> For the complete documentation index, see [llms.txt](https://i.janardhanpulivarthi.com/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://i.janardhanpulivarthi.com/bridge-engineering/pier-calculations.md).

# Pier calculations

#### Calculation of pile moment

Type of pile

| Type of pile       | Comments               |
| ------------------ | ---------------------- |
| Bored cast in-situ | Stiffness is different |

#### Depth of fixity (for Seismic case)

$$L\_1 =$$ Height above ground level of lateral Forces

$$T = ( E \* I/h\_h)^{1/5}$$&#x20;

#### Maximum moment in pile

Fixed end moment in pile is given by, $$M\_F = Q \* (L\_1 + L\_F) / 2$$&#x20;

(For fixed head piles, refer to IS 2911 (part 1/Sec 2-2010) Cl. C.4.3 of Appendix C)

Actual maximum moment in pile is given by, $$M = m \* M\_F$$&#x20;

From IS: 2911 (Part 1/ Sec 2-2010), from fig. 5b of Append. C, corresponding to $$L\_1 / T$$ .

Maximum moment in pile, $$m = 12.29 \* Q$$&#x20;

{% hint style="info" %}
&#x20;Pile moments are calculated in this fashion in this book.
{% endhint %}


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