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

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