1. The bracket has disks that fit loosely on a 4 cm diameter vertical pole. The bracket stays in place by friction (u = 0.25) between the two disks and the pole. a) b) with x measured from point B c) place, determine the forces carried by members BC and CD (assume the bracket meets the assumptions for a truss) d) to x=24cm, and the bracket stays in place, diagram the internal shear forces and bending draw a free body diagram of the bracket determine the range of x where the bracket stays in place with a load W placed on BC, if a 20N load is placed at the end of the bracket (x=24cm) and the bracket stays in if member CD is removed and a 2N/cm distributed load is placed on BC from x=20cm moments in BC.

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
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### Transcription for Educational Use

#### Diagram Description

The diagram illustrates a vertical pole with a diameter of 4 cm, fitted with a bracket. The bracket is composed of members BC and CD, connected at points B, C, and D. The vertical height of the pole segment AB is 10 cm, and the horizontal extension of the bracket from D to C measures 24 cm. There is an arrow labeled "W" indicating a load applied at a distance "x" from point B.

On the right, an additional diagram represents part (d), where member CD is removed, and the setup changes to accommodate a distributed load along BC.

#### Instructions and Questions

1. **Bracket Description:**
   - The bracket has disks that fit loosely on a vertical pole with a diameter of 4 cm. The bracket is held in place by friction (coefficient of friction, μ = 0.25) between the disks and the pole.

2. **Tasks:**
   - **a)** Draw a free body diagram of the bracket.
   - **b)** Determine the range of "x" where the bracket stays in place under a load "W" applied on BC, with "x" measured from point B.
   - **c)** If a 20 N load is placed at the end of the bracket (x = 24 cm) and the bracket remains in place, determine the forces carried by members BC and CD. Assume the bracket meets the truss assumptions.
   - **d)** If member CD is removed and a 2 N/cm distributed load is applied on BC from x = 20 cm to x = 24 cm, and the bracket stays in place, create diagrams showing the internal shear forces and bending moments in BC.

#### Explanation of the Diagrams and Concepts

- **Free Body Diagram (FBD):** An FBD is essential for analyzing the forces acting on the bracket. It will help visualize how the load "W" impacts the bracket and how the forces are distributed through BC and CD.
  
- **Range Determination for "x":** This involves calculating the positions along BC where the bracket will remain stable under load, considering the given friction coefficient.

- **Truss Assumptions:** Typically, for truss calculations, joints are assumed to be pin connections allowing rotation, and members are considered to carry only axial loads.

- **Distributed Load Analysis:** When assessing the effects of a distributed load without member CD, it's
Transcribed Image Text:### Transcription for Educational Use #### Diagram Description The diagram illustrates a vertical pole with a diameter of 4 cm, fitted with a bracket. The bracket is composed of members BC and CD, connected at points B, C, and D. The vertical height of the pole segment AB is 10 cm, and the horizontal extension of the bracket from D to C measures 24 cm. There is an arrow labeled "W" indicating a load applied at a distance "x" from point B. On the right, an additional diagram represents part (d), where member CD is removed, and the setup changes to accommodate a distributed load along BC. #### Instructions and Questions 1. **Bracket Description:** - The bracket has disks that fit loosely on a vertical pole with a diameter of 4 cm. The bracket is held in place by friction (coefficient of friction, μ = 0.25) between the disks and the pole. 2. **Tasks:** - **a)** Draw a free body diagram of the bracket. - **b)** Determine the range of "x" where the bracket stays in place under a load "W" applied on BC, with "x" measured from point B. - **c)** If a 20 N load is placed at the end of the bracket (x = 24 cm) and the bracket remains in place, determine the forces carried by members BC and CD. Assume the bracket meets the truss assumptions. - **d)** If member CD is removed and a 2 N/cm distributed load is applied on BC from x = 20 cm to x = 24 cm, and the bracket stays in place, create diagrams showing the internal shear forces and bending moments in BC. #### Explanation of the Diagrams and Concepts - **Free Body Diagram (FBD):** An FBD is essential for analyzing the forces acting on the bracket. It will help visualize how the load "W" impacts the bracket and how the forces are distributed through BC and CD. - **Range Determination for "x":** This involves calculating the positions along BC where the bracket will remain stable under load, considering the given friction coefficient. - **Truss Assumptions:** Typically, for truss calculations, joints are assumed to be pin connections allowing rotation, and members are considered to carry only axial loads. - **Distributed Load Analysis:** When assessing the effects of a distributed load without member CD, it's
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