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A double-angle shape, 2L8x8x%, is connected to a %-inch gusset plate as shown in Figure 3. Determine the maximum total service load that can be applied if the ratio of dead load o live load is 0.5. The bolts are 1-inch-diameter, Group B bearing type bolts. A572 Grade 50 steel is used for the angle, and A36 steel is used for the gusset plate. Threads are not excluded from the shear plane. Assume that block shear failure is not going to happen. T 3" 3" 3" OOOO

A double-angle shape, 2L8x8x%, is connected to a %-inch gusset plate as shown in Figure 3. Determine the maximum total service load that can be applied if the ratio of dead load o live load is 0.5. The bolts are 1-inch-diameter, Group B bearing type bolts. A572 Grade 50 steel is used for the angle, and A36 steel is used for the gusset plate. Threads are not excluded from the shear plane. Assume that block shear failure is not going to happen. T 3" 3" 3" OOOO

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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### Determination of Service Load on a Double-Angle Connection A double-angle shape, denoted as 2L8×8×5/8, is connected to a ⅜-inch gusset plate as illustrated in Figure 3. The objective is to determine the maximum total service load that can be supported given a dead load to live load ratio of 0.5. Specifications: - Bolts: 1-inch diameter, Group B bearing type. - Angle material: A572 Grade 50 steel. - Gusset plate material: A36 steel. - Threads: Not excluded from the shear plane. - Assumption: Block shear failure will not occur. **Figure 3 Explanation**: The left-hand diagram provides a detailed layout of the bolted connection. - The horizontal dimension shows the placement of bolts at intervals: the first bolt is located 2" from the left end, followed by successive bolts at 3" intervals. - The vertical dimension includes the gauge and spacing considerations, with the plate thickness labeled as `t = ⅝"`. The right-hand diagram offers an end view of the connection, clearly illustrating the double-angle nature and the gusset plate. **Figure 3 Annotations**: - The horizontal double-angle connection features six bolts arranged in two rows. - Each row is parallel, with clear dimensional annotations to explain bolt spacing and edge distances. - An indicator shows a plate thickness of ⅝". **Tasks**: a. Calculate the load using LRFD (Load and Resistance Factor Design). b. Calculate the load using ASD (Allowable Stress Design). ### Calculation Approach For LRFD: 1. Calculate the nominal strength of the connection. 2. Apply the appropriate resistance factors. For ASD: 1. Determine the allowable stress limits. 2. Apply appropriate safety factors. **Note**: Detailed calculation steps would follow in the subsequent content to demonstrate how to arrive at the maximum service load for each design methodology. This example highlights how to approach the analysis and selection of connection strength based on given dimensions, material specifications, and design assumptions.
Transcribed Image Text:### Determination of Service Load on a Double-Angle Connection A double-angle shape, denoted as 2L8×8×5/8, is connected to a ⅜-inch gusset plate as illustrated in Figure 3. The objective is to determine the maximum total service load that can be supported given a dead load to live load ratio of 0.5. Specifications: - Bolts: 1-inch diameter, Group B bearing type. - Angle material: A572 Grade 50 steel. - Gusset plate material: A36 steel. - Threads: Not excluded from the shear plane. - Assumption: Block shear failure will not occur. **Figure 3 Explanation**: The left-hand diagram provides a detailed layout of the bolted connection. - The horizontal dimension shows the placement of bolts at intervals: the first bolt is located 2" from the left end, followed by successive bolts at 3" intervals. - The vertical dimension includes the gauge and spacing considerations, with the plate thickness labeled as `t = ⅝"`. The right-hand diagram offers an end view of the connection, clearly illustrating the double-angle nature and the gusset plate. **Figure 3 Annotations**: - The horizontal double-angle connection features six bolts arranged in two rows. - Each row is parallel, with clear dimensional annotations to explain bolt spacing and edge distances. - An indicator shows a plate thickness of ⅝". **Tasks**: a. Calculate the load using LRFD (Load and Resistance Factor Design). b. Calculate the load using ASD (Allowable Stress Design). ### Calculation Approach For LRFD: 1. Calculate the nominal strength of the connection. 2. Apply the appropriate resistance factors. For ASD: 1. Determine the allowable stress limits. 2. Apply appropriate safety factors. **Note**: Detailed calculation steps would follow in the subsequent content to demonstrate how to arrive at the maximum service load for each design methodology. This example highlights how to approach the analysis and selection of connection strength based on given dimensions, material specifications, and design assumptions.
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