**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.
**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.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
Please help me solve Part 4!
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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