A simple rigid structure ABC is to be built to hold load at Cas showa in Figure Q Suppoit AE is to bold point A by pin at beth ends. Support BD is to support point wth pin joint at both end. Support AE is made made of steel with E= 200GPA, o, = 250 MPa with solid circul cross section of 30 mm diameter. SuPport BD is made of ahuminum alloy with E 180GPa o, = 150 MPa with rectangular tube cross section as shomn in figure. If LAz=2.0 m and LD-25 m Find the maximum load P that can be applied at C for them not to fail by buckling (use Euler criteria)

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 11.4.15P: A rigid L-shaped frame is supported by a steel pipe column AB (sec figure) and is subjected to a...
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A simple rigid structure ABC is to be built to hold load at C as shown in Figure QS.
Support AE is to hold point A by pin at both ends. Support BD is to support point B
with pin joint at both end.
Support AE is made made of steel with E= 200GPA, ay = 250 MPa with solid circular
cross section of 30 mm diameter. Support BD is made of akaminum alloy with E-
180GPA, oy = 150 MPa with rectangular tube cross section as shown in figure.
If LAz= 2.0 m and LED= 2.5 m
Find the maximum load P that can be applied at C for them not to fail by buckling.
(use Euler criteria)
E
L AE
0.7m
B
0.6m
A
30mm
L D
10m
D
30
Crossection of
Support BD
50mm
Figure 05
Crossection of Hollow Rod BD.
(30mm x 50mm and 10mm x 30mm)
Transcribed Image Text:A simple rigid structure ABC is to be built to hold load at C as shown in Figure QS. Support AE is to hold point A by pin at both ends. Support BD is to support point B with pin joint at both end. Support AE is made made of steel with E= 200GPA, ay = 250 MPa with solid circular cross section of 30 mm diameter. Support BD is made of akaminum alloy with E- 180GPA, oy = 150 MPa with rectangular tube cross section as shown in figure. If LAz= 2.0 m and LED= 2.5 m Find the maximum load P that can be applied at C for them not to fail by buckling. (use Euler criteria) E L AE 0.7m B 0.6m A 30mm L D 10m D 30 Crossection of Support BD 50mm Figure 05 Crossection of Hollow Rod BD. (30mm x 50mm and 10mm x 30mm)
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