**Truss Diagonal Member Analysis** --- **Truss Diagonal Member Configuration:** - The truss diagonal member consists of a pair of angles labeled as L5×3×½. These angles are subjected to tension. - The bolts intended for use are sized at ⅞". - The steel used for the member is A36. **Bolt Design Specifications:** - The bolt design shear strength for one angle is specified as 24.3 kips per bolt. **Diagram Explanation:** The diagram illustrates an angle connection with the following dimensions: - Horizontal lengths of 3 inches between bolt placements. - A vertical distance of 2 inches from the top edge to the bolt line. - The total vertical depth of the angle is 3 inches, with a thickness of ½ inch. **Key Design Considerations:** 1. **Total Bolt Design Strength:** - Calculate the total capacity of the bolts in shear as per the provided specifications. 2. **Yielding of the Member:** - Analyze the member's material for yielding under tensile load. 3. **Rupture of the Member:** - Assess the potential for material rupture when subjected to maximum load conditions. 4. **Block Shear for the Member:** - Evaluate the member's capacity to withstand block shear failure, considering both tensile and shear loads. 5. **Design Strength of One Angle:** - Determine the overall design strength capacity for one angle, incorporating all relevant factors and guidelines. This structured analysis ensures safe and effective truss design for structural applications.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Please help me solve Part 4!

**Truss Diagonal Member Analysis**

---

**Truss Diagonal Member Configuration:**

- The truss diagonal member consists of a pair of angles labeled as L5×3×½. These angles are subjected to tension.
- The bolts intended for use are sized at ⅞".
- The steel used for the member is A36.

**Bolt Design Specifications:**

- The bolt design shear strength for one angle is specified as 24.3 kips per bolt.

**Diagram Explanation:**

The diagram illustrates an angle connection with the following dimensions:

- Horizontal lengths of 3 inches between bolt placements.
- A vertical distance of 2 inches from the top edge to the bolt line.
- The total vertical depth of the angle is 3 inches, with a thickness of ½ inch.

**Key Design Considerations:**

1. **Total Bolt Design Strength:**
   - Calculate the total capacity of the bolts in shear as per the provided specifications.
   
2. **Yielding of the Member:**
   - Analyze the member's material for yielding under tensile load.

3. **Rupture of the Member:**
   - Assess the potential for material rupture when subjected to maximum load conditions.

4. **Block Shear for the Member:**
   - Evaluate the member's capacity to withstand block shear failure, considering both tensile and shear loads.

5. **Design Strength of One Angle:**
   - Determine the overall design strength capacity for one angle, incorporating all relevant factors and guidelines.

This structured analysis ensures safe and effective truss design for structural applications.
Transcribed Image Text:**Truss Diagonal Member Analysis** --- **Truss Diagonal Member Configuration:** - The truss diagonal member consists of a pair of angles labeled as L5×3×½. These angles are subjected to tension. - The bolts intended for use are sized at ⅞". - The steel used for the member is A36. **Bolt Design Specifications:** - The bolt design shear strength for one angle is specified as 24.3 kips per bolt. **Diagram Explanation:** The diagram illustrates an angle connection with the following dimensions: - Horizontal lengths of 3 inches between bolt placements. - A vertical distance of 2 inches from the top edge to the bolt line. - The total vertical depth of the angle is 3 inches, with a thickness of ½ inch. **Key Design Considerations:** 1. **Total Bolt Design Strength:** - Calculate the total capacity of the bolts in shear as per the provided specifications. 2. **Yielding of the Member:** - Analyze the member's material for yielding under tensile load. 3. **Rupture of the Member:** - Assess the potential for material rupture when subjected to maximum load conditions. 4. **Block Shear for the Member:** - Evaluate the member's capacity to withstand block shear failure, considering both tensile and shear loads. 5. **Design Strength of One Angle:** - Determine the overall design strength capacity for one angle, incorporating all relevant factors and guidelines. This structured analysis ensures safe and effective truss design for structural applications.
Expert Solution
Step 1

Given:

Section: 2 L 5 x 3 x1/2

Bolt size: 7/8"

A36 steel

Design shear strength of one bolt = 24.3 kips

Number of bolts = 4

To find:

1. Total bolt design strength

2. Yielding of the member

3. Rupture of the member

4. Block shear for the member

5. The design strength of one angle

 

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