Mechanical Engineering, Indian Institute of Science, Bangalore 560 012, India
Optimization hinders evolution!
ME256 Variational methods and structural optimization Aug.-Dec. 2005
Instructor: G. K. Ananthasuresh, Room 106, ME Building, suresh at mecheng.iisc.ernet.in
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Homework #7
Assigned: Sep. 22nd, 2005
Due: Sep. 29th, 2005
Points: 20

  1. 10 points
    For a given load p(x), determine the cross-section area of an axially loaded bar such that its volume is minimized and the stress anywhere is less than the tensile strength St and more than the compressive strength Sc. The bar is of length L and is made of a material with Young's modulus E. Write down the problem statement, necessary conditions, and discuss the nature of the solution.
  2. 10 points
    For L = 1, E = 150E9, St = 2E6, Sc = 8E6, and p(x) = sin(2*x*pi/L), give the complete solution of the problem 1.