**Overview**

This document outlines the BME/ISE 3211 *Human Biomechanics I *Course Project in which biostatics analysis is used to design rehabilitation parameters for a patient with a torn distal biceps tendon. Each student will construct a free-body diagram of the human elbow/tendon system, perform static analysis of the system with an external load placed in the hand, calculate theoretical tendon tensions for a set of specified angles and loads, display data graphically, and design rehabilitation parameters within constraints set by an injury specialist. A formal report is to be submitted with all relevant info and conclusions.

**Background**

You are a consulting biomedical/industrial engineer assisting an employer in a prominent regional manufacturing company. An employee has torn a distal biceps tendon and must undergo rehabilitation. An injury specialist has performed tests and advises that the injured tendon should not be subjected to forces exceeding 500 N during rehabilitation.

The employee’s job requires routine handling of parts ranging from 2-6 kg. During manipulation of these parts, the employee must extend the arm with supinated palm and hold the forearm in a horizontal position such that the angle between the long axis of the upper arm and the forearm ranges from 30°-70°. Your task is to perform biostatics analysis to determine if any of these loads causes tendon tension to exceed the value advised by the njury specialist. From this analysis, you will prepare a report for submission to the employer.

**Theoretical System Parameters for Biostatics Analysis**

Fig. 1 shows a pictorial diagram of the extended forearm holding a load in the supinated hand. Assume that the axis of rotation of the elbow is fixed at point *O *and that the distance between *O *and the attachment point of the distal biceps tendon is *a *= 5.7 cm. The mass of the entire forearm including hand is *m**b *= 1.66 kg and its center of gravity is located *b *= 21.0 cm from *O*. Define the load in the hand as *m**c*; its center of gravity is located *c *= 40.6 cm from *O*. Define *F**m *as the biceps tendon tension. Assume that the line of action of *F**m *is parallel to the long axis of the upper arm throughout the specified range of motion. Therefore, define θ as the angle *F**m *makes with the forearm; i.e., with respect to horizontal.

Fig. 1: Pictorial diagram of the extended forearm handling a variable mass.

**Report Guidelines and Grading Rubric**

1) Prepare an electronically-generated free-body diagram of the system utilizing the parameters outlined above. You may use shapes in MS Word or the drawing program of your choice. Include all dimensional information and a coordinate system. (20%)

2) Derive an expression for the magnitude *F**m *in terms of θ and *m**c*. Hint: you only need one rotational equilibrium equation to do this. (20%)

3) Compute *F**m *for each of five masses placed in the hand [*m**c *= 2.0, 3.0, 4.0, 5.0, and 6.0 kg] at each of five angles of distal biceps tendon tension [θ = 30, 40, 50, 60, and 70°]. Prepare a table with these 25 values of distal biceps tendon tension, with θ placed along the *x*-axis (columns) and *m**c *placed along the *y*-axis (rows). Label and caption this table. Highlight values that exceed the limit advised by the injury specialist in a suitable color. (20%)

4) Generate a graph with five smoothed-line scatter plots (including data points) showing *F**m *(*y*) vs. θ (*x*) for each of the five masses using Excel or MatLab. Draw a heavy line on the graph in a suitable color indicating the tension limit advised by the specialist. Likewise, generate a similar graph showing *F**m *(*y*) vs. *m**c *(*x*) for each of the five angles and a line indicating the advised tension limit. Label and caption both graphs. (20%)

5) Prepare a formal report with the following sections: (20%)

• Cover Page

o name of the university and department

o title of the report

o submitted by: (your name)

o submitted to:

o date of submission

• Introduction and Purpose

o You may paraphrase the description of the problem in this assignment, but don’t simply

copy and paste it.

• Data and Results

o Include all diagrams, derivations, equations, tables, and charts.

• Discussion

o Discuss the figures in the table and charts and address the following questions:

What happens to the theoretical magnitude of distal biceps tendon tension as the

arm becomes fully extended; i.e., θ approaches zero degrees?

What does this suggest about the limitations of our analysis?

• Conclusions and Recommendations

o Should the injured employee undergo on-the-job rehabilitation?

o Specify design parameters for a rehabilitation algorithm based on your computations.

You may consult with a classmate regarding help with graphs or double-checking derivations, but all reports

and corresponding work are individual for this assignment.

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