(a) (b) (e) A 10' 8 kips B Find critical points 10' 0.25 kips/ft C Calculate moment at these critical points Draw a shear diagram Į 10' Draw a final moment diagram including dashed line 15, kips D 25 kip *ft (c) How many superposition sections (dashed line area)? Where is (are) superpositio (e.g., A-B or A-C, etc.) (d) Calculate moment value at B using superposition and show procedure including equation in order to superimpose from the basic structures

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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### Structural Analysis Problem

#### Beam Diagram Description:
The beam shown is supported at point A (a pinned support) and point C (a roller support). It is subjected to the following loads:
- A point load of 8 kips at point B.
- A distributed load of 0.25 kips/ft over the span BC.
- A point load of 15 kips at point D.
- A couple moment of 25 kip*ft at point D.

The beam is divided into the following sections:
- Section AB: 10 feet
- Section BC: 10 feet
- Section CD: 10 feet

#### Problems to Solve:
(a) **Find Critical Points**
- Identify the locations along the beam where the moments and shear forces need to be calculated.

(b) **Calculate Moment at These Critical Points**
- Determine the bending moment values at the identified critical points.

(c) **Superposition Sections**
- Determine the number of superposition sections (areas marked by dashed lines).
- Identify where these superposition areas occur (e.g., A-B or A-C).

(d) **Moment Calculation at B Using Superposition**
- Calculate the moment value at point B utilizing the principle of superposition.
- Show the procedure, including an equation to superimpose the effects from the basic structures.

(e) **Draw a Final Moment Diagram Including Dashed Line**
- Construct the moment diagram for the entire beam, including the effect of the initial loads and identified critical points.

(f) **Draw a Shear Diagram**
- Illustrate the shear force distribution along the beam span.

This problem involves applying principles of static equilibrium, superposition, and understanding of distributed and point loads on beams to analyze and design structural elements effectively.
Transcribed Image Text:### Structural Analysis Problem #### Beam Diagram Description: The beam shown is supported at point A (a pinned support) and point C (a roller support). It is subjected to the following loads: - A point load of 8 kips at point B. - A distributed load of 0.25 kips/ft over the span BC. - A point load of 15 kips at point D. - A couple moment of 25 kip*ft at point D. The beam is divided into the following sections: - Section AB: 10 feet - Section BC: 10 feet - Section CD: 10 feet #### Problems to Solve: (a) **Find Critical Points** - Identify the locations along the beam where the moments and shear forces need to be calculated. (b) **Calculate Moment at These Critical Points** - Determine the bending moment values at the identified critical points. (c) **Superposition Sections** - Determine the number of superposition sections (areas marked by dashed lines). - Identify where these superposition areas occur (e.g., A-B or A-C). (d) **Moment Calculation at B Using Superposition** - Calculate the moment value at point B utilizing the principle of superposition. - Show the procedure, including an equation to superimpose the effects from the basic structures. (e) **Draw a Final Moment Diagram Including Dashed Line** - Construct the moment diagram for the entire beam, including the effect of the initial loads and identified critical points. (f) **Draw a Shear Diagram** - Illustrate the shear force distribution along the beam span. This problem involves applying principles of static equilibrium, superposition, and understanding of distributed and point loads on beams to analyze and design structural elements effectively.
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An overhanging beam with uniformly distributed load, two point loads and a moment acting at the free end.

To find:

  • The critical points.
  • Moment at these critical points.
  • Draw the bending moment diagram.
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