20' B hinge C 8 R₁, Re M. and V 10' D 10' E Draw an influence line for reaction at A and determine the value of the reaction at Alfa 10 kpload is placed halfway between A and B Draw an influence line for reaction at C and determine the value of the reaction at Cf the following group of loads is placed on the beam A 10 kip load halfway between A and B A5 lip load at B A2D Draw an influence for moment at D and determine the value of the moment at for the worst case placement of a uniform load of 1.2 kips por foot that can be placed as needed over various segments of the beam
20' B hinge C 8 R₁, Re M. and V 10' D 10' E Draw an influence line for reaction at A and determine the value of the reaction at Alfa 10 kpload is placed halfway between A and B Draw an influence line for reaction at C and determine the value of the reaction at Cf the following group of loads is placed on the beam A 10 kip load halfway between A and B A5 lip load at B A2D Draw an influence for moment at D and determine the value of the moment at for the worst case placement of a uniform load of 1.2 kips por foot that can be placed as needed over various segments of the beam
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:### Engineering Mechanics: Beam Analysis
**Beam Diagram Description:**
The diagram presents a structural beam ABCDE with various supports and loads:
- **A:** Pinned support
- **B:** Point load location
- **C:** Hinged connection
- **D:** Location of moment
- **E:** Roller support
**Beam Segments and Dimensions:**
- Segment AB: 20 feet
- Segment BC: 8 feet
- Segment CD: 10 feet
- Segment DE: 10 feet
**Reactions and Moments:**
- Reactions at supports: \(R_A\), \(R_C\), \(M_D\), and \(V_D\).
**Tasks:**
1. **Determine Reaction at A:**
- Analyze the effect of a 40 lb load placed midway between points A and B.
2. **Determine Reaction at C:**
- Calculate for the following load placements on different segments of the beam:
- A 100 lb load halfway between A and B.
- A 75 lb load at B.
- A 50 lb load at D.
3. **Determine Moment at D:**
- Analyze for the scenario where a uniform load of 2 kips per foot is placed as needed over various segments of the beam.
### Graphical and Load Analysis:
The diagram also features:
- A hinge at point B, allowing rotational movement.
- Various reactions and loads applied, with specific intervals marked along the beam length to help in static and moment calculations for structural analysis.
This setup provides a comprehensive exercise in determining reactions and moments in a statically indeterminate beam, ideal for engineering mechanics and structural analysis studies.
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Step 1: Introduce the problem statement
VIEWStep 2: ILD when load is at A, C and E
VIEWStep 3: ILD when load is at between A and B
VIEWStep 4: ILD when load is at B
VIEWStep 5: ILD when load is at D
VIEWStep 6: Plot ILD for Reaction at A and C and moment at D
VIEWStep 7: Determine reaction at A when load of 10 kips acts between A and B
VIEWStep 8: Determine reaction at C for given loading combination
VIEWStep 9: Determine moment at D for worst loading combination
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