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We are given the structure in Fig. 2. We are also given that the beam is made of a material with E = 10000 ksi. Find what is the required value of the moment of inertia, I, of the beam section, so that the maximum value of deflection does not exceed %3D L/360, where L is the total length of the beam.

We are given the structure in Fig. 2. We are also given that the beam is made of a material with E = 10000 ksi. Find what is the required value of the moment of inertia, I, of the beam section, so that the maximum value of deflection does not exceed %3D L/360, where L is the total length of the beam.

Structural Analysis
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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The given problem is related to the structure shown in Figure 2. The beam is composed of a material with an elastic modulus, \( E \), of 10,000 ksi. The task is to determine the required moment of inertia, \( I \), of the beam section. This is to ensure that the maximum deflection value does not exceed \( L/360 \), where \( L \) is the beam's total length. ### Diagram Explanation - **Figure 2** illustrates a beam of 10 feet in length. - There are two crucial points in this structure: Point \( A \) on the left and Point \( B \) on the right. - Two moments are applied at these points: - At Point \( A \), a moment of 20 kip-ft is applied in a counter-clockwise direction. - At Point \( B \), a moment of 20 kip-ft is applied in a clockwise direction. - The beam appears to be supported at both ends, indicated by the supports shown in the diagram. The objective is to ensure the beam does not excessively deflect under the applied moments, adhering to the deflection limit specified (i.e., \( L/360 \)). This involves calculating the necessary moment of inertia, \( I \), for the beam’s cross-section.
Transcribed Image Text:The given problem is related to the structure shown in Figure 2. The beam is composed of a material with an elastic modulus, \( E \), of 10,000 ksi. The task is to determine the required moment of inertia, \( I \), of the beam section. This is to ensure that the maximum deflection value does not exceed \( L/360 \), where \( L \) is the beam's total length. ### Diagram Explanation - **Figure 2** illustrates a beam of 10 feet in length. - There are two crucial points in this structure: Point \( A \) on the left and Point \( B \) on the right. - Two moments are applied at these points: - At Point \( A \), a moment of 20 kip-ft is applied in a counter-clockwise direction. - At Point \( B \), a moment of 20 kip-ft is applied in a clockwise direction. - The beam appears to be supported at both ends, indicated by the supports shown in the diagram. The objective is to ensure the beam does not excessively deflect under the applied moments, adhering to the deflection limit specified (i.e., \( L/360 \)). This involves calculating the necessary moment of inertia, \( I \), for the beam’s cross-section.
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