Which of the following shear force diagrams corresponds to the moment diagram shown below?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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**Question:**

Which of the following shear force diagrams corresponds to the moment diagram shown below?

**Diagrams:**

1. **Moment Diagram** (Top):
   - This diagram features a parabolic shape, with a curved top and straight lines extending from both sides to the base.

2. **Shear Force Diagrams:**

   - **Option a:**
     - This diagram consists of horizontal lines forming a stepped pattern, with two levels at different heights.

   - **Option b:**
     - Composed of diagonal and horizontal lines, this diagram shows a zigzag pattern crossing over the axis.

   - **Option c:**
     - This diagram features a sloped line intersecting the axis, creating an "X" shape.

   - **Option d:**
     - This diagram has a trapezoidal shape with two flat sides extending horizontally.

**Analysis:**

- The moment diagram is identified by its parabolic shape, indicating that it is typically associated with varying loads, possibly a uniformly distributed load (UDL).
- The corresponding shear force diagram is expected to have straight lines, such as those in **Option d**, aligning with the characteristics expected from a parabolic moment diagram.
Transcribed Image Text:**Question:** Which of the following shear force diagrams corresponds to the moment diagram shown below? **Diagrams:** 1. **Moment Diagram** (Top): - This diagram features a parabolic shape, with a curved top and straight lines extending from both sides to the base. 2. **Shear Force Diagrams:** - **Option a:** - This diagram consists of horizontal lines forming a stepped pattern, with two levels at different heights. - **Option b:** - Composed of diagonal and horizontal lines, this diagram shows a zigzag pattern crossing over the axis. - **Option c:** - This diagram features a sloped line intersecting the axis, creating an "X" shape. - **Option d:** - This diagram has a trapezoidal shape with two flat sides extending horizontally. **Analysis:** - The moment diagram is identified by its parabolic shape, indicating that it is typically associated with varying loads, possibly a uniformly distributed load (UDL). - The corresponding shear force diagram is expected to have straight lines, such as those in **Option d**, aligning with the characteristics expected from a parabolic moment diagram.
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