Reaction Force at Joint A? Reaction Force at Joint I? 70° 45° O C 20 lbs -12.00- 36.62⁰ F E 30 lbs H G -3.02-
Reaction Force at Joint A? Reaction Force at Joint I? 70° 45° O C 20 lbs -12.00- 36.62⁰ F E 30 lbs H G -3.02-
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
Related questions
Question
What is the reaction force at joint A and the reaction force at joint I. What is the C and T, X and Y components, the load and the length of each member.
![### Truss Bridge Analysis
#### Diagram Overview
The truss diagram illustrates a symmetrical bridge structure, indicating various joints and members, as well as the forces acting on them. The bridge spans 12.00 units horizontally, with an additional span of 3.02 units at the right end.
#### Angles
- Angle at Joint A: 45°
- Angle at Joint B: 70°
- Angle at Joint E: 36.62°
#### Forces
- Downward force of 20 lbs at Joint C
- Downward force of 30 lbs at Joint E
#### Reactions
- Reaction force at Joint A?
- Reaction force at Joint I?
#### Equations and Calculations
The following equilibrium equations are provided:
- ΣFx = 0
- ΣFy = 0
- ΣM = 0
To check the stability:
\[ 2(j) = m + 3 \]
- \( j \) = number of joints
- \( m \) = number of members
#### Members List
| Member | C or T | X | Y | Load | Length |
|--------|--------|---|---|------|--------|
| AB | | | | | |
| AC | | | | | |
| BC | | | | | |
| BD | | | | | |
| CD | | | | | |
| CE | | | | | |
| DE | | | | | |
| DF | | | | | |
| FE | | | | | |
| FH | | | | | |
| EH | | | | | |
| EG | | | | | |
| HG | | | | | |
| HJ | | | | | |
| GJ | | | | | |
| GI | | | | | |
| JI | | | | | |
#### Instruction
Title: *This bridge is symmetrical but the forces are not](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7e036daf-3930-4d1e-92d7-aa35e6eb95b3%2Fe6fe257b-2c7b-47d7-85a2-86c7af849936%2Fre9oa2pe_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Truss Bridge Analysis
#### Diagram Overview
The truss diagram illustrates a symmetrical bridge structure, indicating various joints and members, as well as the forces acting on them. The bridge spans 12.00 units horizontally, with an additional span of 3.02 units at the right end.
#### Angles
- Angle at Joint A: 45°
- Angle at Joint B: 70°
- Angle at Joint E: 36.62°
#### Forces
- Downward force of 20 lbs at Joint C
- Downward force of 30 lbs at Joint E
#### Reactions
- Reaction force at Joint A?
- Reaction force at Joint I?
#### Equations and Calculations
The following equilibrium equations are provided:
- ΣFx = 0
- ΣFy = 0
- ΣM = 0
To check the stability:
\[ 2(j) = m + 3 \]
- \( j \) = number of joints
- \( m \) = number of members
#### Members List
| Member | C or T | X | Y | Load | Length |
|--------|--------|---|---|------|--------|
| AB | | | | | |
| AC | | | | | |
| BC | | | | | |
| BD | | | | | |
| CD | | | | | |
| CE | | | | | |
| DE | | | | | |
| DF | | | | | |
| FE | | | | | |
| FH | | | | | |
| EH | | | | | |
| EG | | | | | |
| HG | | | | | |
| HJ | | | | | |
| GJ | | | | | |
| GI | | | | | |
| JI | | | | | |
#### Instruction
Title: *This bridge is symmetrical but the forces are not
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