Solution Found!
Column ABC has a uniform rectangular cross section with b
Chapter 10, Problem 10.24(choose chapter or problem)
Column ABC has a uniform rectangular cross section with b = 12 mm and d = 22 mm. The column is braced in the xz plane at its midpoint C and carries a centric load P of magnitude 3.8 kN. Knowing that a factor of safety of 3.2 is required, determine the largest allowable length L. Use E = 200 GPa .
Questions & Answers
QUESTION:
Column ABC has a uniform rectangular cross section with b = 12 mm and d = 22 mm. The column is braced in the xz plane at its midpoint C and carries a centric load P of magnitude 3.8 kN. Knowing that a factor of safety of 3.2 is required, determine the largest allowable length L. Use E = 200 GPa .
ANSWER:
Problem 10.24
Column ABC has a uniform rectangular cross section with b = 12 mm and d = 22 mm. The column is braced in the xz plane at its midpoint C and carries a centric load P of magnitude 3.8 kN. Knowing that a factor of safety of 3.2 is required, determine the largest allowable length L. Use E = 200 GPa
Step by Step Solution
Step 1 of 3
We will find the required length both in and planes based on Euler buckling theory.The smaller value of the length will be used as the critical length.
Two critical load in the section
Moment of inertia in xz plane