bioe119-fall95-final-Keaveny-exam

bioe119-fall95-final-Keaveny-exam - ME 176 Final Exam, Fall...

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ME 176 Final Exam, Fall 1995 Name: __________________________________________ Page 1 of 10 Saturday, December 16, 12:30–3:30 PM, 1995. Answer all questions. Please write all answers in the space provided. If you need additional space, write on the back sides. Indicate your answer as clearly as possible for each question. Write your name at the top of each page as indicated. Read each question very carefully! ____________________________________________________________________________________ 1. (20 points total) Forces and Moments at Joints A. [10 points] Draw a fully labeled free-body diagram of the forearm during a curl exercise (with a 20 kg mass in the hand) that could be used to calculate the resultant force and moment acting on the elbow joint. Include all accelerations in your free body diagram and ignore the mass of the hand. B. [10 points] Based on your free-body diagram, write out the moment equation of motion (dynamics equation) about the elbow joint. Assume that the elbow joint is fixed in space. Regarding moment of inertia terms, assume only the value for the forearm about its centroid ( i.e. this is the only moment of inertia term that should appear explicitly in your equation).
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ME 176 Final Exam, Fall 1995 Name: __________________________________________ Page 2 of 10 2. (25 points total) Bone Mechanics and Beam Theory A. [10 points] When a material such as cortical bone is loaded in pure bending until its collapse, the neutral axis of bending shifts as the material yields due to the asymmetry of yield strengths of the bone material. Derive the expression shown here for the distance from the compressive surface of the beam to the neutral axis, y , in terms of the depth of the beam d , and the yield strengths in tension s t and compression c : y = d s t s t + s c Assume elastic-perfectly-plastic (Figure 1) behavior of the beam material. The cross-section of the beam is rectangular, of width w and depth d , and the beam is loaded in pure bending.
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bioe119-fall95-final-Keaveny-exam - ME 176 Final Exam, Fall...

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