Answered: Q2. In the extruded profile shown in…

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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$**Question 2:** In the extruded profile shown in the figure, the maximum allowable stress in tension is 120 MPa, and the maximum allowable stress in compression is 150 MPa. Find the maximum bending moment that can be applied to this profile. **Figure Explanation:** The diagram shows a trapezoidal profile with the following dimensions: - Top width: 80 mm - Bottom width: 40 mm - Height: 54 mm - Top edges extend 20 mm beyond the parallel sides - Central axis (yc) marked for calculation purposes **Accompanying Diagrams and Formulas:** 1. **Rectangular Area:** - $ A = bh $ - Centroid (C) located at the center - Moment of Inertia: - $ I_x = \frac{1}{12} bh^3 $ - $ I_y = \frac{1}{12} hb^3 $ 2. **Triangular Area:** - $ A = \frac{1}{2} bh $ - Centroid (C) located at a distance of $ \frac{1}{3} h $ from the base - Moment of Inertia: - $ I_x = \frac{1}{36} bh^3 $ This setup will generally be used to analyze the profile's moment of inertia and strength in relation to bending moments.$

Transcribed Image Text:**Question 2:** In the extruded profile shown in the figure, the maximum allowable stress in tension is 120 MPa, and the maximum allowable stress in compression is 150 MPa. Find the maximum bending moment that can be applied to this profile. **Figure Explanation:** The diagram shows a trapezoidal profile with the following dimensions: - Top width: 80 mm - Bottom width: 40 mm - Height: 54 mm - Top edges extend 20 mm beyond the parallel sides - Central axis (yc) marked for calculation purposes **Accompanying Diagrams and Formulas:** 1. **Rectangular Area:** - $ A = bh $ - Centroid (C) located at the center - Moment of Inertia: - $ I_x = \frac{1}{12} bh^3 $ - $ I_y = \frac{1}{12} hb^3 $ 2. **Triangular Area:** - $ A = \frac{1}{2} bh $ - Centroid (C) located at a distance of $ \frac{1}{3} h $ from the base - Moment of Inertia: - $ I_x = \frac{1}{36} bh^3 $ This setup will generally be used to analyze the profile's moment of inertia and strength in relation to bending moments.

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