ume F₁ = 250 lb, F₂2 = 80 lb, and F3 = 120 lb in ure 1). Replace the loading by an equivalent resultant e. re 3 ft L. 3 ft -3 ft 30° 1 of 1 Express your answer in pounds to three significant figures. FR = Submit Part B 15. ΑΣΦ | 11 | vec 1 → 0 = Request Answer Determine the angle between the equivalent resultant force and the x axis. Express your answer in degrees to three significant figures. AEO 1 vec 1 SMED ? A ? lb °, measured counterclockwise from the positive z axis
ume F₁ = 250 lb, F₂2 = 80 lb, and F3 = 120 lb in ure 1). Replace the loading by an equivalent resultant e. re 3 ft L. 3 ft -3 ft 30° 1 of 1 Express your answer in pounds to three significant figures. FR = Submit Part B 15. ΑΣΦ | 11 | vec 1 → 0 = Request Answer Determine the angle between the equivalent resultant force and the x axis. Express your answer in degrees to three significant figures. AEO 1 vec 1 SMED ? A ? lb °, measured counterclockwise from the positive z axis
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![### Equivalent Resultant Force Calculation
#### Given Information:
- **Assume:** \( F_1 = 250 \, \text{lb} \), \( F_2 = 80 \, \text{lb} \), and \( F_3 = 120 \, \text{lb} \)
- **Refer to Figure 1:** Replace the loading by an equivalent resultant force.
#### Figure Description:
The figure displays a horizontal beam with three forces acting on it at various points:
- \( F_1 \) (250 lb), an upward force applied 3 feet from point \( A \).
- \( F_2 \) (80 lb), another upward force applied 3 feet to the right of the position of \( F_1 \).
- \( F_3 \) (120 lb), a downward force applied 5 feet to the right of the position of \( F_2 \).
### Part A: Magnitude of the Equivalent Resultant Force
You need to determine the magnitude of the equivalent resultant force (\( F_R \)).
**Express your answer in pounds to three significant figures:**
\[ F_R = \boxed{\phantom{answer}} \, \text{lb} \]
### Part B: Angle of the Equivalent Resultant Force
Determine the angle between the equivalent resultant force and the positive \( x \)-axis.
**Express your answer in degrees to three significant figures:**
\[ \theta = \boxed{\phantom{answer}} \, ° \]
*Note: The angle \( \theta \) is measured counterclockwise from the positive \( x \)-axis.*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F995b5b40-26b1-420f-ae4c-d7493773d7f9%2F60b74518-e3d2-4374-b7d4-71c53ee00a8b%2Fw3u2moe_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Equivalent Resultant Force Calculation
#### Given Information:
- **Assume:** \( F_1 = 250 \, \text{lb} \), \( F_2 = 80 \, \text{lb} \), and \( F_3 = 120 \, \text{lb} \)
- **Refer to Figure 1:** Replace the loading by an equivalent resultant force.
#### Figure Description:
The figure displays a horizontal beam with three forces acting on it at various points:
- \( F_1 \) (250 lb), an upward force applied 3 feet from point \( A \).
- \( F_2 \) (80 lb), another upward force applied 3 feet to the right of the position of \( F_1 \).
- \( F_3 \) (120 lb), a downward force applied 5 feet to the right of the position of \( F_2 \).
### Part A: Magnitude of the Equivalent Resultant Force
You need to determine the magnitude of the equivalent resultant force (\( F_R \)).
**Express your answer in pounds to three significant figures:**
\[ F_R = \boxed{\phantom{answer}} \, \text{lb} \]
### Part B: Angle of the Equivalent Resultant Force
Determine the angle between the equivalent resultant force and the positive \( x \)-axis.
**Express your answer in degrees to three significant figures:**
\[ \theta = \boxed{\phantom{answer}} \, ° \]
*Note: The angle \( \theta \) is measured counterclockwise from the positive \( x \)-axis.*
![### Problem Statement
Assume \( F_1 = 250 \, \text{lb} \), \( F_2 = 80 \, \text{lb} \), and \( F_3 = 120 \, \text{lb} \). Replace the loading by an equivalent resultant force.
### Figure
The figure illustrates a beam with three forces acting on it. The forces are denoted as \( F_1 \), \( F_2 \), and \( F_3 \).
#### Description of the Diagram
- The beam is horizontally aligned and anchored at point \( A \).
- \( F_1 \) is downward acting 3 feet away from point \( A \).
- \( F_2 \) is at an angle of 30° from the horizontal, acting 5 feet away from point \( A \) to the right.
- \( F_3 \) is directed downwards and to the left, forming an angle from the vertical depicted in the diagram, acting 4 feet away from point \( A \) horizontally and 3 feet vertically.
#### Axes:
The diagram references an \( x \)-\( y \) coordinate system where:
- The x-axis is horizontal.
- The y-axis is vertical.
### Part C
Specify where the resultant's line of action intersects the member measured from \( A \).
**Express your answer in feet to three significant figures.**
```
d = [input box] ft
```
**Submit Button with Request Answer Link**
Use this information to solve for the resultant force and its location of intersection relative to point \( A \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F995b5b40-26b1-420f-ae4c-d7493773d7f9%2F60b74518-e3d2-4374-b7d4-71c53ee00a8b%2F7f4u3r_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Problem Statement
Assume \( F_1 = 250 \, \text{lb} \), \( F_2 = 80 \, \text{lb} \), and \( F_3 = 120 \, \text{lb} \). Replace the loading by an equivalent resultant force.
### Figure
The figure illustrates a beam with three forces acting on it. The forces are denoted as \( F_1 \), \( F_2 \), and \( F_3 \).
#### Description of the Diagram
- The beam is horizontally aligned and anchored at point \( A \).
- \( F_1 \) is downward acting 3 feet away from point \( A \).
- \( F_2 \) is at an angle of 30° from the horizontal, acting 5 feet away from point \( A \) to the right.
- \( F_3 \) is directed downwards and to the left, forming an angle from the vertical depicted in the diagram, acting 4 feet away from point \( A \) horizontally and 3 feet vertically.
#### Axes:
The diagram references an \( x \)-\( y \) coordinate system where:
- The x-axis is horizontal.
- The y-axis is vertical.
### Part C
Specify where the resultant's line of action intersects the member measured from \( A \).
**Express your answer in feet to three significant figures.**
```
d = [input box] ft
```
**Submit Button with Request Answer Link**
Use this information to solve for the resultant force and its location of intersection relative to point \( A \).
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