KEVOS® MAKEOS · Fasteners
Bracket Bolts in Tension and Shear (Moment on a Bolted Flange)
What tension do the top bolts of this bracket see from the overhanging load, what shear does each bolt carry, and do they pass a combined tension–shear check?
Check of a bracket bolted to a column or wall face with the load acting at a distance from the face: the moment taken by bolt tension with the bracket pivoting about its bottom edge, tension in each bolt row in proportion to its distance from the pivot, the tension in the most loaded bolt, the shear shared equally by all the bolts (as the bolt and pin shear tool), stresses on the thread stress area and shank, and the elliptical tension–shear interaction.
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How this tool works
Inputs, units and where to find them
| Input | Unit | Typical source |
|---|---|---|
| Load (parallel to the face) | kN | Load on the bracket, acting parallel to the bolted face (for example a vertical load on a wall bracket). |
| Load distance from the bolted face | mm | Distance from the bolted face to the line of the load. |
| Bolt rows (height above the pivot edge) | ||
| Row 1 height | mm | Height of bolt row 1 above the edge the bracket would pivot about. |
| Row 1 bolts | Number of bolts in row 1 (0 if the row is not used). | |
| Row 2 height | mm | Height of bolt row 2 above the edge the bracket would pivot about. |
| Row 2 bolts | Number of bolts in row 2 (0 if the row is not used). | |
| Row 3 height | mm | Height of bolt row 3 above the edge the bracket would pivot about. |
| Row 3 bolts | Number of bolts in row 3 (0 if the row is not used). | |
| Row 4 height | mm | Height of bolt row 4 above the edge the bracket would pivot about. |
| Row 4 bolts | Number of bolts in row 4 (0 if the row is not used). | |
| Bolts | ||
| Bolt diameter | mm | Nominal bolt diameter. |
| Thread pitch | mm | Thread pitch. |
| Allowable tensile stress | MPa | Allowable tensile stress on the stress area (your design value). |
| Allowable shear stress | MPa | Allowable shear stress on the shank (your design value). |
Method and formulas
- Moment M = P × e, resisted by bolt tension about the pivot edge: tension in a row = M y ÷ Σ n y² per bolt.
- Shear per bolt V = P ÷ Σ n (as the bolt and pin shear tool).
- σ = T_max ÷ A_s with A_s = π ÷ 4 (d − 0.9382p)²; τ = V ÷ (π d² ÷ 4).
- Interaction (σ ÷ σ_allow)² + (τ ÷ τ_allow)² ≤ 1.
- Example: 60 kN at 200 mm puts 17.143 kN on each top bolt and 10 kN shear on every bolt; interaction 0.24297.
Limitations
- Pivot at the bottom edge with a rigid bracket; prying from a flexible flange raises bolt tension.
- Preload is not credited; check the joint does not separate for fatigue loads.
- Example values are illustrations. Replace them with values for your actual task.
Typical uses
- Check the bolts of a wall or column bracket
- Choose bolt size and row spacing for a cantilever load
- Check a hoist or pipe support bracket
Who it is for
- Structural engineers
- Design engineers
- Maintenance engineers
What you get
- Moment and tension in each row
- Shear per bolt
- Tension, shear and combined checks
Interpreting the result
- Raising the top row away from the pivot cuts the bolt tension most.
References
- Machinery’s Handbook, 29th edition (Industrial Press, 2012), printed pp. 1521–1535, 1720–1735. Topic reference; no source tables or recommended settings are reproduced.
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Open the Bracket Bolts in Tension and Shear (Moment on a Bolted Flange) calculator
