What is the design criteria of Pinned Base Connection? Explain in details step by step procedure of a design of Pinned Base Connection with required formula and an example of calculation.

A pinned base connection is a type of structural connection where a column or vertical member is connected to its foundation or base using a pin or hinge joint. This allows the column to rotate and deflect freely, while providing stability and resisting vertical loads. The design criteria for a pinned base connection include determining the size and strength of the base plate, the size and number of anchor bolts, and ensuring that the connection can safely transfer the applied loads and moments. Here is a step-by-step procedure for designing a pinned base connection:

Step 1: Identify the Column and Base Configuration Determine the specific configuration of the column and base, including the dimensions and material properties of the column and the type of foundation or base.

Step 2: Determine Applied Loads and Moments Identify the loads and moments that will be applied to the column, including dead loads, live loads, wind loads, and seismic loads. Determine the magnitude and distribution of these loads.

Step 3: Determine Column Reactions Analyze the applied loads and moments to determine the reactions at the base of the column. Apply the principles of static equilibrium to calculate the reactions. Consider both vertical and horizontal reactions.

Step 4: Select Base Plate Material and Thickness Choose a suitable material for the base plate that is compatible with the foundation and column material. Determine the thickness of the base plate based on the applied loads and the allowable stresses for the material.

Step 5: Determine Anchor Bolt Size and Number Calculate the required size and number of anchor bolts to securely attach the base plate to the foundation. Consider the strength and spacing requirements for the anchor bolts.

Step 6: Check Base Plate Strength Check the strength of the base plate to ensure it can safely transfer the applied loads and moments. Verify that the stresses in the base plate are within the allowable limits for the material.

Step 7: Check Base Plate Stability Check the stability of the base plate to ensure it can resist overturning and sliding under the applied loads. Consider the dimensions and weight of the base plate, as well as the friction between the base plate and the foundation.

Step 8: Design Verification Perform a design verification to ensure that the pinned base connection meets the desired safety and performance requirements. This may involve performing structural analysis or calculations to confirm the adequacy of the base plate and anchor bolts.

Example:

Let’s consider a pinned base connection for a steel column with a square base. The column has a vertical load of 100 kN and a moment of 50 kNm applied at its top. The base plate will be made of steel with a thickness of 20 mm, and four anchor bolts will be used.

Step 1: Identify the Column and Base Configuration The column is a steel member with a square base, and the base plate will be attached to a concrete foundation.

Step 2: Determine Applied Loads and Moments The column has a vertical load of 100 kN and a moment of 50 kNm applied at its top.

Step 3: Determine Column Reactions The reactions at the base of the column can be determined by applying the principles of static equilibrium. Calculate the vertical and horizontal reactions at the base.

Step 4: Select Base Plate Material and Thickness Choose a suitable steel material for the base plate that is compatible with the column and foundation. Select a thickness of 20 mm for the base plate.

Step 5: Determine Anchor Bolt Size and Number Calculate the required size and number of anchor bolts based on the applied loads and the strength requirements. Consider the spacing and edge distance requirements.

Step 6: Check Base Plate Strength Check the strength of the base plate to ensure it can safely transfer the applied loads and moments. Verify that the stresses in the base plate are within the allowable limits for the material.

Step 7: Check Base Plate Stability Check the stability of the base plate to ensure it can resist overturning and sliding. Consider the dimensions and weight of the base plate and the friction between the base plate and the foundation.

Step 8: Design Verification Perform a design verification to ensure that the pinned base connection meets the desired safety and performance requirements. This may involve performing structural analysis or calculations to confirm the adequacy of the base plate and anchor bolts.

It is important to note that the specific design criteria, formulas, and calculations for pinned base connections may vary depending on the specific application, design codes, and standards being used. It is recommended to consult the relevant design code or consult with a qualified structural engineer to ensure accurate and compliant joint design.