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Calculate the largest allowable load P that can be applied to the beam shown below if the maximum bending stress (at section a-a) is not to exceed 200 MPa.

Calculate the largest allowable load P that can be applied to the beam shown below if the maximum bending stress (at section a-a) is not to exceed 200 MPa.

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
Problem 1.1MA
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**Problem Statement:** Calculate the largest allowable load \( P \) that can be applied to the beam shown below if the maximum bending stress (at section \( a-a \)) is not to exceed 200 MPa. **Diagram Description:** The diagram shows a beam supported at both ends. It is subjected to two downward forces, each represented as \( P \), applied symmetrically on the beam. - **Beam Dimensions:** - The width of the beam section is 100 mm. - The height of the beam section is 200 mm. - The beam spans a total length of 8 meters, divided into sections of 2 meters each between supports and the points of applied load \( P \). - **Load Placement:** - The loads \( P \) are applied at a distance \( a \) from the nearest support. **Objective:** Determine the maximum value of \( P \) such that the bending stress does not exceed 200 MPa.
Transcribed Image Text:**Problem Statement:** Calculate the largest allowable load \( P \) that can be applied to the beam shown below if the maximum bending stress (at section \( a-a \)) is not to exceed 200 MPa. **Diagram Description:** The diagram shows a beam supported at both ends. It is subjected to two downward forces, each represented as \( P \), applied symmetrically on the beam. - **Beam Dimensions:** - The width of the beam section is 100 mm. - The height of the beam section is 200 mm. - The beam spans a total length of 8 meters, divided into sections of 2 meters each between supports and the points of applied load \( P \). - **Load Placement:** - The loads \( P \) are applied at a distance \( a \) from the nearest support. **Objective:** Determine the maximum value of \( P \) such that the bending stress does not exceed 200 MPa.
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