“Perry Robertson formula”的意思、由来-开放百科全书

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Perry Robertson formula

释义

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The Perry-Robertson formula is a mathematical formula which is able to produce a good approximation of buckling loads in long slender beams, and is the basis for the buckling formulation adopted in EN 1993.

The formula in question can be expressed in the following form:

with

where:

is the average longitudinal stress in the beam's cross section
is the material's elastic limit
is the average tension measured in the cross section which correspond to the beam's Euler load
the amplitude of the initial geometrical imperfection
distance from the cross section's centroid to the section's most stressed fiber
the section's radius of gyration

Robertson then proposed that , where represents the beam's slenderness.

References

#{{cite web |title=Perry Robertson formula (BS 449-2 )|url=http://www.roymech.co.uk/Useful_Tables/Mechanics/Struts.html#Perry|accessdate=2010-11-22}}

{{Cite book |title=The manual of bridge engineering|url=https://books.google.com/books?id=8PGk81gtCywC&pg=PA154&lpg=PA154&dq=perry+robertson+buckling+formula&source=bl&ots=5J_yV5LPa6&sig=7WaScf45LQYSOm-ZMCHmIqDSmt4&hl=en&ei=gbnpTNqeKNGahQfaqLwP&sa=X&oi=book_result&ct=result&resnum=9&ved=0CEkQ6AEwCA|accessdate=2010-11-22}}

1 : Elasticity (physics)

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References