Reaction force fixing frame selection materials
Anchor bolt allowable shearing force/extraction load
Shearing strength
| S= | A×fs | A: Bolt axial cross-section area (cm2) |
| A= | π×d2 | d: Bolt axial diameter (cm). In the case of M12, d=1.2 |
| 4 | fs: Bolt momentary allowable shearing stress intensity fs=10.1kN/cm2 |
| Bolt name | Axial cross-section area A(cm2) | Allowable shearing force S(kN) |
|---|---|---|
| M10 | 0.785 | 7.93 |
| M12 | 1.13 | 11.42 |
| M16 | 2.01 | 20.3 |
| M20 | 3.141 | 31.73 |
Extraction strength
Allowable extraction load of post-construction metallic expansion anchor bolt
(external thread type)
Typical floor slab upper surface
Momentary allowable extraction load(kN)
| Bolt diameter d name |
Concrete thickness(mm) | Embedded length L (mm) |
|||
|---|---|---|---|---|---|
| 120 | 150 | 180 | 220 | ||
| M8 | 3.00 | 3.00 | 3.00 | 3.00 | 40 |
| M10 | 3.80 | 3.80 | 3.80 | 3.80 | 45 |
| M12 | 6.70 | 6.70 | 6.70 | 6.70 | 60 |
| M16 | 9.20 | 9.20 | 9.20 | 9.20 | 70 |
| M20 | 12.0 | 12.0 | 12.0 | 12.0 | 90 |
| M24 | 12.0 | 12.0 | 12.0 | 12.0 | 100 |
| Bolt embedded length L limit(mm) |
100 or less | 120 or less | 160 or less | 180 or less | |
- Note
- 1. The above diagram shows the momentary allowable extraction load when anchor bolts of the lengths in the above table are embedded.
- 2.Concrete design standard strength Fe is given as 1.8kN/cm4 (18N/mm2).
- 3.When the various dimensions differ from the above diagram or the concrete design standard strength varies, the calculation shall be that of a solid foundation. However, anchor bolts installed on a floor slab upper surface shall not be able to bear an extraction load of more than 12.0kN each.
- 4. It is preferable to not use bolts with an embedded length less than in the column on the right.
- 5.Be sure to allow a buffer of approximately 10% in selection when Type 1 and Type 2 Lightweight Concrete are used.
Typical ceiling slab lower surface and concrete wall surface
Prolonged allowable extraction load(kN)
| Bolt diameter ｄname |
Concrete thickness(mm) | Embedded length L (mm) |
|||
|---|---|---|---|---|---|
| 120 | 150 | 180 | 220 | ||
| M8 | 2.00 | 2.00 | 2.00 | 2.00 | 40 |
| M10 | 2.50 | 2.50 | 2.50 | 2.50 | 45 |
| M12 | 4.50 | 4.50 | 4.50 | 4.50 | 60 |
| M16 | 6.10 | 6.10 | 6.10 | 6.10 | 70 |
| M20 | 8.0 | 8.0 | 8.0 | 8.0 | 90 |
| M24 | 8.0 | 8.0 | 8.0 | 8.0 | 100 |
| Bolt embedded length L limit(mm) |
100 or less | 120 or less | 160 or less | 180 or less | |
- Note
- 1.The above diagram shows the prolonged allowable extraction load when anchor bolts of the lengths in the above table are embedded.
- 2.Concrete design standard strength Fe is given as 1.8kN/cm2 (18N/mm2).
- 3.When the various dimensions differ from the above diagram or the concrete design standard strength varies, the calculation shall be that of the solid foundation above, and the value obtained divided by 1.5 shall be the allowable extraction load. However, anchor bolts installed on ceiling slab lower surfaces and concrete wall surfaces shall not be able to bear an extraction load of more than 8.0kN each.
- 4.It is preferable to not use bolts with an embedded length less than in the column on the right.
- 5.It is also necessary to consider the momentary extraction load due to earthquakes for heavy objects with supports on typical ceiling slab lower surfaces and concrete wall surfaces. With regard to this momentary extraction load, the momentary allowable extraction load in item b) must also be considered.
- 6.Be sure to allow a buffer of approximately 10% in selection when Type 1 and Type 2 Lightweight Concrete are used.
