Buckling of a Thin Column.MP4

Comparison of two thin columns with identical cross-sectional area but different cross-sectional shapes. Euler buckling equation shows how different area moments of inertia affect predicted buckling loads

Note: during the calculations, I wrote height of stick 1 as being 4m when it is really4mm. It is correct in the next line and the result is correct.

Category:

Education

Tags:

• buckling
• strength of materials

[ARIJ88]

thanks prof .....really clear the concepts

[purdueMET]

@ARIJ88 I'm glad the video helps. I'm doing more videos every week.

[1932chevrolet]

building a kyak rack,analyzing building materials for columns. A section of the rack consists of a upright trapezoidal construction something like

.____

/ \ of 3/32" thick 1.5"x2" square tubing. I calculated inertia =(.2949)in^4 and a Pcrit= 146kip using E=29000ksi and L=24" K=1 146kip =146000lb = 73 tons of force to buckle

material yields b4 this at 36Ksi which is a load of 36ksi*(crossArea)=36ksi*.621=2­2kip on each column

11 tons max 4 a vertical col.

??

[purdueMET]

@1932chevrolet Wow. This thing must be the battleship of the kayak world. I'm away from the office and don't have time to check your calculations. First thing to check is whether you have a thin column or not.

[SMechguy]

I mean to say it will buckle in the other diretion...

[purdueMET]

Assuming the boundary conditions are identical, a column will buckle in the direction of the smallest value of I. The column that looks like a ruler will buckle in the direction of the smallest dimension.

[12Japan21]

thanks

this was very helpful :)

[fmwaaris]

can u please explain me wts the major and wts the minor axis. I cant picture it! wen we say rotation about x-axis, how does the beam rotate? do the flanges bend downwards, or sideways? pls help me out here!

[6devas6tation6]

very helpful !! thanks !

[1Mperios]

@attemptthis cross-sectional area = cross-sectional shape

[attemptthis]

@MrZah89 make sure you put your GPa in as MPa to get the units correct

[attemptthis]

the difference is due to the cross sectional area... cross sectional shape :|

[Jekvan]

Its safe to say here that a common notion is,the lecturers and assistants around the world have a way of making stuff utterly complicated to understand.

Thank you thank you thank you for considering the little students which only try to understand the material.Thank you much.

[indianeatingrice]

It would be funny if the stick broke and stabbed him in the face

[kristogf]

Thank you very much!