A plate 2x7 of A36 steel is used as a tension member as shown in Figure 4. The gusset plate is ½-inch-thick and is also made of A36 steel. The bolts are 1-inch-diameter, Group A bolts. No slip is permitted. Using a ratio of live load-to-dead load of 2.5, determine the maximum load, P, that can be applied. Investigate all possible failure modes. Threads are not excluded from the shear plane.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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**Determining the Maximum Load for a Tension Member**

**Problem Description:**

A plate with dimensions ½ × 7 inches made of A36 steel is used as a tension member, as demonstrated in Figure 4. The gusset plate is ⅝ inch thick and is also constructed from A36 steel. The bolts used are 1-inch in diameter, classified as Group A bolts. No slip is permitted in the connection. The task is to determine the maximum load \( P \) that can be applied, given a ratio of live load to dead load of 2.5. All possible failure modes need to be investigated, with the threads not excluded from the shear plane.

**Figure 4 Explanation:**

Figure 4 is a diagram detailing the dimensions and bolt arrangement of the tension member connection. Specific details are as follows:

- The main plate is labeled as \( \text{Plate} \, \frac{1}{2} \times 7 \).
- The gusset plate has a thickness of \( t = \frac{5}{8} \) inches.
- Bolt placements are shown with two horizontal rows of bolts.
- Dimensions are provided:
  - Horizontal edge distances are 2 inches from the center of the holes to the edges.
  - Vertical spacing between bolt rows is 1¾ inches.
  - The center-to-center horizontal distance between bolts is 3 inches.

**Tasks:**

a. Use Load and Resistance Factor Design (LRFD).
b. Use Allowable Stress Design (ASD).

Both scenarios require consideration of potential failure modes including shear, bearing, block shear, and tension rupture.

**Educational Focus:**

This problem offers a practical application within structural engineering, highlighting the importance of understanding material properties, bolt configurations, and design methodologies to ensure safety and efficiency in construction.
Transcribed Image Text:**Determining the Maximum Load for a Tension Member** **Problem Description:** A plate with dimensions ½ × 7 inches made of A36 steel is used as a tension member, as demonstrated in Figure 4. The gusset plate is ⅝ inch thick and is also constructed from A36 steel. The bolts used are 1-inch in diameter, classified as Group A bolts. No slip is permitted in the connection. The task is to determine the maximum load \( P \) that can be applied, given a ratio of live load to dead load of 2.5. All possible failure modes need to be investigated, with the threads not excluded from the shear plane. **Figure 4 Explanation:** Figure 4 is a diagram detailing the dimensions and bolt arrangement of the tension member connection. Specific details are as follows: - The main plate is labeled as \( \text{Plate} \, \frac{1}{2} \times 7 \). - The gusset plate has a thickness of \( t = \frac{5}{8} \) inches. - Bolt placements are shown with two horizontal rows of bolts. - Dimensions are provided: - Horizontal edge distances are 2 inches from the center of the holes to the edges. - Vertical spacing between bolt rows is 1¾ inches. - The center-to-center horizontal distance between bolts is 3 inches. **Tasks:** a. Use Load and Resistance Factor Design (LRFD). b. Use Allowable Stress Design (ASD). Both scenarios require consideration of potential failure modes including shear, bearing, block shear, and tension rupture. **Educational Focus:** This problem offers a practical application within structural engineering, highlighting the importance of understanding material properties, bolt configurations, and design methodologies to ensure safety and efficiency in construction.
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