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bioe119-fall02-final-Keaveny-exam

bioe119-fall02-final-Keaveny-exam - ME C176/BioE C119 Final...

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ME C176/BioE C119 Final Exam, Fall 2002 Name: __________________________________ Page 1 of 9 Saturday, December 14, 12:30–3:30 PM , 2002. Answer all questions for a maximum of 100 points. 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. Dynamic Analysis and Gait [15 points total] The sketch below shows a free-body diagram of an idealization of the shank during gait at an angle q to the vertical. For simplicity, the foot has been ignored, and the ground reaction force R is assumed to act at the ankle. Also shown are the resultant force F res and moment M res acting at the knee joint. Express the resultant moment M res in terms of the ground reaction force R , the mass of the shank m , the moment of inertia of the shank with respect to its center of gravity I cg , and the accelerations of the shank ( a c g and a ). All unknowns have been drawn in their assumed positive directions. Express all vectors in X- Y components.
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ME C176/BioE C119 Final Exam, Fall 2002 Name: __________________________________ Page 2 of 9 2. Beam on Elastic Foundation Theory [20 points total] Derive the following equations for bending of a beam on an elastic foundation. State clearly all the assumptions. i) V x = –p + k J ii) M x = –V iii) x 2 EI 2 J x 2 + k J = p where x is the distance along the length of the beam, V is the shear force acting on the beam, M is the bending moment acting on the beam, p is a uniformly distributed force/length acting on the beam, k is the foundation modulus, EI
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