Column ABC has a uniform rectangular cross section with b

Chapter 10, Problem 10.24

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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 .

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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

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