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The flexible beam is supported as shown in Figure 2 and is loaded with an axial force P. Assume small deformations. Use the analytical approach to determine the critical load.

The flexible beam is supported as shown in Figure 2 and is loaded with an axial force P. Assume small deformations. Use the analytical approach to determine the critical load.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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The flexible beam is supported as shown in Figure 2 and is loaded with an axial force P. Assume
small deformations.
Use the analytical approach to determine the critical load.

**Figure 2: Structural Beam Diagram** This diagram illustrates a horizontal beam subjected to two equal and opposite forces \( P \) at its ends, indicating it is under a compressive load. The beam's flexural rigidity is denoted as \( EI \). The beam rests on three supports labeled \( A \), \( B \), and \( C \). - **Supports:** - **A** and **C** are simple supports allowing rotational movement but preventing vertical displacement. - **B** is a pin support allowing rotation but restraining both vertical and horizontal movement. - **Distances:** - The distance between support \( A \) and support \( B \) is \( 2L \). - The distance between support \( B \) and support \( C \) is \( 3L \). This setup creates a statically indeterminate structure useful for analyzing bending moment distributions and shear forces within the beam under the given loading conditions.
Transcribed Image Text:**Figure 2: Structural Beam Diagram** This diagram illustrates a horizontal beam subjected to two equal and opposite forces \( P \) at its ends, indicating it is under a compressive load. The beam's flexural rigidity is denoted as \( EI \). The beam rests on three supports labeled \( A \), \( B \), and \( C \). - **Supports:** - **A** and **C** are simple supports allowing rotational movement but preventing vertical displacement. - **B** is a pin support allowing rotation but restraining both vertical and horizontal movement. - **Distances:** - The distance between support \( A \) and support \( B \) is \( 2L \). - The distance between support \( B \) and support \( C \) is \( 3L \). This setup creates a statically indeterminate structure useful for analyzing bending moment distributions and shear forces within the beam under the given loading conditions.
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