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.
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.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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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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