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P16.19 WP The aluminum column shown in Figure P16.19 has a rectangular cross section and supports an axial load P. The base of the column is fixed. The support at the top allows rotation of the column in the x-y plane (i.e., bending about the strong axis) but prevents rotation in the x-z plane (i.e., bending about the weak axis). L FIGURE P16.19 (a) Determine the critical buckling load of the column for the following parameters: L = 50 in., b = 0.50 in., h = 0.875 in., and E = 10,000 ksi. (b) Determine the ratio b/h for which the critical buckling load about the strong axis is the same as that about the weak axis. Answer P16.19 (a) Per = 1,439 lb (b) b/h= = 0.714

P16.19 WP The aluminum column shown in Figure P16.19 has a rectangular cross section and supports an axial load P. The base of the column is fixed. The support at the top allows rotation of the column in the x-y plane (i.e., bending about the strong axis) but prevents rotation in the x-z plane (i.e., bending about the weak axis). L FIGURE P16.19 (a) Determine the critical buckling load of the column for the following parameters: L = 50 in., b = 0.50 in., h = 0.875 in., and E = 10,000 ksi. (b) Determine the ratio b/h for which the critical buckling load about the strong axis is the same as that about the weak axis. Answer P16.19 (a) Per = 1,439 lb (b) b/h= = 0.714

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter16: Moment-distribution Method
Section: Chapter Questions
Problem 7P
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The aluminum column shown in Figure P16.19 has a rectangular cross section and supports an axial load P. The base of the column is fixed. The support at the top allows rotation of the column in the x–y plane (i.e., bending about the strong axis) but prevents rotation in the x–z plane (i.e., bending about the weak axis). (a) Determine the critical buckling load of the column for the following parameters: L = 50 in., b = 0.50 in., h = 0.875 in., and E = 10,000 ksi. (b) Determine the ratio b/h for which the critical buckling load about the strong axis is the same as that about the weak axis.
P16.19 WP The aluminum column shown in Figure P16.19 has a rectangular cross section and supports an axial load P. The base of the column is fixed. The support at the top allows rotation of the column in the x-y plane (i.e., bending about the strong axis) but prevents rotation in the x-z plane (i.e., bending about the weak axis). L FIGURE P16.19 (a) Determine the critical buckling load of the column for the following parameters: L = 50 in., b = 0.50 in., h = 0.875 in., and E = 10,000 ksi. (b) Determine the ratio b/h for which the critical buckling load about the strong axis is the same as that about the weak axis. Answer P16.19 (a) Per = 1,439 lb (b) b/h= = 0.714
Transcribed Image Text:P16.19 WP The aluminum column shown in Figure P16.19 has a rectangular cross section and supports an axial load P. The base of the column is fixed. The support at the top allows rotation of the column in the x-y plane (i.e., bending about the strong axis) but prevents rotation in the x-z plane (i.e., bending about the weak axis). L FIGURE P16.19 (a) Determine the critical buckling load of the column for the following parameters: L = 50 in., b = 0.50 in., h = 0.875 in., and E = 10,000 ksi. (b) Determine the ratio b/h for which the critical buckling load about the strong axis is the same as that about the weak axis. Answer P16.19 (a) Per = 1,439 lb (b) b/h= = 0.714
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