frame shown below, P=20 kN and a=2 m. Use the virtual work method to calculate the rotation of node A.
frame shown below, P=20 kN and a=2 m. Use the virtual work method to calculate the rotation of node A.
Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
5th Edition
ISBN:9781305084766
Author:Saeed Moaveni
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Chapter12: Electric Current And Related Variables In Engineering
Section12.2: Electrical Circuits And Components
Problem 6BYG
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frame shown below, P=20 kN and a=2 m.
Use the virtual work method to calculate the rotation of node A.
What I'm looking for isn't how to do virtual work or real work.
What I'm trying to figure out is the correct forces during virtual work for Ay, Bx, By, Cx, and Cy.
*I'm have trouble using the rotation of 1.0 at Node A*
![The diagram represents a structural beam system subjected to various forces and supports at specified points. Here's a detailed description:
- **Supports:**
- Point A features a pin support.
- Point B is supported vertically.
- Point C is another pin support.
- **Loads and Forces:**
- Horizontal loads of 3P act to the right at both points D and A.
- A vertical upward load of 4P acts at point G.
- **Dimensions and Distances:**
- The horizontal beam spans from point D to point H, with point placements as follows:
- AD = a
- DE = 2a
- EF = 2a
- FG = a
- GH = 2a
- The vertical distances are:
- From F to point B, the distance is a.
- From H to point C, the distance is 2a.
This description showcases the structural configuration, highlighting the positioning and magnitude of external loads and the distribution of supports. This setup is often used to analyze the equilibrium and stability of such structural elements.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2fcb0ac2-c365-43e1-ab5c-a271b4af4a10%2F8be2e8e9-6d24-4078-a912-3cff6c3f4d4a%2Fur3dehe_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The diagram represents a structural beam system subjected to various forces and supports at specified points. Here's a detailed description:
- **Supports:**
- Point A features a pin support.
- Point B is supported vertically.
- Point C is another pin support.
- **Loads and Forces:**
- Horizontal loads of 3P act to the right at both points D and A.
- A vertical upward load of 4P acts at point G.
- **Dimensions and Distances:**
- The horizontal beam spans from point D to point H, with point placements as follows:
- AD = a
- DE = 2a
- EF = 2a
- FG = a
- GH = 2a
- The vertical distances are:
- From F to point B, the distance is a.
- From H to point C, the distance is 2a.
This description showcases the structural configuration, highlighting the positioning and magnitude of external loads and the distribution of supports. This setup is often used to analyze the equilibrium and stability of such structural elements.
Expert Solution
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Step 1: State the given data
Given:
P = 20 kN and a = 2m
Required:
Rotation of node A
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