The pin-connected structure is loaded and supported as shown below. Member ABCD is a rigid bar that is horizontal before a load P = 20 kips is applied at end D. Bars (1) and (2) are made ofsteel [E = 30,000 ksi], and each bar has a cross-sectional area of 0.55 in2.Sketch the free body diagram of member ABCD.Given that F1 = 2.0833 F2, determine the normal stress and the axial deformation in each bar. ### Diagram ExplanationThe diagram is a structural sketch depicting a fixed bar AB with supports placed from a vertical structure, utilizing two members (1) and (2).#### Key Elements:- **Vertical Support**: The left side of the diagram shows a vertical support or wall that is 300 inches tall. - **Bars**: - Bar (1) and Bar (2) extend diagonally from point E on the vertical support to points B and C on the aligned bar. - The aligned bar, labeled as "Aligned Bar," is supported horizontally from point A to D. - **Measurements**: - The total horizontal span from A to D is segmented as follows: - From A to B, the length is 300 inches. - From B to C, the length is 120 inches. - From C to D, the length is 60 inches.- **Forces**: - At point D, a downward force of 20 kips is indicated.This diagram is a classic structural analysis problem involving a cantilever beam with multiple supports and a load applied at the end. The different sections and points, along with the force applied, can be used to calculate reactions at the supports and the stress within the structure. Understanding the diagram is crucial for determining the stability and load-bearing capabilities of the assembly.

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Answered: The pin-connected structure is loaded…

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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The pin-connected structure is loaded and supported as shown below. Member ABCD is a rigid bar that is horizontal before a load P = 20 kips is applied at end D. Bars (1) and (2) are made of
steel [E = 30,000 ksi], and each bar has a cross-sectional area of 0.55 in².

Sketch the free body diagram of member ABCD.
Given that F1 = 2.0833 F2, determine the normal stress and the axial deformation in each bar.

### Diagram Explanation

The diagram is a structural sketch depicting a fixed bar AB with supports placed from a vertical structure, utilizing two members (1) and (2).

#### Key Elements:

- **Vertical Support**: The left side of the diagram shows a vertical support or wall that is 300 inches tall.

- **Bars**:
- Bar (1) and Bar (2) extend diagonally from point E on the vertical support to points B and C on the aligned bar.
- The aligned bar, labeled as "Aligned Bar," is supported horizontally from point A to D.

- **Measurements**:
- The total horizontal span from A to D is segmented as follows:
- From A to B, the length is 300 inches.
- From B to C, the length is 120 inches.
- From C to D, the length is 60 inches.

- **Forces**:
- At point D, a downward force of 20 kips is indicated.

This diagram is a classic structural analysis problem involving a cantilever beam with multiple supports and a load applied at the end. The different sections and points, along with the force applied, can be used to calculate reactions at the supports and the stress within the structure. Understanding the diagram is crucial for determining the stability and load-bearing capabilities of the assembly.

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