2. A single horizontal force P of 200 lb is applied to end D of lever ABD. Determine the internal loadings at section H. 10 in. 4 in. B 16 in. 1.2 in.

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

2. A single horizontal force \( P \) of 200 lb is applied to end \( D \) of lever \( ABD \). Determine the internal loadings at section \( H \).

**Diagram Explanation:**

The diagram depicts a 3D lever system with a force applied. The lever is situated in a three-dimensional coordinate system with axes labeled \( x \), \( y \), and \( z \).

- **Lever Geometry:**
  - The lever consists of two sections connected at a right angle:
    - Vertical section \( AB \) extends 10 inches along the \( y \)-axis and is mounted on a base at point \( A \).
    - Horizontal section \( BD \) extends 16 inches along the \( x \)-axis from point \( B \).

- **Dimensions:**
  - The vertical section (\( AB \)) is 10 inches tall.
  - The horizontal section (\( BD \)) is 16 inches long.
  - Distance from \( A \) to \( H \) is 4 inches vertically along the \( y \)-axis.
  - Point \( D \) is at the end of section \( BD \), 12 inches away from section \( H \).

- **Force Applied:**
  - A horizontal force \( P \) of 200 lb is applied at point \( D \).
  - The force \( P \) is depicted as a red arrow directed parallel to the \( x \)-axis.

**Objective:**

Calculate the internal forces and moments at section \( H \), which is located 4 inches vertically from \( A \) along the \( z \)-axis. This involves analyzing the effects of the 200 lb force on different sections of the lever.
Transcribed Image Text:**Problem Statement:** 2. A single horizontal force \( P \) of 200 lb is applied to end \( D \) of lever \( ABD \). Determine the internal loadings at section \( H \). **Diagram Explanation:** The diagram depicts a 3D lever system with a force applied. The lever is situated in a three-dimensional coordinate system with axes labeled \( x \), \( y \), and \( z \). - **Lever Geometry:** - The lever consists of two sections connected at a right angle: - Vertical section \( AB \) extends 10 inches along the \( y \)-axis and is mounted on a base at point \( A \). - Horizontal section \( BD \) extends 16 inches along the \( x \)-axis from point \( B \). - **Dimensions:** - The vertical section (\( AB \)) is 10 inches tall. - The horizontal section (\( BD \)) is 16 inches long. - Distance from \( A \) to \( H \) is 4 inches vertically along the \( y \)-axis. - Point \( D \) is at the end of section \( BD \), 12 inches away from section \( H \). - **Force Applied:** - A horizontal force \( P \) of 200 lb is applied at point \( D \). - The force \( P \) is depicted as a red arrow directed parallel to the \( x \)-axis. **Objective:** Calculate the internal forces and moments at section \( H \), which is located 4 inches vertically from \( A \) along the \( z \)-axis. This involves analyzing the effects of the 200 lb force on different sections of the lever.
Expert Solution
Step 1: given_data

Given Data

Horizontal force at end D of the lever, P=200 lb

The diameter of portion AB of the lever, D=1.2 in


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