Refer to: Building Installed Equipment Earthquake‐Resistant Design and Installation Guidelines (FY 2005 edition), editorial supervision by The Building Center of Japan
/National Institute for Land and Infrastructure Management, Ministry of Land, Infrastructure, Transport and Tourism/Building Research Institute
Example of selection table for anchor bolts and materials used in a fixing frame (H=750mm or less) (1)
Floor fixing frame
| Seismic isolation joint reaction force(P) |
Dimensions(mm) | Materials used | Floor fixing anchor bolts |
Ceiling fixing anchor bolts |
|||
|---|---|---|---|---|---|---|---|
| H | L | Equal angle steel | Size | Number of pieces |
Size | Number of pieces |
|
| 200 (kgf) |
250 | 300 | L-40×40×5 | M12 | 4 | M12 | 4 |
| 500 | L-40×40×5 | M12 | 4 | M12 | 4 | ||
| 1000 | L-40×40×5 | M12 | 4 | M12 | 4 | ||
| 500 | 300 | L-40×40×5 | M12 | 4 | M12 | 4 | |
| 500 | L-40×40×5 | M12 | 4 | M12 | 4 | ||
| 1000 | L-40×40×5 | M12 | 4 | M12 | 4 | ||
| 750 | 300 | L-40×40×5 | M12 | 4 | M12 | 4 | |
| 500 | L-40×40×5 | M12 | 4 | M12 | 4 | ||
| 1000 | L-40×40×5 | M12 | 4 | M12 | 4 | ||
| 500 (kgf) |
250 | 300 | L-40×40×5 | M12 | 4 | M16 | 4 |
| 500 | L-40×40×5 | M12 | 4 | M12 | 4 | ||
| 1000 | L-50×50×6 | M12 | 4 | M12 | 4 | ||
| 500 | 300 | L-40×40×5 | M16 | 4 | M12 | 8 | |
| 500 | L-40×40×5 | M12 | 4 | M12 | 4 | ||
| 1000 | L-50×50×6 | M12 | 4 | M12 | 4 | ||
| 750 | 300 | L-50×50×4 | M20 | 4 | M16 | 8 | |
| 500 | L-50×50×4 | M12 | 4 | M16 | 4 | ||
| 1000 | L-50×50×6 | M12 | 4 | M12 | 4 | ||
| 1000 (kgf) |
250 | 300 | L-40×40×5 | M20 | 4 | M16 | 8 |
| 500 | L-50×50×6 | M12 | 4 | M16 | 4 | ||
| 1000 | L-65×65×6 | M12 | 4 | M12 | 4 | ||
| 500 | 300 | L-50×50×6 | M16 | 8 | ※ | ※ | |
| 500 | L-50×50×6 | M16 | 4 | M12 | 8 | ||
| 1000 | L-65×65×6 | M12 | 4 | M12 | 4 | ||
| 750 | 300 | L-65×65×6 | M20 | 8 | ※ | ※ | |
| 500 | L-65×65×6 | M20 | 4 | M16 | 8 | ||
| 1000 | L-65×65×6 | M12 | 4 | M16 | 4 | ||
| 1500 (kgf) |
250 | 300 | L-50×50×4 | M16 | 8 | M20 | 8 |
| 500 | L-65×65×6 | M16 | 4 | M20 | 4 | ||
| 1000 | L-75×75×6 | M12 | 4 | M12 | 4 | ||
| 500 | 500 | L-65×65×6 | M12 | 8 | M16 | 8 | |
| 1000 | L-75×75×6 | M12 | 4 | M16 | 4 | ||
| 750 | 500 | L-65×65×6 | M16 | 8 | ※ | ※ | |
| 1000 | L-75×75×6 | M16 | 4 | M20 | 4 | ||
As there are no anchor bolts compatible with the items marked * in the table, it is necessary to increase the width (L dimension) of the frame.
