2) Consider pattern loading (skip loading) for live load (shown black on the sketch) for the simply supported beam with overhang. Use the factored loading shown below. DI. Vmax 20' 8' M+ max WD = 1.2 x 2 = 2.4 k/ ft WL = 1.6 x 3 = 4.8 k / ft M- max a. Draw bending moment diagrams for three loading conditions. i) Live load over entire span ii) Live load on the simply supported beam only iii) Live load on the overhang only b. Using the bending moment diagrams for three skip loading you have calculated, show maximum positive moment and negative moment with corresponding location.
2) Consider pattern loading (skip loading) for live load (shown black on the sketch) for the simply supported beam with overhang. Use the factored loading shown below. DI. Vmax 20' 8' M+ max WD = 1.2 x 2 = 2.4 k/ ft WL = 1.6 x 3 = 4.8 k / ft M- max a. Draw bending moment diagrams for three loading conditions. i) Live load over entire span ii) Live load on the simply supported beam only iii) Live load on the overhang only b. Using the bending moment diagrams for three skip loading you have calculated, show maximum positive moment and negative moment with corresponding location.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
I was able to calculate part a.i.
I am lost with the other parts. How can we tackle this problem?
Transcribed Image Text:### Problem 2: Pattern Loading (Skip Loading) for Live Load on a Simply Supported Beam with Overhang
#### Beam Description
- **Span**: 20 feet
- **Overhang**: 8 feet
#### Load Calculations
- **Dead Load (WD)**:
- Calculation: \(1.2 \times 2 = 2.4 \, \text{kips/ft}\)
- **Live Load (WL)**:
- Calculation: \(1.6 \times 3 = 4.8 \, \text{kips/ft}\)
#### Task Requirements
a. **Draw Bending Moment Diagrams** for three loading conditions:
- **Condition i**: Live load over the entire span.
- **Condition ii**: Live load on the simply supported beam only.
- **Condition iii**: Live load on the overhang only.
b. **Using the Bending Moment Diagrams** for the three skip loading conditions, identify:
- Maximum positive moment (\(M^+\)) with corresponding location.
- Maximum negative moment (\(M^-\)) with corresponding location.
#### Diagram Explanation
- **Top Diagram**: Illustrates a live load across the entire span, with \(V_{\text{max}}\) indicating the location of the maximum shear force.
- **Middle Diagram**: Represents the maximum positive moment (\(M^+_{\text{max}}\)) when the live load is only on the main span.
- **Bottom Diagram**: Shows the maximum negative moment (\(M^-_{\text{max}}\)) resulting from the live load only on the overhang.
This setup and analysis will support understanding of how skip loading affects beams with overhangs, impacting the design and structural assessments for safe engineering practices.
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