### Determining Principal Stresses in a Wide-Flange Beam**Problem Statement:**The wide-flange beam is subjected to a force \( P = 54 \) kN. Determine the principal stresses in the beam at point \( A \) located on the web at the bottom of the upper flange. Although it is not very accurate, use the shear formula to calculate the shear stress. (Refer to Figure 1)#### Visual Representation:**Figure 1:**![Figure 1](image_url)The diagram illustrates a beam subjected to an external force \( P \) of 54 kN. The beam is fixed horizontally, and the force acts vertically downward at a distance of 3 meters from the fixed end. An inset detail shows the cross-section of the beam with the following dimensions:- Width of the flange: 200 mm- Thickness of the flange: 12 mm- Height of the web: 250 mm- Thickness of the web: 10 mmThe point \( A \) is located on the web at the bottom of the upper flange.#### Steps to Solve:**Part A:**1. **Determine the principal stress \( \sigma_1 \) at point \( A \).** - Express your answer to three significant figures and include the appropriate units. **Input Field for Answer:** ``` σ1 = [ Value ] Units ```**Part B:**1. **Determine the principal stress \( \sigma_2 \) at point \( A \).** - Express your answer to three significant figures and include the appropriate units. **Input Field for Answer:** ``` σ2 = [ Value ] Units ```### Instructions:- Carefully analyze the external force and the given dimensions of the beam to calculate the principal stresses at point \( A \).- Use the appropriate formulas and account for the shear and normal stresses in your calculations.- Enter your answers with correct significant figures and specify the units.**Submit Button:**For each part, review your calculations and use the "Submit" button to verify your answers.### Additional Resources:- Utilize the shear formula and stress analysis principles to ensure accuracy in your calculations.- Refer to structural mechanics textbooks or online resources for additional examples and practice problems on principal stress determination.**Feedback:**If you have any questions or require further assistance, use the "Provide Feedback" section

Drawing the FBD of the given schematic diagram,

The wide-flange beam is subjected to the P = 54 kN force. Determine the principal stresses in the beam at point A located on the web at the bottom of the upper flange. Although it is not very accurate, use the shear formula to calculate the shear stress. (Figure 1)

The wide-flange beam is subjected to the P = 54 kN force. Determine the principal stresses in the beam at point A located on the web at the bottom of the upper flange. Although it is not very accurate, use the shear formula to calculate the shear stress. (Figure 1)

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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