For the beam shown in the figure, draw the following influence lines using Muller- Breslålu principle (a) Reaction at support B (b) Shear force at hinge E (c) Bending moment at fixed end F (d) Shear force just to the left of B A B. HINGE HINGE Ksm * 8m 6m 4m ,4m.

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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**Transcription for Educational Website**

Title: Influence Lines for Beam Analysis using the Muller-Breslau Principle

**Problem Statement:**

For the beam shown in the figure, draw the following influence lines using the Muller-Breslau principle:

(a) **Reaction at Support B**  
(b) **Shear Force at Hinge E**  
(c) **Bending Moment at Fixed End F**  
(d) **Shear Force Just to the Left of B**

**Diagram Explanation:**

The diagram shows a beam structure with several supports and hinges:

- The beam begins at point A and ends at point F.
- There is a support at point B, marked with a triangular support symbol.
- Hinges are located at points C and E.
- Another support is present at point D.
- The far end, point F, is fixed, indicated by a solid wall symbol.
- The segments of the beam between these points are of various lengths:
  - A to B is 5 meters
  - B to C is 8 meters
  - C to D is 6 meters
  - D to E is 4 meters
  - E to F is 4 meters

This configuration creates a compound beam structure with multiple points of interest for the application of the Muller-Breslau principle, a method used to determine influence lines, which are essential for understanding how moving loads will affect reactions, shear forces, and bending moments within a structure.
Transcribed Image Text:**Transcription for Educational Website** Title: Influence Lines for Beam Analysis using the Muller-Breslau Principle **Problem Statement:** For the beam shown in the figure, draw the following influence lines using the Muller-Breslau principle: (a) **Reaction at Support B** (b) **Shear Force at Hinge E** (c) **Bending Moment at Fixed End F** (d) **Shear Force Just to the Left of B** **Diagram Explanation:** The diagram shows a beam structure with several supports and hinges: - The beam begins at point A and ends at point F. - There is a support at point B, marked with a triangular support symbol. - Hinges are located at points C and E. - Another support is present at point D. - The far end, point F, is fixed, indicated by a solid wall symbol. - The segments of the beam between these points are of various lengths: - A to B is 5 meters - B to C is 8 meters - C to D is 6 meters - D to E is 4 meters - E to F is 4 meters This configuration creates a compound beam structure with multiple points of interest for the application of the Muller-Breslau principle, a method used to determine influence lines, which are essential for understanding how moving loads will affect reactions, shear forces, and bending moments within a structure.
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