1. For the frame and loading to the right, determine the following: a) Draw the free body diagram of the entire frame and of each member; show all forces, including directions, if known. b) Determine the x-and y- components of all the forces acting on member ABE. Specify the direction (→, +, T, J) for each. Ans: Ax = 2025.25 N , Ay = 1800 N , B, = 4050.5 N →, B, = 1200 N ↑, E, = 2025.25.N , Ey = 600 N ↑ 2.7 m %3D %3D %3D %3D 2.7 m

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter1: Tension, Compression, And Shear
Section: Chapter Questions
Problem 1.8.22P: A cargo ship is tied down to marine boll arts at a number of points along its length while its cargo...
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**Educational Content on Frame Analysis**

**Problem Statement:**

1. For the frame and loading to the right, determine the following:

   a) Draw the free body diagram of the entire frame and of each member; show all forces, including directions, if known.

   b) Determine the x- and y- components of all the forces acting on member ABE. Specify the direction (→, ←, ↑, ↓) for each.

**Solution:**

- **Ax = 2025.25 N ←**
- **Ay = 1800 N ↓**
- **Bx = 4050.5 N →**
- **By = 1200 N ↑**
- **Ex = 2025.25 N ←**
- **Ey = 600 N ↑**

**Diagram Explanation:**

- The frame consists of members ABE, BC, and CD, making an "A"-shaped structure.
- Member AE is vertical with a height of 2.7 m.
- Member AB is inclined and connects point A to point B at the top of the frame with a horizontal distance of 3.6 m from A.
- Member BC is horizontal, extending 2.1 m horizontally from B to C, which connects to member CD.
- Member CD is inclined downward from C to D with a vertical load of 2400 N applied at D.

- The base of the frame stretches 4.8 m horizontally with two supports, one under point E and the other under point F.
- The internal forces are resolved into their x- and y-components at various joints and are specified with directions using arrows.
- The problem provides the calculated force components for member ABE, essential for structural analysis.
Transcribed Image Text:**Educational Content on Frame Analysis** **Problem Statement:** 1. For the frame and loading to the right, determine the following: a) Draw the free body diagram of the entire frame and of each member; show all forces, including directions, if known. b) Determine the x- and y- components of all the forces acting on member ABE. Specify the direction (→, ←, ↑, ↓) for each. **Solution:** - **Ax = 2025.25 N ←** - **Ay = 1800 N ↓** - **Bx = 4050.5 N →** - **By = 1200 N ↑** - **Ex = 2025.25 N ←** - **Ey = 600 N ↑** **Diagram Explanation:** - The frame consists of members ABE, BC, and CD, making an "A"-shaped structure. - Member AE is vertical with a height of 2.7 m. - Member AB is inclined and connects point A to point B at the top of the frame with a horizontal distance of 3.6 m from A. - Member BC is horizontal, extending 2.1 m horizontally from B to C, which connects to member CD. - Member CD is inclined downward from C to D with a vertical load of 2400 N applied at D. - The base of the frame stretches 4.8 m horizontally with two supports, one under point E and the other under point F. - The internal forces are resolved into their x- and y-components at various joints and are specified with directions using arrows. - The problem provides the calculated force components for member ABE, essential for structural analysis.
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