b) A steel strut of height 2 m, and cross-section 50 mm x 24 mm, is subject to an axial compressive load. The strut is supported at both ends as shown in Figure 2. The pin allows rotation about the y-y axis only. The steel used in the manufacture of the strut has an elastic modulus of 205 GPa and a yield stress of 240 MPa. LOAD

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 11.6.1P: A steel bar has a square cross section of width b = 2.0 in. (sec figure). The bar has pinned...
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(b)
A steel strut of height 2 m, and cross-section 50 mm x 24 mm, is subject
to an axial compressive load. The strut is supported at both ends as
shown in Figure 2. The pin allows rotation about the y-y axis only.
(i)
(ii)
(iii)
The steel used in the manufacture of the strut has an elastic modulus of
205 GPa and a yield stress of 240 MPa.
2m
LOAD
Kuyu
fr
A
A
X
50 mm
L.
24 mm
ENLARGED SECTION A-A
LOAD
Figure 2: Support conditions and cross-section of steel strut
Describe the strut's end fixing conditions about the x-x and y-y axes.
(2 Marks)
Calculate the strut's buckling load according to Euler Formula.
(8 Marks)
Sketch the relationship of the slenderness ratio and buckling stress for the
strut about the x-x axis. Critically comment on the suitability of the Euler
equation for estimating the maximum compressive load the strut can
support.
Transcribed Image Text:(b) A steel strut of height 2 m, and cross-section 50 mm x 24 mm, is subject to an axial compressive load. The strut is supported at both ends as shown in Figure 2. The pin allows rotation about the y-y axis only. (i) (ii) (iii) The steel used in the manufacture of the strut has an elastic modulus of 205 GPa and a yield stress of 240 MPa. 2m LOAD Kuyu fr A A X 50 mm L. 24 mm ENLARGED SECTION A-A LOAD Figure 2: Support conditions and cross-section of steel strut Describe the strut's end fixing conditions about the x-x and y-y axes. (2 Marks) Calculate the strut's buckling load according to Euler Formula. (8 Marks) Sketch the relationship of the slenderness ratio and buckling stress for the strut about the x-x axis. Critically comment on the suitability of the Euler equation for estimating the maximum compressive load the strut can support.
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