E₁ = 200GP₁₁ A₁ = 200 mm ² A 1.45 [m] 2 A = 400 mm ² C T point A and point D lies 2.625 m from wall at B. Find the reactionary force at B in x-direction. (UNIT KN) . A₁ 19.0 [kN] 4₂ E Point C les 0.725 m. 5.250 [m] De from pin at 65.0 [kN] B

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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### Text Transcription

**Given:**

- \( E_s = 200 \, \text{GPa} \)
- \( A_1 = 200 \, \text{mm}^2 \)
- \( A_2 = 400 \, \text{mm}^2 \)

- Point C lies 0.725 m from pin at point A and point D lies 2.625 m from wall at B.

**Problem:**

Find the reactionary force at B in the x-direction. (Units in kN)

### Diagram Explanation

The diagram is a horizontal bar supported at both ends with forces applied at two points along its length.

1. **Structure:**
   - The bar has points labeled from left to right as A, C, D, B.
   - A pin supports the bar at point A, and a wall fixes the bar at point B.

2. **Measurements:**
   - The distance from point A to C is 1.45 meters.
   - The distance from point C to point D is implicit from the total length.
   - The total distance from point A to B is 5.250 meters.

3. **Forces:**
   - A force of 19.0 kN acts to the right at point C.
   - A force of 65.0 kN acts to the right at point D.

4. **Cross-sectional Areas:**
   - \( A_1 = 200 \, \text{mm}^2 \) near A
   - \( A_2 = 400 \, \text{mm}^2 \) near B

### Task

Determine the horizontal reactionary force at point B due to the applied loads on the bar. The result is expressed in kilonewtons (kN).
Transcribed Image Text:### Text Transcription **Given:** - \( E_s = 200 \, \text{GPa} \) - \( A_1 = 200 \, \text{mm}^2 \) - \( A_2 = 400 \, \text{mm}^2 \) - Point C lies 0.725 m from pin at point A and point D lies 2.625 m from wall at B. **Problem:** Find the reactionary force at B in the x-direction. (Units in kN) ### Diagram Explanation The diagram is a horizontal bar supported at both ends with forces applied at two points along its length. 1. **Structure:** - The bar has points labeled from left to right as A, C, D, B. - A pin supports the bar at point A, and a wall fixes the bar at point B. 2. **Measurements:** - The distance from point A to C is 1.45 meters. - The distance from point C to point D is implicit from the total length. - The total distance from point A to B is 5.250 meters. 3. **Forces:** - A force of 19.0 kN acts to the right at point C. - A force of 65.0 kN acts to the right at point D. 4. **Cross-sectional Areas:** - \( A_1 = 200 \, \text{mm}^2 \) near A - \( A_2 = 400 \, \text{mm}^2 \) near B ### Task Determine the horizontal reactionary force at point B due to the applied loads on the bar. The result is expressed in kilonewtons (kN).
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