Problem #5 (25 points): For the figure shown, the beam ABC is held up by the column CD and the pin at A. The column is pinned - pinned and contains a solid, circular cross section with an outer diameter of 50 mm. Assume E = 200 GPa and Sy = 360 MPa for the column material. W B 2 m 2 m 4 m (a) Find the largest load w that can be supported on the beam and the length L of the column if the column is to buckle and crush at the same load. (b) If the bottom support was changed to a fixed support, what load (w) could be supported and what length (L) would be required to both crush and buckle? D

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter2: Axially Loaded Members
Section: Chapter Questions
Problem 2.2.19P: Two pipe columns (AB, FC) are pin-connected to a rigid beam (BCD), as shown in the figure. Each pipe...
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Problem #5 (25 points): For the figure shown, the beam ABC is held up by the column CD and
the pin at A. The column is pinned - pinned and contains a solid, circular cross section with an
outer diameter of 50 mm. Assume E = 200 GPa and Sy = 360 MPa for the column material.
W
B
2 m
2 m
4 m
(a) Find the largest load w that can be supported on
the beam and the length L of the column if the
column is to buckle and crush at the same load.
(b) If the bottom support was changed to a fixed
support, what load (w) could be supported and
what length (L) would be required to both crush
and buckle?
D
Transcribed Image Text:Problem #5 (25 points): For the figure shown, the beam ABC is held up by the column CD and the pin at A. The column is pinned - pinned and contains a solid, circular cross section with an outer diameter of 50 mm. Assume E = 200 GPa and Sy = 360 MPa for the column material. W B 2 m 2 m 4 m (a) Find the largest load w that can be supported on the beam and the length L of the column if the column is to buckle and crush at the same load. (b) If the bottom support was changed to a fixed support, what load (w) could be supported and what length (L) would be required to both crush and buckle? D
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