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


Table 11-1: Effective length factors, K (after AASHTO 2014)



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Soldier Rev B
Table 11-1: Effective length factors, K (after AASHTO 2014).
Column Parameters
Column End Conditions
Buckled shape of column is shown by dashed line Bottom Rotation Restraint Fixed Fixed Free Fixed Fixed Free Bottom Translation Restraint Fixed Fixed Fixed Fixed Fixed Fixed Top Rotation Restraint Fixed Free Free Fixed Free Fixed Top Translation Restraint Fixed Fixed Fixed Free Free Free Theoretical K value
0.5 0.7 1.0 1.0 2.0 2.0 Design value of K when ideal conditions are approximated
0.65 0.80 1.0 1.2 2.1 2.0 For preliminary calculations, however, depth to fixity below the ground maybe evaluated based on soil type and soil strength parameters as shown in Eq. 11-2 to Eq. 11-4 and discussed in Chapter 6. Refer to
FHWA Report Number FHWA NHI-16-009: Geotechnical Engineering Circular Number 12 – Volumes 1 &
2 Design and Construction of Driven Pile Foundations and FHWA Report Number FHWA NHI-10-016 for information regarding values for n
h
For clays:
𝑑𝑑
𝑓𝑓
= Equation 11-2)
𝐸𝐸
𝑠𝑠
= Equation 11-3) For sands
𝑑𝑑
𝑓𝑓
= 1.8 Equation 11-4)


147 Where d
f
= Depth to fixity below the ground (ft. E = Elastic modulus of the foundation element material (ksi). Es Elastic modulus of clay soils. s
u
= Undrained shear strength of clay (ksf). l
w
= Weak axis moment of inertia of foundation element (ft. n
h
= Rate of increase of soil modulus with depth (ksi/ft).
11.3 PROCEDURES FOR REINFORCED CONCRETE SECTIONS
This section provides a description of the structural design considerations for foundation elements constructed from reinforced concrete. Foundation elements covered under this manual included bored piles, drilled shafts, concrete cylinder piles, and reinforced concrete piles (both conventionally reinforced and prestressed). Although there are cases where the reinforced-column approach is unnecessary for concrete foundation elements due to zero or very low moment effects, concrete foundation elements must always be designed with the minimum reinforcement required for compression members as stipulated in Section 5 of
AASHTO (2014) because of the potential for unforeseen loading. Detailing of the reinforcing and prestressing steel should be in accordance with the requirements of Section 5 AASHTO (2014). Numerous commercially available computer programs are also available for the design of concrete compression members.

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