Determine the force in link CD of the vise grip. 5 lb 0.75 in. 1 in. 20° -1.5 in.1 in. 3 in. 5 lb

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
icon
Related questions
icon
Concept explainers
Question
### Topic: Analyzing Reactions and Member Forces in Structures

#### Problem Statement:
**(B) Determine the reactions and member forces in the structures/machines. Show all free-body diagrams.**

---

#### Explanation:

When analyzing the forces in mechanical structures, it is crucial to determine the reactions and member forces accurately. The steps to solve these problems typically involve:

1. **Drawing Free-Body Diagrams (FBDs):**
   - Free-Body Diagrams are used to visualize the forces acting on each part of the structure or machine.
   - These diagrams help isolate a system or subsystem to highlight all applied forces, thus simplifying the analysis.

2. **Equilibrium Conditions:**
   - Apply the conditions of static equilibrium to each FBD.
   - The sum of forces in the horizontal and vertical directions should be zero.
   - The sum of moments about any point should also be zero.

3. **Solving for Unknowns:**
   - Use algebraic methods to solve for unknown forces and support reactions.
   - In more complex systems, use methods like the method of joints or sections for trusses.

4. **Verification:**
   - Check results to ensure all equilibrium conditions are satisfied.
   - Review the diagrams to ensure all forces are accounted for correctly.

Free-body diagrams will typically include:
- Representation of the member/system.
- All external forces and moments.
- Support reactions.
- Applied loads.

For educational purposes, detailed steps and example problems can provide deeper understanding. Diagrams and calculations should be clearly labeled and solved step-by-step to aid learning.

---

This detailed textual reference aids in understanding the importance of free-body diagrams and systematic analysis in determining reactions and member forces in mechanical structures. Further examples and exercises are recommended to build proficiency.
Transcribed Image Text:### Topic: Analyzing Reactions and Member Forces in Structures #### Problem Statement: **(B) Determine the reactions and member forces in the structures/machines. Show all free-body diagrams.** --- #### Explanation: When analyzing the forces in mechanical structures, it is crucial to determine the reactions and member forces accurately. The steps to solve these problems typically involve: 1. **Drawing Free-Body Diagrams (FBDs):** - Free-Body Diagrams are used to visualize the forces acting on each part of the structure or machine. - These diagrams help isolate a system or subsystem to highlight all applied forces, thus simplifying the analysis. 2. **Equilibrium Conditions:** - Apply the conditions of static equilibrium to each FBD. - The sum of forces in the horizontal and vertical directions should be zero. - The sum of moments about any point should also be zero. 3. **Solving for Unknowns:** - Use algebraic methods to solve for unknown forces and support reactions. - In more complex systems, use methods like the method of joints or sections for trusses. 4. **Verification:** - Check results to ensure all equilibrium conditions are satisfied. - Review the diagrams to ensure all forces are accounted for correctly. Free-body diagrams will typically include: - Representation of the member/system. - All external forces and moments. - Support reactions. - Applied loads. For educational purposes, detailed steps and example problems can provide deeper understanding. Diagrams and calculations should be clearly labeled and solved step-by-step to aid learning. --- This detailed textual reference aids in understanding the importance of free-body diagrams and systematic analysis in determining reactions and member forces in mechanical structures. Further examples and exercises are recommended to build proficiency.
### Determining the Force in Link CD of the Vise Grip

#### Problem Statement:
Determine the force in link CD of the vise grip as shown in the diagram.

#### Diagram Explanation:
- The vise grip consists of pivot points and links that move to exert force.
- **Points A, B, D, E, and C** are the pivot points of the vise grip.
- Link CD, whose force we need to determine, is one of the links extending from point D.
- A force of 5 pounds is applied at the handles of the vise grip, denoted by arrows at two points along the handles.

#### Dimensions:
1. **Distance from A to B:** 0.75 inches
2. **Distance from A to E:** 1 inch
3. **Distance from A to the horizontal component of the force:** 1.5 inches
4. **Distance from E to the line of action at the handle:** 3 inches
5. **Angle between the line from A to E and the horizontal component of the force:** 20 degrees

#### Forces Acting on the Vise Grip:
- Two forces of 5 pounds each are acting on the handle of the vise grip. These forces create a moment about the pivot points leading to clamping action.

#### Steps to Determine Force in Link CD:
1. **Free Body Diagram (FBD):** 
   - Draw the FBD of each segment of the vise grip.
   - Identify the points where forces and reactions occur (at pivots and points of force application).

2. **Moments and Equilibrium:**
   - Use the equilibrium equations (ΣF = 0, ΣM = 0) to set up the moments about pivot points.
   - Assume the force in link CD as \(F_{CD}\).

3. **Calculating Moments:**
   - Select the pivot point (for example, point E) and calculate moments created by the 5 lb forces considering lever arms through the given dimensions.

4. **Solving for \(F_{CD}\):**
   - Use trigonometric relationships to resolve the forces at various angles and distances.
   - Apply the equilibrium conditions to solve for \(F_{CD}\).

### Graphs and Diagrams:
- The provided diagram is a crucial visual aid depicting the dimensions, forces, and structural components of the vise grip. The detailed measurements and angles assist in applying physics principles for calculation.

#### Conclusion:
By
Transcribed Image Text:### Determining the Force in Link CD of the Vise Grip #### Problem Statement: Determine the force in link CD of the vise grip as shown in the diagram. #### Diagram Explanation: - The vise grip consists of pivot points and links that move to exert force. - **Points A, B, D, E, and C** are the pivot points of the vise grip. - Link CD, whose force we need to determine, is one of the links extending from point D. - A force of 5 pounds is applied at the handles of the vise grip, denoted by arrows at two points along the handles. #### Dimensions: 1. **Distance from A to B:** 0.75 inches 2. **Distance from A to E:** 1 inch 3. **Distance from A to the horizontal component of the force:** 1.5 inches 4. **Distance from E to the line of action at the handle:** 3 inches 5. **Angle between the line from A to E and the horizontal component of the force:** 20 degrees #### Forces Acting on the Vise Grip: - Two forces of 5 pounds each are acting on the handle of the vise grip. These forces create a moment about the pivot points leading to clamping action. #### Steps to Determine Force in Link CD: 1. **Free Body Diagram (FBD):** - Draw the FBD of each segment of the vise grip. - Identify the points where forces and reactions occur (at pivots and points of force application). 2. **Moments and Equilibrium:** - Use the equilibrium equations (ΣF = 0, ΣM = 0) to set up the moments about pivot points. - Assume the force in link CD as \(F_{CD}\). 3. **Calculating Moments:** - Select the pivot point (for example, point E) and calculate moments created by the 5 lb forces considering lever arms through the given dimensions. 4. **Solving for \(F_{CD}\):** - Use trigonometric relationships to resolve the forces at various angles and distances. - Apply the equilibrium conditions to solve for \(F_{CD}\). ### Graphs and Diagrams: - The provided diagram is a crucial visual aid depicting the dimensions, forces, and structural components of the vise grip. The detailed measurements and angles assist in applying physics principles for calculation. #### Conclusion: By
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Statics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY