### What is the design criteria of Extended End-Plate Connection? Explain in details step by step procedure of a design of Extended End-Plate Connection with required formula and an example of calculation.

The extended end-plate connection is a common type of steel connection used to connect beams to columns. It consists of an end plate that extends beyond the beam flange and is connected to the column using bolts. The design criteria for an extended end-plate connection involve determining the required plate thickness, bolt size, number of bolts, and connection capacity to safely transfer the applied loads. Here is a step-by-step procedure for designing an extended end-plate connection:

Step 1: Identify the Member Configuration Determine the specific configuration of the members involved in the connection, including the beam and the column. Gather information about their dimensions, material properties, and the connection requirements.

Step 3: Analyze the Structure Perform a structural analysis of the entire structure to determine the forces and moments acting on the connection. Consider the loading conditions, support conditions, and member stiffness.

Step 4: Determine Required Plate Thickness Calculate the required plate thickness based on the applied loads, the desired connection capacity, and design code requirements. The plate thickness should be selected to provide sufficient strength and stiffness to transfer the loads.

Step 5: Determine Bolt Size and Number of Bolts Based on the applied loads, calculate the required bolt size and determine the number of bolts needed to safely transfer the loads. Consider factors such as bolt material, grade, and allowable stresses.

Step 6: Check Plate Shear Strength Check the shear strength of the end plate to ensure it can safely resist the applied shear forces. Verify that the shear stress in the plate is within the allowable limits specified by design codes or standards.

Step 7: Check Plate Tensile Strength Check the tensile strength of the end plate to ensure it can safely resist the applied tensile forces. Verify that the tensile stress in the plate is within the allowable limits specified by design codes or standards.

Step 8: Check Bolt Shear Strength Check the shear strength of the bolts to ensure they can safely resist the applied shear forces. Verify that the shear stress in the bolts is within the allowable limits specified by design codes or standards.

Step 9: Check Bolt Bearing Strength Check the bearing strength between the bolt and the plate to ensure it can safely transfer the applied forces. Verify that the bearing stress is within the allowable limits specified by design codes or standards.

Step 10: Design Verification Perform a design verification to confirm that the extended end-plate connection meets the desired safety and performance requirements. This may involve performing structural analysis or calculations to confirm the adequacy of the plate thickness, bolt size, and their connections.

Example: Let’s consider the design of an extended end-plate connection between a steel beam and a column. The beam has a maximum moment of 100 kNm, and the desired connection capacity is 150 kNm. The material properties are as follows: beam and column yield strength = 250 MPa, bolt yield strength = 400 MPa.

Step 1: Identify the Member Configuration The member configuration consists of a steel beam and a column, both with known dimensions and material properties.

Step 2: Determine Applied Loads The beam has a maximum moment of 100 kNm.

Step 3: Analyze the Structure Perform a structural analysis of the entire structure to determine the forces and moments acting on the connection.

Step 4: Determine Required Plate Thickness Calculate the required plate thickness based on the applied loads, the desired connection capacity, and design code requirements.

Step 5: Determine Bolt Size and Number of Bolts Based on the applied loads, calculate the required bolt size and determine the number of bolts needed to safely transfer the loads.

Step 6: Check Plate Shear Strength Check the shear strength of the end plate to ensure it can safely resist the applied shear forces.

Step 7: Check Plate Tensile Strength Check the tensile strength of the end plate to ensure it can safely resist the applied tensile forces.

Step 8: Check Bolt Shear Strength Check the shear strength of the bolts to ensure they can safely resist the applied shear forces.

Step 9: Check Bolt Bearing Strength Check the bearing strength between the bolt and the plate to ensure it can safely transfer the applied forces.

Step 10: Design Verification Perform a design verification to confirm that the extended end-plate connection meets the desired safety and performance requirements.

The detailed calculations and formulas for each step can vary depending on the specific design code or standard being used. It is important to consult the relevant design code or consult with a qualified structural engineer to ensure accurate and compliant connection design.