Ceiling fixing frame
| Seismic isolation joint reaction force(P) |
Dimensions(mm) | Materials used | Floor fixing anchor bolts | Ceiling fixing anchor bolts | |||
|---|---|---|---|---|---|---|---|
| H | L | Equal angle steel |
Size | Number of pieces |
Size | Number of pieces |
|
| 2000 (kgf) |
250 | 300 | L-50×50×6 | M20 | 8 | ※ | ※ |
| 500 | L-65×65×6 | M20 | 4 | M16 | 8 | ||
| 1000 | L-75×75×9 | M12 | 4 | M12 | 4 | ||
| 500 | 500 | L-65×65×6 | M16 | 8 | ※ | ※ | |
| 1000 | L-75×75×9 | M16 | 4 | M20 | 4 | ||
| 750 | 500 | L-65×65×6 | M20 | 8 | ※ | ※ | |
| 1000 | L-75×75×9 | M20 | 4 | M16 | 8 | ||
| 2500 (kgf) |
250 | 500 | L-75×75×6 | M12 | 8 | M20 | 8 |
| 1000 | L-90×90×7 | M12 | 4 | M16 | 4 | ||
| 500 | 500 | L-75×75×6 | M20 | 8 | ※ | ※ | |
| 1000 | L-90×90×7 | M16 | 4 | M16 | 8 | ||
| 750 | 1000 | L-90×90×7 | M12 | 8 | M20 | 8 | |
| 3000 (kgf) |
250 | 500 | L-75×75×6 | M16 | 8 | M20 | 8 |
| 1000 | L-100×100×7 | M12 | 4 | M20 | 4 | ||
| 500 | 1000 | L-100×100×7 | M20 | 4 | M20 | 8 | |
| 750 | 1000 | L-100×100×7 | M16 | 8 | M20 | 8 | |
As there are no anchor bolts compatible with the items marked * in the table, it is necessary to increase the width (L dimension) of the frame.
Materials used in a fixing frame (H=1,000mm- no more than 2,000mm) Example of selection table for anchor bolts (2)
Floor fixing frame
| Seismic isolation joint reaction force(P) |
Dimensions(mm) | Column and beam components | Brace components | Anchor bolts | ||
|---|---|---|---|---|---|---|
| H | L | Equal angle steel | Equal angle steel | Size | Number of pieces | |
| 200 (kgf) |
1000 | 500 | L-40×40×5 | L-40×40×3 | M12 | 4 |
| 1000 | L-40×40×5 | L-40×40×3 | M12 | 4 | ||
| 1250 | 500 | L-40×40×5 | L-40×40×3 | M12 | 4 | |
| 1000 | L-40×40×5 | L-40×40×3 | M12 | 4 | ||
| 1500 | 500 | L-40×40×5 | L-40×40×3 | M12 | 4 | |
| 1000 | L-40×40×5 | L-40×40×3 | M12 | 4 | ||
| 2000 | 500 | L-40×40×5 | L-40×40×3 | M12 | 4 | |
| 1000 | L-40×40×5 | L-40×40×3 | M12 | 4 | ||
| 500 (kgf) |
1000 | 500 | L-40×40×5 | L-40×40×3 | M16 | 4 |
| 1000 | L-50×50×6 | L-40×40×3 | M12 | 4 | ||
| 1250 | 500 | L-40×40×5 | L-40×40×3 | M16 | 4 | |
| 1000 | L-50×50×6 | L-40×40×3 | M12 | 4 | ||
| 1500 | 500 | L-40×40×5 | L-40×40×3 | M20 | 4 | |
| 1000 | L-50×50×6 | L-40×40×3 | M12 | 4 | ||
| 2000 | 500 | L-50×50×6 | L-40×40×3 | M20 | 4 | |
| 1000 | L-50×50×6 | L-40×40×3 | M12 | 4 | ||
| 1000 (kgf) |
1000 | 500 | L-50×50×6 | L-40×40×3 | M16 | 8 |
| 1000 | L-65×65×6 | L-40×40×3 | M12 | 4 | ||
| 1250 | 500 | L-50×50×6 | L-40×40×3 | M16 | 8 | |
| 1000 | L-65×65×6 | L-40×40×3 | M16 | 4 | ||
| 1500 | 500 | L-50×50×6 | L-40×40×3 | M20 | 8 | |
