The beam is supported by a pin at point A and a frictionless pulley system at D. The cylinder with a weight of \( W_1 = 80 \, \text{lb} \) is attached at point C.### Diagram Description:The diagram shows a horizontal beam supported by a pin at point A and a pulley system at point D. Point C is at the right end of the beam, where the weight \( W_1 \) is attached. The pulley at D changes the direction of a cable connected to the beam at B and C.- **Points and Distances:** - \( A \) is the pivot point (left side). - The beam connects to point B, D (pulley), and ends at C. - Distances from \( A \): - \( d_1 = 5.5 \, \text{ft} \) - \( d_2 = 5 \, \text{ft} \) - \( d_3 = 1.5 \, \text{ft} \)### Tasks:a. Determine the magnitude of the horizontal component of the reaction of pin A, \( A_x \).b. Decide if the reaction \( A_x \) points to the right or left.c. Determine the magnitude of the vertical component of the reaction of pin A, \( A_y \).d. Decide if the reaction \( A_y \) points up or down.e. Determine the magnitude of the tension in the cable, \( T_B \).**Note:** Round your final answers to 3 significant digits/figures.---### Table of Values:| Variable | Value ||----------|--------|| \( d_1 \) | 5.5 ft || \( d_2 \) | 5 ft || \( d_3 \) | 1.5 ft |**Instructions:** Use the given values and diagram to solve the problems. Consider all forces and moments acting on the beam for equilibrium conditions. # Problem Statement on Static Equilibrium Analysis## Given Variables:- \( d_1 = 5.5 \, \text{ft} \)- \( d_2 = 5 \, \text{ft} \)- \( d_3 = 1.5 \, \text{ft} \)## Tasks:a. Determine the magnitude of the horizontal component of the reaction at pin \( A \), denoted as \( A_x \).b. Determine if the reaction \( A_x \) is pointing to the right or left.c. Determine the magnitude of the vertical component of the reaction at pin \( A \), denoted as \( A_y \).d. Determine if the reaction \( A_y \) is pointing up or down.e. Determine the magnitude of the tension in the cable, denoted as \( T_B \).**Instructions**: Round your final answers to 3 significant figures.---### Answer Input Fields:- **\( A_x = \) [____] lb**- **Is the reaction \( A_x \) pointing to the right or left?** - [ ] left - [x] right - **\( A_y = \) [____] lb**- **Is the reaction \( A_y \) pointing up or down?** - [x] down - [ ] up - **\( T_B = \) [____] lb** (Note: The checkmarks indicate the selection in the multiple-choice questions.)

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The beam is supported by a pin at point A and frictionless pulley system at D. The cylinder with a weight of W₁ = 80 lb is attached at point C. A Variable d₁ d₂ d3 B Value Values for the figure are given in the following table. Note the figure may not be to scale. с 5.5 ft 5 ft 1.5 ft W₁ a. Determine the magnitude of the horizontal component of the reaction of pin A, A. b. Is the reaction Ax pointing to the right or left? c. Determine the magnitude of the vertical component of the reaction of pin A, Ay. d. Is the reaction Ay pointing to the up or down? e. Determine the magnitude of the tension in the cable, TB

The beam is supported by a pin at point A and frictionless pulley system at D. The cylinder with a weight of W₁ = 80 lb is attached at point C. A Variable d₁ d₂ d3 B Value Values for the figure are given in the following table. Note the figure may not be to scale. с 5.5 ft 5 ft 1.5 ft W₁ a. Determine the magnitude of the horizontal component of the reaction of pin A, A. b. Is the reaction Ax pointing to the right or left? c. Determine the magnitude of the vertical component of the reaction of pin A, Ay. d. Is the reaction Ay pointing to the up or down? e. Determine the magnitude of the tension in the cable, TB

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

The beam is supported by a pin at point A and a frictionless pulley system at D. The cylinder with a weight of \( W_1 = 80 \, \text{lb} \) is attached at point C.

### Diagram Description:

The diagram shows a horizontal beam supported by a pin at point A and a pulley system at point D. Point C is at the right end of the beam, where the weight \( W_1 \) is attached. The pulley at D changes the direction of a cable connected to the beam at B and C.

- **Points and Distances:**
- \( A \) is the pivot point (left side).
- The beam connects to point B, D (pulley), and ends at C.
- Distances from \( A \):
- \( d_1 = 5.5 \, \text{ft} \)
- \( d_2 = 5 \, \text{ft} \)
- \( d_3 = 1.5 \, \text{ft} \)

### Tasks:
a. Determine the magnitude of the horizontal component of the reaction of pin A, \( A_x \).

b. Decide if the reaction \( A_x \) points to the right or left.

c. Determine the magnitude of the vertical component of the reaction of pin A, \( A_y \).

d. Decide if the reaction \( A_y \) points up or down.

e. Determine the magnitude of the tension in the cable, \( T_B \).

**Note:** Round your final answers to 3 significant digits/figures.

---
### Table of Values:

| Variable | Value |
|----------|--------|
| \( d_1 \) | 5.5 ft |
| \( d_2 \) | 5 ft |
| \( d_3 \) | 1.5 ft |

**Instructions:** Use the given values and diagram to solve the problems. Consider all forces and moments acting on the beam for equilibrium conditions.

# Problem Statement on Static Equilibrium Analysis

## Given Variables:

- \( d_1 = 5.5 \, \text{ft} \)
- \( d_2 = 5 \, \text{ft} \)
- \( d_3 = 1.5 \, \text{ft} \)

## Tasks:

a. Determine the magnitude of the horizontal component of the reaction at pin \( A \), denoted as \( A_x \).

b. Determine if the reaction \( A_x \) is pointing to the right or left.

c. Determine the magnitude of the vertical component of the reaction at pin \( A \), denoted as \( A_y \).

d. Determine if the reaction \( A_y \) is pointing up or down.

e. Determine the magnitude of the tension in the cable, denoted as \( T_B \).

**Instructions**: Round your final answers to 3 significant figures.

---

### Answer Input Fields:

- **\( A_x = \) [____] lb**

- **Is the reaction \( A_x \) pointing to the right or left?**
- [ ] left
- [x] right

- **\( A_y = \) [____] lb**

- **Is the reaction \( A_y \) pointing up or down?**
- [x] down
- [ ] up

- **\( T_B = \) [____] lb**

(Note: The checkmarks indicate the selection in the multiple-choice questions.)

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