The pin-connected frame shown consists of members ACF, ADG, and BCDE. It is loaded as shown. 200 Ib/ft 240 Ib 4 ft B 4 ft + 4 ft 4 ft 4 ft Determine the forces pins C and D apply to member BCDE in pounds. (Assume that the +x-axis is to the right and the +y-axis is up along the page. magnitude Ib direction (The magnitude is zero. magnitude Ib direction magnitude Ib direction The magnitude is zero. magnitude Ib direction LILİLİLİI
The pin-connected frame shown consists of members ACF, ADG, and BCDE. It is loaded as shown. 200 Ib/ft 240 Ib 4 ft B 4 ft + 4 ft 4 ft 4 ft Determine the forces pins C and D apply to member BCDE in pounds. (Assume that the +x-axis is to the right and the +y-axis is up along the page. magnitude Ib direction (The magnitude is zero. magnitude Ib direction magnitude Ib direction The magnitude is zero. magnitude Ib direction LILİLİLİI
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:# Structural Analysis of a Pin-Connected Frame
The illustrated pin-connected frame consists of members ACF, ADG, and BCDE. The frame is loaded as depicted in the diagram.
## Diagram Overview
- **Frame Members**: ACF, ADG, BCDE.
- **Load and Dimensions**:
- A distributed load of 200 lb/ft acts on the horizontal beam AB.
- A concentrated load of 240 lb is applied vertically downward at point E.
- Vertical distances from A to B and C to D are both 4 ft.
- Horizontal distances between points F and B, B and C, D and E are all 4 ft each.
## Problem Statement
Determine the forces that pins C and D apply to member BCDE. Assume the +x-axis is to the right and the +y-axis is upward along the page.
## Forces at Joints
- **At Pin C:**
- **\( C_x \)**
- Magnitude: 0 lb
- Direction: The magnitude is zero.
- **\( C_y \)**
- Magnitude: Unknown (Input required)
- Direction: Upward
- **At Pin D:**
- **\( D_x \)**
- Magnitude: 0 lb
- Direction: The magnitude is zero.
- **\( D_y \)**
- Magnitude: Unknown (Input required)
- Direction: Upward
In structural analysis, determining these forces is crucial for understanding the stability and integrity of the frame under the given loads.
![**The Frame and Load Configuration**
The diagram illustrates a structural frame with the following details:
- The frame includes points A, B, C, D, E, and F.
- Vertical distances are noted as 3 meters, dividing the frame into sections.
- A distributed load of 525 N/m is applied along member CD.
- Supports are located at E and F, with equal horizontal distances of 3 meters between B, C, D, and the supports.
**Task: Determining Forces at Pins B and C**
You are required to calculate the forces applied by pins B and C on member BCD, expressed in newtons. It's crucial to use the coordinate system where the +x-axis is oriented to the right and the +y-axis is oriented upwards.
**Calculations:**
- **Force \( B_x \):**
- Magnitude: 0 N
- Direction: The magnitude is zero, thus no direction is applicable.
- **Force \( B_y \):**
- Magnitude: [To be calculated]
- Direction: Downwards (↓)
- **Force \( C_x \):**
- Magnitude: 0 N
- Direction: The magnitude is zero, thus no direction is applicable.
- **Force \( C_y \):**
- Magnitude: [To be calculated]
- Direction: Upwards (↑)
To solve for the magnitudes of \( B_y \) and \( C_y \), apply the equilibrium equations and consider the distributed load on member CD.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbf4a0e0b-2125-467b-b1bc-8bc81e995df8%2F47f41316-0058-4318-89cf-2ec8a466ae4d%2F11k03c_processed.png&w=3840&q=75)
Transcribed Image Text:**The Frame and Load Configuration**
The diagram illustrates a structural frame with the following details:
- The frame includes points A, B, C, D, E, and F.
- Vertical distances are noted as 3 meters, dividing the frame into sections.
- A distributed load of 525 N/m is applied along member CD.
- Supports are located at E and F, with equal horizontal distances of 3 meters between B, C, D, and the supports.
**Task: Determining Forces at Pins B and C**
You are required to calculate the forces applied by pins B and C on member BCD, expressed in newtons. It's crucial to use the coordinate system where the +x-axis is oriented to the right and the +y-axis is oriented upwards.
**Calculations:**
- **Force \( B_x \):**
- Magnitude: 0 N
- Direction: The magnitude is zero, thus no direction is applicable.
- **Force \( B_y \):**
- Magnitude: [To be calculated]
- Direction: Downwards (↓)
- **Force \( C_x \):**
- Magnitude: 0 N
- Direction: The magnitude is zero, thus no direction is applicable.
- **Force \( C_y \):**
- Magnitude: [To be calculated]
- Direction: Upwards (↑)
To solve for the magnitudes of \( B_y \) and \( C_y \), apply the equilibrium equations and consider the distributed load on member CD.
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