| 1000 | L-65×65×6 | L-40×40×3 | M16 | 4 | ||
| 2000 | 500 | L-65×65×6 | L-40×40×3 | M16 | 16 | |
| 1000 | L-65×65×6 | L-40×40×3 | M20 | 4 | ||
| 1500 (kgf) |
1000 | 500 | L-65×65×6 | L-40×40×3 | M20 | 8 |
| 1000 | L-75×75×6 | L-40×40×3 | M20 | 4 | ||
| 1250 | 500 | L-65×65×6 | L-40×40×3 | M12 | 16 | |
| 1000 | L-75×75×6 | L-40×40×3 | M20 | 4 | ||
| 1500 | 500 | L-65×65×6 | L-40×40×3 | M16 | 16 | |
| 1000 | L-75×75×6 | L-40×40×3 | M16 | 8 | ||
| 2000 | 500 | L-65×65×6 | L-40×40×3 | M20 | 16 | |
| 1000 | L-75×75×6 | L-40×40×3 | M16 | 8 | ||
| 2000(kgf) | 1000 | 500 | L-75×75×6 | L-40×40×3 | M16 | 16 |
| 1000 | L-75×75×9 | L-40×40×3 | M12 | 8 | ||
| 1250 | 500 | L-75×75×6 | L-40×40×3 | M16 | 16 | |
| 1000 | L-75×75×9 | L-40×40×3 | M16 | 8 | ||
| 1500 | 500 | L-75×75×6 | L-40×40×3 | M20 | 16 | |
| 1000 | L-75×75×9 | L-40×40×3 | M16 | 8 | ||
| 2000 | 500 | L-75×75×6 | L-40×40×3 | ※ | ※ | |
| 1000 | L-75×75×9 | L-40×40×3 | M20 | 8 | ||
| 2500 (kgf) |
1000 | 500 | L-75×75×9 | L-40×40×3 | M16 | 16 |
| 1000 | L-90×90×7 | L-40×40×3 | M16 | 8 | ||
| 1250 | 500 | L-75×75×9 | L-40×40×3 | M20 | 16 | |
| 1000 | L-90×90×7 | L-40×40×3 | M20 | 8 | ||
| 1500 | 500 | L-75×75×9 | L-40×40×3 | ※ | ※ | |
| 1000 | L-90×90×7 | L-40×40×3 | M20 | 8 | ||
| 2000 | 500 | L-75×75×9 | L-40×40×3 | ※ | ※ | |
| 1000 | L-90×90×7 | L-40×40×3 | M16 | 16 | ||
| 3000 (kgf) |
1000 | 500 | L-90×90×7 | L-40×40×3 | M20 | 16 |
| 1000 | L-100×100×7 | L-40×40×3 | M20 | 8 | ||
| 1250 | 500 | L-90×90×7 | L-40×40×3 | ※ | ※ | |
| 1000 | L-100×100×7 | L-40×40×3 | M20 | 8 | ||
| 1500 | 500 | L-90×90×7 | L-40×40×3 | ※ | ※ | |
| 1000 | L-100×100×7 | L-40×40×3 | M16 | 16 | ||
| 2000 | 500 | L-90×90×7 | L-40×40×3 | ※ | ※ | |
| 1000 | L-100×100×7 | L-40×40×3 | M16 | 16 | ||
As there are no anchor bolts compatible with the items marked * in the table, it is necessary to increase the width (L dimension) of the frame.
Materials used in a fixing frame (H=1,000mm- no more than 2,000mm) Example of selection table for anchor bolts（3）
Ceiling fixing frame
| Seismic isolation joint reaction force(P) |
Dimensions(mm) | Column and beam components | Brace components | Anchor bolts | ||
|---|---|---|---|---|---|---|
| H | L | Equal angle steel | Equal angle steel | Size | Number of pieces | |
| 200 (kgf) |
1000 | 500 | L-40×40×5 | L-40×40×3 | M12 | 4 |
| 1000 | L-40×40×5 | L-40×40×3 | M12 | 4 | ||
| 1250 | 500 | L-40×40×5 | L-40×40×3 | M12 | 4 | |
| 1000 | L-40×40×5 | L-40×40×3 | M12 | 4 | ||
| 1500 | 500 | L-40×40×5 | L-40×40×3 | M12 | 4 | |
| 1000 | L-40×40×5 | L-40×40×3 | M12 | 4 | ||
| 2000 | 500 | L-40×40×5 | L-40×40×3 | M16 | 4 | |
