Mechanical Engineering, Indian Institute of Science, Bangalore 560 012, India
Optimization hinders evolution!
BE 205 Introduction to Biomechanics of Solids Jan.-May., 2016
Instructors: G. K. Ananthasuresh, Room 106, ME Building, suresh at mecheng.iisc.ernet.in
Teaching assistant: Varsha Vasudevan, varsha at cns.iisc.ernet.in
Lectures: Tu, Th: 02:o0 pm - 03:30 pm;
Venue: MRDG classroom, Ground floor, Biological Sciences Building

Homework #4
Assigned: Feb. 13th, 2016
Due: Feb. 20th, 2016
Points: 40
Additional points for work that is beyond instructor's expectation!

  1. 10 points
    A vasular surgeon sutured a thin cylindrical arterial graft with axial force f such that there is no shear stress (sigma_r_theta) on any patch oriented at any angle on the lateral surface of the graft. Find f if the radius is R, the thickness t, and internal pressure p. How does the Mohr's circle look like for this case?
    2. 20 points
  2. Consider an esophagus of internal diameter 16 mm and thickness 2 mm, and length 200 mm. It is tested in a lab with open and closed ends by applying an internal pressure of 50 mm-Hg. By assuming E = 20 kPa and nu = 0.45, plot all non-zero stresses and strains across the inner and outer radii for the closed and open ended cases.
  3. 10 points
    Derive the governing differential equation for a thick spherical pressure vessel. Show the three steps, namely, kinematics, constututive relationship, and force-balance, clearly.
  4. 10 points
    Problem 3.13 in Humphrey-Delange book (p. 149)