Mechanical Engineering, Indian Institute of
Science, Bangalore 560 012, India
Optimization hinders evolution!
ME256
Variational methods and structural optimization
Jan.-May, 2010
Instructor: G. K.
Ananthasuresh, Room 106, ME Building, suresh at
mecheng.iisc.ernet.in
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Homework #10
Assigned: Apr. 8th, 2010
Due: Apr. 15th, 2010
Points: 20
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20 points
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Using the principle of minimum potential energy, derive the equation for column buckling. Note that you
have to use the principle here as a 'stationery potential energy' principle.
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Derive also the Rayleigh quotient for the critical buckling load of a column.