### Beam Load AnalysisA simply supported beam of length 30 inches and a diameter of 2 inches is supported at points A and D. It is subjected to a load, \( P \), at points B and C as depicted (within two planes). The task is to calculate the largest value of \( P \) such that the bending stress along the x-direction at any point in the beam does not exceed 38 ksi (kips per square inch).#### Diagram ExplanationThe diagram portrays a horizontal beam supported at two ends: point A (on the left) and point D (on the right). The beam has two downward forces labeled \( P \) applied at points B and C, each located at intervals of 10 inches along the beam. The coordinates are given as follows:- \( A \) is at the origin on the x-axis.- \( B \) is 10 inches from \( A \).- \( C \) is 10 inches from \( B \) and 20 inches from \( A \).- \( D \) is 10 inches from \( C \) and 30 inches from \( A \).### CalculationUsing the beam's properties and the conditions provided, determine the value of \( P \) that ensures the bending stress does not exceed the given limit of 38 ksi. Round down the result to the nearest 1/10th of a kip.\[ P = \text{[Answer here]} \, \text{kip} \]### Important Notes- **Simply Supported Beam:** This type of beam is supported at both ends, allowing for easy calculation of reactions and bending moments under applied loads.- **Units and Measurements:** Make sure to work within consistent units – inches for length, kips for force, and ksi for stress.- **Safety Margin:** Ensure that calculated stresses remain within the specified limit for safe design and functionality.

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A simply supported beam of length 30-in diamater 2-in is supported at A and D, subject to load P at B and C as shown (in two planes). Calculate the largest value of P if the bending stress along the x-direction at any point in the beam is not to exceed 38 ksi. P Р. 10 in 10 in C 10 in B

A simply supported beam of length 30-in diamater 2-in is supported at A and D, subject to load P at B and C as shown (in two planes). Calculate the largest value of P if the bending stress along the x-direction at any point in the beam is not to exceed 38 ksi. P Р. 10 in 10 in C 10 in B

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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