SLIDE 1
Buckling Lecture 11 ME EN 372 Andrew Ning aning@byu.edu Outline - - PDF document
Buckling Lecture 11 ME EN 372 Andrew Ning aning@byu.edu Outline - - PDF document
Buckling Lecture 11 ME EN 372 Andrew Ning aning@byu.edu Outline Buckling Theory Example https://youtu.be/NhQ3lYtzw9Y Buckling Theory y P L EI d 2 y dx 2 + Py = 0 General Solution: y = A cos( x ) + B sin( x ) P cr = C 2 EI l 2 C
SLIDE 2
SLIDE 3
P L y
EI d2y dx2 + Py = 0
SLIDE 4
General Solution: y = A cos(ωx) + B sin(ωx)
SLIDE 5
Pcr = Cπ2EI l2 boundary condition C fixed-free
1 4
pinned-pinned 1 fixed-pinned ≈ 2 fixed-fixed 4
Pcr A = Cπ2E (l/k)2
where k =
- I/A
SLIDE 6
Euler Euler
SLIDE 7
Euler Johnson
l k
- 1
= 2π2CE Sy 1/2 Pcr A = Sy − Sy 2π l k 2 1 CE for l k ≤ l k
- 1
SLIDE 8