COMBINED TENSION AND SHEAR IN A SLIP-CRITICAL CONNECTION

The calculation of combined tension and shear in a slip-critical connection involves several steps. Here's a general outline of the process:

1. Factored Tensile Force: This is the axial force applied to the bolt, factored for load combinations as per the relevant design codes.

2. Factored Shear Force: This is the shear force applied to the bolt, factored for load combinations as per the relevant design codes.

3. Area of Bolt: This is calculated as π/4 times the square of the bolt diameter (d).

4. The Nominal Tensile Strength: This is calculated as the allowable tensile stress (Fnt) times the bolt area.

5. The Available Tensile Strength per Bolt: This is calculated as the nominal tensile strength divided by the number of bolts (nb).

6. Actual Tensile Force per Bolt: This is calculated as the factored tensile force divided by the number of bolts.

7. Available Slip Resistance Per Bolt: This is calculated using the formula provided in the AISC specification, which considers the mean slip coefficient (µ), the minimum bolt pretension (Tb), the number of shear planes (ns), and a factor for fillers (hf).

8. Slip-critical Combined Tension & Shear Coefficient: This is a factor that considers the combined effects of tension and shear on the slip resistance. The calculation of this factor is complex and depends on the specific details of the connection.

9. Available Slip Resistance Per Bolt Combined with Shear: This is calculated by applying the combined tension and shear coefficient to the available slip resistance per bolt.

Please note that these are general steps and the actual calculations may vary depending on the specific details of the connection and the requirements of the relevant design codes.

Calculation Reference
Welding
Weld Strength LRFD
AISC