Geotechnical Engineering Circular No. 9 Design, Analysis, and Testing of Laterally Loaded Deep Foundations that Support Transportation Facilities


Step 2: Determine the nominal flexural resistance



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Soldier Rev B
Step 2: Determine the nominal flexural resistance.
To determine the nominal flexural resistance, the above slenderness definitions should first be resolved. These functions serve to define the limiting flexural resistance. In the case where the limiting slenderness ratio of a compact flange is greater than the slenderness ratio, the plastic moment about the weak axis will limit resistance. For H-piles, Equation 11-37 can be used. Conversely, Equation 11-39 should be used when the slenderness ratio is greater than the limiting slenderness ratio of a compact flange.


167 If
πœ†πœ†
𝑓𝑓
≀ πœ†πœ†
𝑝𝑝𝑓𝑓
𝑀𝑀
π‘šπ‘š
= Equation 11-40) In which, for HP-sections about the weak axis
𝑀𝑀
𝑝𝑝
= Equation 11-41) If th
πœ†πœ†
𝑝𝑝𝑓𝑓
< πœ†πœ†
𝑓𝑓
≀ πœ†πœ†
𝑐𝑐𝑓𝑓
e nominal flexural resistance about the weak axis is:
𝑀𝑀
π‘šπ‘š
= [1 βˆ’ οΏ½1 βˆ’
𝑆𝑆
𝑦𝑦
𝑍𝑍
𝑦𝑦
οΏ½
⎝
⎜
⎜
βŽ› πœ†πœ†
𝑓𝑓
βˆ’ πœ†πœ†
𝑝𝑝𝑓𝑓
0.45�𝐸𝐸
𝑠𝑠𝑑𝑑
𝐹𝐹
𝑦𝑦𝑓𝑓
⎠
⎟
⎟
⎞
]𝑓𝑓
𝑦𝑦𝑓𝑓
𝑍𝑍
𝑦𝑦
(Equation 11-42)
Where:
𝑀𝑀
π‘šπ‘š
= Nominal flexural resistance (kip-in).
𝑀𝑀
𝑝𝑝
= Plastic moment about the weak axis (kip-in).
𝑆𝑆
𝑦𝑦
= Elastic section modulus about weak axis (in
3
).
𝑍𝑍
𝑦𝑦
= Plastic section modulus about weak axis (in
3
).
πœ†πœ†
𝑓𝑓
= Slenderness ratio for flange (Eq. 11-37, dimensionless).
πœ†πœ†
𝑝𝑝𝑓𝑓
= Limiting slenderness ratio for a compact flange (Eq. 11-38, dimensionless).
𝐸𝐸
𝑠𝑠
t
= Elastic modulus of steel (ksi).
𝐹𝐹
𝑦𝑦
= Yield stress of steel (ksi).
𝐹𝐹
𝑦𝑦𝑓𝑓
= Minimum yield strength of lower strength flange (ksi).
11.4.5.2 Steel Pipe Piles
Step 1: Check diameter to thickness ratio
If the diameter to thickness ratio is sufficiently large, local buckling limits flexural resistance. To inspect whether the plastic moment or local buckling will govern flexural resistance, Eq. 11-43 should be applied. If Eq. 11-43 is satisfied, the plastic moment will yield the steel pile and Step a should follow. Conversely, local buckling will limit flexural resistance if Eq. 11-43 is not satisfied, and therefore Step b should follow.
𝐷𝐷
𝑑𝑑 ≀ Equation 11-43) Where
𝐷𝐷 = Outside diameter of pipe (in.
𝑑𝑑 = Pipe thickness int Elastic modulus of steel (ksi). y = Yield strength of steel (ksi).


168

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