The vertical rectanguler cross section column shown in Fig. Q4 is pinned at both ends. Assuming the young's modulus E for the column material is 200 GPa. 0y = 250 MPa, L=4m, a =30 mm, and b = 50 mm: A) Find the maximum compressive load P that can be applied to the column without failure B) Determine the allowable load. C) Do you think this column will yield before it buckled? (Take FS = 2.5) D) What is the difference in the results of A, B, and C above if the column length is (L = 6 m)? Discuss the difference

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter11: Columns
Section: Chapter Questions
Problem 11.3.10P: Repeat Problem 11.3-9. Use two C 150 × 12.2 steel shapes and assume that E = 205 GPa and L = 6 m.
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The vertical rectanguler cross section column shown in Fig. Q4 is pinned at both ends. Assuming
the young's modulus E for the column material is 200 GPa. 0y = 250 MPa, L=4m, a =30
mm, and b = 50 mm:

A) Find the maximum compressive load P that can be applied to the column without
failure
B) Determine the allowable load.
C) Do you think this column will yield before it buckled? (Take FS = 2.5)

D) What is the difference in the results of A, B, and C above if the column length is (L = 6
m)? Discuss the difference

 

L/2
L/2
N4
y
P
a
b
Fig. Q4: Rectangular Cross Section Column
Transcribed Image Text:L/2 L/2 N4 y P a b Fig. Q4: Rectangular Cross Section Column
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