12.8. A portal frame made from members of equal plastic moment of resistance Pl/2 is loaded as shown in Figure 12.23. Find the critical collapse mechanism and the corresponding value of A. Verify that this mechanism satisfies the yield condition by drawing the bending moment diagram.

12.8. A portal frame made from members of equal plastic moment of resistance Pl/2 is loaded as shown in Figure 12.23. Find the critical collapse mechanism and the corresponding value of A. Verify that this mechanism satisfies the yield condition by drawing the bending moment diagram.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Solid Mechanics

Engineering mechanics is a branch of science that deals with forces causing bulk motion in bodies and the effect that these forces cause on the bodies. Engineering mechanics does not deal with the internal changes that occur on account of these external forces. The internal effects in a body or a material under the action of external forces are studied in a new branch of science called solid mechanics, the strength of materials, or the mechanical behavior of engineering materials.

Question

12.8. A portal frame made from members of equal plastic moment of resistance Pl/2
is loaded as shown in Figure 12.23. Find the critical collapse mechanism and the
corresponding value of A. Verify that this mechanism satisfies the yield condition by
drawing the bending moment diagram.
2P
B
A
21/3
с
22P
1/3
E
TTTTTT
1/2

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Step 1: Plastic Analysis

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Step 2: Beam mechanisms

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Step 3: Sway mechanism

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Step 4: Combined mechanism

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Step 5: Critical mechanisms

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Step 6: Satisfying yield condition

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Step 7: Moment at C , free span

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