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Section 3.9
**Tension Limit State Summary**
Last Revised:
07/30/2011
__Serviceability Limit States:__
Limit State |
Specification |
Limit |
Slenderness |
D1 |
L/r __<__ 300
or
r __>__ L/300 |
__Strength Limit States:__
All strength limit states take the form:
**LRFD** |
**ASD** |
P_{u} __<__ f_{t}P_{n} |
P_{a} __<__ P_{n}/W_{t} |
Req'd P_{n} = P_{u}/f_{t}
__<__ P_{n} |
Req'd P_{n} = P_{a}
W_{t} __<__ P_{n} |
P_{u} / (f_{t}P_{n})
__<__ 1.00 |
P_{a} / (P_{n}/W_{t})
__<__ 1.00 |
R_{n} (nominal resistance) is often used in place of P_{n}
(nominal axial strength) in the equations above.
**Limit State** |
**Specification** |
**Nominal Capacity** |
**Typical Design Variables** |
**f** |
**W** |
Tensile Yielding |
D2(a)/J4.1(a) |
Member Capacity: F_{y}A_{g} |
Stl Type, Section |
0.90 |
1.67 |
Tensile Rupture |
D2(b)/J4.1(b) |
Member Capacity: F_{u}A_{e} |
Stl Type, Section, Bolt size, Bolt Layout, Section
modifications |
0.75 |
2.00 |
Block Shear |
J4.3 |
Capacity per connection: min(0.6F_{u}A_{nv} + U_{bs}F_{u}A_{nt},
0.6F_{y}A_{gv} + U_{bs}F_{u}A_{nt}) |
Stl Type, Section, Bolt Size, Bolt Layout, Section
modifications |
0.75 |
2.00 |
Bolt Bearing |
J3.10 |
Capacity per bolt hole: Std Holes, Defl
an issue:
min(1.2 L_{c}t F_{u}, 2.4 dt F_{u})
Std Holes, Defl not issue:
min(1.5 L_{c}t F_{u}, 3.0 dt F_{u}) |
Stl Type, Section, Bolt Size, Bolt Layout, Section
modifications |
0.75 |
2.00 |
Notes:
- See SCM B4.3 for requirements for computing A
_{g}
and A_{n},
and SCM D.3 for A_{e}.
- SCM J4.1(b) places an upper limit of 0.85A
_{g} on
A_{n} for connecting elements.
- Multiple failure paths may need to be considered for Tensile Rupture and
Block Shear.
- The least bolt bearing value in a connection controls the bolt bearing
strength of the member.
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