A steel column member shown in the figure below is pin- connected at the two ends. It could fail either by buckle or yield. The cross section area A = 6000 mm², the moment of inertia about y and z axis are Iy = 15.106 mm4 and I = 45 106 mm². The young's modulus of steel is 200 GPa. If length L = 11.7 m, (1) (Not graded part) About which axis the buckle will occur first? (2) What is the critical load in kN for the buckling to occur? X

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter9: Deflections Of Beams
Section: Chapter Questions
Problem 9.5.24P: A thin metal strip of total weight W and length L is placed across the top of a flat table of width...
icon
Related questions
Question
100%
A steel column member shown in the figure below is pin-
connected at the two ends. It could fail either by buckle
or yield. The cross section area A = 6000 mm², the
moment of inertia about y and z axis are I₂ = 15.10⁰
mm and I₂ = 45 106 mm². The young's modulus of
steel is 200 GPa.
If length L = 11.7 m,
(1) (Not graded part) About which axis the buckle will
occur first?
(2) What is the critical load in kN for the buckling to
occur?
y
X
X
∙y
4 m
Transcribed Image Text:A steel column member shown in the figure below is pin- connected at the two ends. It could fail either by buckle or yield. The cross section area A = 6000 mm², the moment of inertia about y and z axis are I₂ = 15.10⁰ mm and I₂ = 45 106 mm². The young's modulus of steel is 200 GPa. If length L = 11.7 m, (1) (Not graded part) About which axis the buckle will occur first? (2) What is the critical load in kN for the buckling to occur? y X X ∙y 4 m
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question

For same problem setup in Q1 except for the length, if the yield strength is 145 MPa,  calculate the critical length under which the column would fail by yield and over which the column would fail by buckling.

Solution
Bartleby Expert
SEE SOLUTION
Knowledge Booster
Buckling of Columns
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning