A uniform structural tubing column AB with a height of 4 m has a cross section as shown in Figure Q4(b). Given E = 200 GPa, A = 2285 mm2, r = 37.5 mm, and I = 3.33 x 10-6 m4: - 1. Calculate the allowable centric load for the column and the corresponding normal stress using Euler’s Formula by considering the factor of safety of 2.0. 2. Assuming that the allowable load, as in Figure Q4(b)(i), is applied at a point 18.75 mm from the geometric axis of the column as per shown in Figure Q4(b)(ii). Figure Q4(b)(iii) shows the cross section of the column. Identify the horizontal deflection at the top of the column and the maximum normal stress in the column.
A uniform structural tubing column AB with a height of 4 m has a cross section as shown in Figure Q4(b). Given E = 200 GPa, A = 2285 mm2, r = 37.5 mm, and I = 3.33 x 10-6 m4: - 1. Calculate the allowable centric load for the column and the corresponding normal stress using Euler’s Formula by considering the factor of safety of 2.0. 2. Assuming that the allowable load, as in Figure Q4(b)(i), is applied at a point 18.75 mm from the geometric axis of the column as per shown in Figure Q4(b)(ii). Figure Q4(b)(iii) shows the cross section of the column. Identify the horizontal deflection at the top of the column and the maximum normal stress in the column.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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A uniform structural tubing column AB with a height of 4 m has a cross section as shown in Figure Q4(b). Given E = 200 GPa, A = 2285 mm2, r = 37.5 mm, and I = 3.33 x 10-6 m4: -
1. Calculate the allowable centric load for the column and the corresponding normal stress using Euler’s Formula by considering the factor of safety of 2.0.
2. Assuming that the allowable load, as in Figure Q4(b)(i), is applied at a point 18.75 mm from the geometric axis of the column as per shown in Figure Q4(b)(ii). Figure Q4(b)(iii) shows the cross section of the column. Identify the horizontal deflection at the top of the column and the maximum normal stress in the column.
Transcribed Image Text:100 mm
C
100 mm
(iii)
Figure Q4(b)
Transcribed Image Text:A
е 3D 18.75 mm
A
4 m
B
B
(i)
(ii)
Figure Q4(b)
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