Question: ( 1 ) Please derive the critical buckling load for an initially straight prismatic column A B with length L , Young's modulus E ,

(1)

Please derive the critical buckling load for an initially straight prismatic column

A B

with length L

,

Young's modulus

E,

-

plane moment of inertia I. Both ends are pin

-

supported.

(20)

pts

)

(2)

Suppose we want to add a roller support to the beam. Where should the roller support be placed to maximize the buckling load? Please also determine the maximum buckling load.

(

Bonus:

20

pts

)

( 1 ) Please derive the critical buckling load

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