ENG1001 Lecture Notes - Lecture 4: Forb
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Makes&members&under&axial&compression&weaker&than&those&under&axial&tension
(Pe=&buckle&capacity)
Young's&modulus&>>&material&stiffness;&
)*+,-,.'/*-0*&'.1/&23*444*5.#/&-'*5/&00'.55*[mm4]
6*7&819:;:
=&a&geometrical&property,&describing&bending/buckling&stiffness&of&a&cross-section
Two&possible&buckling&axes are&x-and&y-,&90°rees&apart
Divide&the®ion&of&beam&in&compression&frm region&in&tension
Section&will&always&buckle&about&its&weaker/less&stiff&axis
<.+.00.#/&=.*%.'(/>*-0*,.,?.13
=&the&distance&between&the&zero-moment&points&of&a&member&(i.e.&points&of&
contraflexure/inflection)
6*$8<
k&is&effective&length&factor;&L&is&member&length
**must&consider&buckling as&well&as&yielding&as&two&possible&failure&modes
Buckling&>>>&long&membs,&yielding&>>>& short&membs.
@.5&('*#1&/.1&2*0-1*#-,71.55&-'*%-2A&'(
For&no&unwanted&permanent&deformation&to&occur,&
applied&>&yield.
Facting >=&σy&*&cross-sectional&area&(A)
To&check&for&buckling failure,&check&that:
Pe>&member&load
)*+5.#-'A*,-,.'/*-0*21.23*0-1*5B,,./1%*5.#/&-'5
C-,71.55&-'*02&%"1.*.'=.%-7.
Week$4:$Buckling$(C)
Saturday,&12&August&2017
16:24