Q4 Draw the influence lines for (a) the vertical reaction at B, (b) the shear just to the right of the rocker at A, and (c) the moment at C. Solve this problem using Müller-Breslau's principle. Solution (a) (b) By Ist 12 -0.5 VA+ H 0.5 12 18 6 ft 18 -x (ft) -x (ft) (C) 6 ft Me ņ To 6 ft A 12 18 B -X(ft)
Q4 Draw the influence lines for (a) the vertical reaction at B, (b) the shear just to the right of the rocker at A, and (c) the moment at C. Solve this problem using Müller-Breslau's principle. Solution (a) (b) By Ist 12 -0.5 VA+ H 0.5 12 18 6 ft 18 -x (ft) -x (ft) (C) 6 ft Me ņ To 6 ft A 12 18 B -X(ft)
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Please solve this problem in detail so a beginner can understand your thought process. Go over every step.
Subject is Structural Analysis
Transcribed Image Text:**Q4** Draw the influence lines for (a) the vertical reaction at B, (b) the shear just to the right of the rocker at A, and (c) the moment at C. Solve this problem using Müller-Breslau’s principle.
**Solution**
**Diagrams:**
1. **Beam Diagram:**
- A horizontal beam is shown with supports at points A (rocker) and B.
- The total span is 18 ft, with sections divided into three equal parts of 6 ft each: A to C, C to B, and A to B.
2. **Influence Line Graphs:**
**(a) Vertical Reaction at B:**
- The graph shows a linear plot from (0, -0.5) to (18, 1).
- The x-axis represents the position x in feet, ranging from 0 to 18.
- The y-axis represents the reaction at B.
**(b) Shear Just to the Right of the Rocker at A:**
- The graph shows a piecewise linear plot starting at (0, 0.5) decreasing linearly to (6, 0), peaking at (12, 1), then decreasing to (18, 0).
- The x-axis is labeled in feet, similar to graph (a).
**(c) Moment at C:**
- The graph shows a triangle with a base from (0, -3) to (18, 0) with a peak at (12, 3).
- The x-axis is in feet, and the influence line reflects the moment at C across the beam’s length.
These influence lines help in understanding the structural response at specific points (B, right of A, and C) due to a moving load along the beam.
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