Find expressions for shear force \( V \) and moment \( M \) at \( x = L/2 \) of beam \( AB \) in structure (a). Express \( V \) and \( M \) in terms of peak load intensity \( q_0 \) and beam length variable \( L \). Repeat for structure (b) but find \( V \) and \( M \) at the mid-span of member \( BC \).**Diagram Explanation:**- **Structure (a):** - A beam \( AB \) is supported at point \( A \) and continues to point \( B \). - Point \( C \) is located at a distance \( 4L/5 \) from \( B \). - There is a triangular distributed load with peak intensity \( q_0 \) acting on \( AB \). - The load spans the entire length \( L \) of \( AB \). - A right triangle labeled with leg ratios \( 3 \) and \( 4 \) indicates the slope of member \( BC \). - The action and moment are taken at mid-span \( L/2 \) of \( AB \).- **Structure (b):** - Similar to Structure (a) but the triangular load is inverted. - The action and moment are taken at the mid-span of member \( BC \). - The slope of \( BC \) is identical with the same leg ratios \( 3 \) and \( 4 \).This diagram is used to analyze shear and moment at specified points within different loading scenarios and geometry.

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Find expressions for shear force V and moment M at x = L/2 of beam AB in structure (a). Express V and M in terms of peak load intensity go and beam length variable L. Repeat for structure (b) but find V and M at the mid-span of member BC. A A L/2 V, M at L/2 on AB L/2 1/2 B Structure (a) L/2 B 90 Structure (b) 90 V, Mat mid-span of BC 4L/5 4L/5

Find expressions for shear force V and moment M at x = L/2 of beam AB in structure (a). Express V and M in terms of peak load intensity go and beam length variable L. Repeat for structure (b) but find V and M at the mid-span of member BC. A A L/2 V, M at L/2 on AB L/2 1/2 B Structure (a) L/2 B 90 Structure (b) 90 V, Mat mid-span of BC 4L/5 4L/5

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

Find expressions for shear force \( V \) and moment \( M \) at \( x = L/2 \) of beam \( AB \) in structure (a). Express \( V \) and \( M \) in terms of peak load intensity \( q_0 \) and beam length variable \( L \). Repeat for structure (b) but find \( V \) and \( M \) at the mid-span of member \( BC \).

**Diagram Explanation:**

- **Structure (a):**
- A beam \( AB \) is supported at point \( A \) and continues to point \( B \).
- Point \( C \) is located at a distance \( 4L/5 \) from \( B \).
- There is a triangular distributed load with peak intensity \( q_0 \) acting on \( AB \).
- The load spans the entire length \( L \) of \( AB \).
- A right triangle labeled with leg ratios \( 3 \) and \( 4 \) indicates the slope of member \( BC \).
- The action and moment are taken at mid-span \( L/2 \) of \( AB \).

- **Structure (b):**
- Similar to Structure (a) but the triangular load is inverted.
- The action and moment are taken at the mid-span of member \( BC \).
- The slope of \( BC \) is identical with the same leg ratios \( 3 \) and \( 4 \).

This diagram is used to analyze shear and moment at specified points within different loading scenarios and geometry.

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