [5] http://muscleandbrawn.com/mr-olympia-jay-cutler-training-routines/

    [6] D. Milodin, Risk Management in Body-Building, Body Building Science Journal, Vol.

    1, No 2. 2009, ISSN 2066 8007.

    [7] C. O. Manescu, Training Competition Winners Mr. Olympia, Body Building Science

    Journal, Vol. 2, No 1. 2010, ISSN 2066 8007.

    [8] http://www.nhlbi.nih.gov/guidelines/obesity/bmi_tbl.htm

    [9] http://en.wikipedia.org/wiki/Bodybuilding

    [10] http://www.schwarzenegger-interactive.com/workout.html

    [11] http://www.bodybuildinguniverse.com/arnold.htm

    [12] M. Georgescu, Ideal Body Development,Body Building Science Journal, Vol. 2, No 2.

    2010, ISSN 2066 8007.

    [13] http://muscle-building-review.com

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    Authors

    Ion IVAN has graduated the Faculty of Economic Computation and

    Economic Cybernetics in 1970. He holds a PhD diploma in Economics from

    1978 and he had gone through all didactic positions since 1970 when he

    joined the staff of the Bucharest Academy of Economic Studies, teaching

    assistant in 1970, senior lecturer in 1978, assistant professor in 1991 and full professor in 1993. Currently he is full Professor of Economic Informatics

    within the Department of Computer Science in Economics at Faculty of Cybernetics,

    Statistics and Economic Informatics from the Academy of Economic Studies. He is the author

    of more than 25 books and over 75 journal articles in the field of software quality

    management, software metrics and informatics audit. His work focuses on the analysis of

    quality of software applications. He has participated in the scientific committee of more than

    20 Conferences on Informatics and he has coordinated the appearance of 3 proceedings

    volumes for International Conferences. From 1994 he is PhD coordinator in the field of

    Economic Informatics. His main interest fields are: software metrics, optimization of

    informatics applications, developments and assessment of the text entities, efficiency

    implementation analysis of the ethical codes in informatics field, software quality

    management and data quality management.

    Mihai GEORGESCU has graduated the Faculty of Electronics,

    Telecommunications and Information Technology Politehnica University

    Bucharest in 2005 and also completed a master program at the Faculty of

    Economic Cybernetics, Statistics and Informatics from the Bucharest

    Academy of Economic Studies in 2007. He has experience in the

    development of software products using various programming languages like

    C/C++, C# both Windows Forms and Web.

    Daniel MILODIN graduated the Economic Informatics department of theFaculty of Economic Cybernetics, Statistics and Informatics in 2005. He

    followed the master program Projects Computerized Management"

    between 2005 and 2007. He has published several articles in specialized

    magazines, articles focused mainly on studying and implementing the

    concept of orthogonality: the orthogonality of the alphabets, of the Arabic

    digits, of the Latin alphabet, of the distributed informatics applications and of

    the structured entities. The dissertation paper within the master is placed on the same line of

    research, "The projects orthogonality, conditions of entry into the assessment program,

    proposing to define the projects concept of orthogonality, methods for determining the

    degree of similarity between two projects, and also to develop software products for

    identifying similar projects. He is a PhD graduate of the Academy of Economic Studies,

    specialization "Economic Science", with the thesis "The orthogonality of the structured

    entities.