| 1000 | L-40×40×5 | L-40×40×3 | M12 | 4 | ||
| 500 (kgf) |
1000 | 500 | L-40×40×5 | L-40×40×3 | M20 | 4 |
| 1000 | L-50×50×6 | L-40×40×3 | M12 | 4 | ||
| 1250 | 500 | L-40×40×5 | L-40×40×3 | M12 | 8 | |
| 1000 | L-50×50×6 | L-40×40×3 | M12 | 4 | ||
| 1500 | 500 | L-40×40×5 | L-40×40×3 | M16 | 8 | |
| 1000 | L-50×50×6 | L-40×40×3 | M16 | 4 | ||
| 2000 | 500 | L-50×50×6 | L-40×40×3 | M20 | 8 | |
| 1000 | L-50×50×6 | L-40×40×3 | M16 | 4 | ||
| 1000 (kgf) |
1000 | 500 | L-50×50×6 | L-40×40×3 | M20 | 8 |
| 1000 | L-65×65×6 | L-40×40×3 | M20 | 4 | ||
| 1250 | 500 | L-50×50×6 | L-40×40×3 | M12 | 16 | |
| 1000 | L-65×65×6 | L-40×40×3 | M20 | 4 | ||
| 1500 | 500 | L-50×50×6 | L-40×40×3 | M16 | 16 | |
| 1000 | L-65×65×6 | L-40×40×3 | M16 | 8 | ||
| 2000 | 500 | L-65×65×6 | L-40×40×3 | M20 | 16 | |
| 1000 | L-65×65×6 | L-40×40×3 | M16 | 8 | ||
| 1500 (kgf) |
1000 | 500 | L-65×65×6 | L-40×40×3 | M16 | 16 |
| 1000 | L-75×75×6 | L-40×40×3 | M16 | 8 | ||
| 1250 | 500 | L-65×65×6 | L-40×40×3 | M20 | 16 | |
| 1000 | L-75×75×6 | L-40×40×3 | M16 | 8 | ||
| 1500 | 500 | L-65×65×6 | L-40×40×3 | M20 | 16 | |
| 1000 | L-75×75×6 | L-40×40×3 | M20 | 8 | ||
| 2000 | 500 | L-65×65×6 | L-40×40×3 | ※ | ※ | |
| 1000 | L-75×75×6 | L-40×40×3 | M12 | 16 | ||
| 2000 (kgf) |
1000 | 500 | L-75×75×6 | L-40×40×3 | M20 | 16 |
| 1000 | L-75×75×9 | L-40×40×3 | M20 | 8 | ||
| 1250 | 500 | L-75×75×6 | L-40×40×3 | ※ | ※ | |
| 1000 | L-75×75×9 | L-40×40×3 | M20 | 8 | ||
| 1500 | 500 | L-75×75×6 | L-40×40×3 | ※ | ※ | |
| 1000 | L-75×75×9 | L-40×40×3 | M16 | 16 | ||
| 2000 | 500 | L-75×75×6 | L-40×40×3 | ※ | ※ | |
| 1000 | L-75×75×9 | L-40×40×3 | M16 | 16 | ||
| 2500 (kgf) |
1000 | 500 | L-75×75×9 | L-40×40×3 | ※ | ※ |
| 1000 | L-90×90×7 | L-40×40×3 | M20 | 8 | ||
| 1250 | 500 | L-75×75×9 | L-40×40×3 | ※ | ※ | |
| 1000 | L-90×90×7 | L-40×40×3 | M16 | 16 | ||
| 1500 | 500 | L-75×75×9 | L-40×40×3 | ※ | ※ | |
| 1000 | L-90×90×7 | L-40×40×3 | M16 | 16 | ||
| 2000 | 500 | L-75×75×9 | L-40×40×3 | ※ | ※ | |
| 1000 | L-90×90×7 | L-40×40×3 | M20 | 16 | ||
| 3000 (kgf) |
1000 | 500 | L-90×90×7 | L-40×40×3 | ※ | ※ |
| 1000 | L-100×100×7 | L-40×40×3 | M16 | 16 | ||
| 1250 | 500 | L-90×90×7 | L-40×40×3 | ※ | ※ | |
| 1000 | L-100×100×7 | L-40×40×3 | M16 | 16 | ||
| 1500 | 500 | L-90×90×7 | L-40×40×3 | ※ | ※ | |
| 1000 | L-100×100×7 | L-40×40×3 | M20 | 16 | ||
| 2000 | 500 | L-90×90×7 | L-40×40×3 | ※ | ※ | |
| 1000 | L-100×100×7 | L-40×40×3 | ※ | ※ | ||
As there are no anchor bolts compatible with the items marked * in the table, it is necessary to increase the width (L dimension) of the frame.
