### Educational Task: Analysis of a Loaded Steel BarThe image presents a mechanical problem involving a steel bar assembly, snugly fit between two fixed rigid supports, labeled C and A, before the application of a load at Collar B. ### Problem Details:- **Material:** Steel - **Elastic Modulus (E):** 200 GPa - **Bar Characteristics:** Circular and solid with a diameter of 15 mm - **Positions and Distances:** - Length from C to B: 3 m - Length from B to A: 2 m- **Load Applied at B:** 6 kN directed towards point A### Tasks:#### A) Show the Free Body Diagram (FBD) and Compatibility Equation:- This involves drawing the FBD to illustrate forces acting on the bar, showing the load at B and reaction forces at A and C. - The compatibility equation should relate to deformations in the bar owing to elasticity and constraints by supports.#### B) Determine the Support Reactions at A and C (Horizontal Forces Only):- Calculate the reaction forces, \( F_A \) and \( F_C \), at supports A and C caused by the 6 kN applied load. **Calculation Fields:**- **Left side:** \[ F_C = \underline{\qquad\qquad\qquad} \]- **Right side:** \[ F_A = \underline{\qquad\qquad\qquad} \]By completing these tasks, the student will understand how to analyze forces and compatibility in a mechanical system with given constraints and material properties.

Answered: Image /qna-images/answer/f2c20cc7-24d1-480c-a1a4-33695471631e.jpg

The bar is snugly fit between points C and A before the loading is applied at Collar B. Assume E = 200 GPa for the steel. The circular bars in the assembly are solid. The bars are solid with a diameter of 15 mm. Assume a fixed rigid support at C and A. A C В 6 kN 3 m 2 m A) Show the FBD and compatibility equation for this problem. B) Determine the support reactions at A and C. (Horizontal forces only) Left side: Fc = Right side: FA =

The bar is snugly fit between points C and A before the loading is applied at Collar B. Assume E = 200 GPa for the steel. The circular bars in the assembly are solid. The bars are solid with a diameter of 15 mm. Assume a fixed rigid support at C and A. A C В 6 kN 3 m 2 m A) Show the FBD and compatibility equation for this problem. B) Determine the support reactions at A and C. (Horizontal forces only) Left side: Fc = Right side: FA =

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

### Educational Task: Analysis of a Loaded Steel Bar

The image presents a mechanical problem involving a steel bar assembly, snugly fit between two fixed rigid supports, labeled C and A, before the application of a load at Collar B.

### Problem Details:
- **Material:** Steel
- **Elastic Modulus (E):** 200 GPa
- **Bar Characteristics:** Circular and solid with a diameter of 15 mm
- **Positions and Distances:**
- Length from C to B: 3 m
- Length from B to A: 2 m
- **Load Applied at B:** 6 kN directed towards point A

### Tasks:
#### A) Show the Free Body Diagram (FBD) and Compatibility Equation:
- This involves drawing the FBD to illustrate forces acting on the bar, showing the load at B and reaction forces at A and C.
- The compatibility equation should relate to deformations in the bar owing to elasticity and constraints by supports.

#### B) Determine the Support Reactions at A and C (Horizontal Forces Only):
- Calculate the reaction forces, \( F_A \) and \( F_C \), at supports A and C caused by the 6 kN applied load.

**Calculation Fields:**
- **Left side:**
\[
F_C = \underline{\qquad\qquad\qquad}
\]
- **Right side:**
\[
F_A = \underline{\qquad\qquad\qquad}
\]

By completing these tasks, the student will understand how to analyze forces and compatibility in a mechanical system with given constraints and material properties.

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