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RAFT-FEM™: A Simple and Efficient Tool for Pile-Raft Foundation Analysis and Design

Updated: Jul 24

Adisorn Owatsiriwong

ALPS CONSULTANTS



Design Faster with Confidence


In foundation engineering, there is often a gap between simplified hand calculations and large-scale finite element software. Engineers need a tool that is fast, practical, and easy to use for everyday projects without spending hours building complex models.


RAFT-FEM Mat Foundation Analysis was developed to bridge that gap.


The software provides rapid finite element analysis of mat foundations, pile-supported mats, and pile raft foundations, allowing engineers to quickly evaluate load distribution, foundation behavior, and preliminary reinforcement requirements.


Why RAFT-FEM?


Many foundation projects require quick answers during the conceptual and preliminary design stages:


- How much load is carried by each pile?

- Is the mat foundation flexible or rigid?

-What foundation thickness is required

- Where are the critical bending moments?

- What reinforcement will likely be required?

- Is the pile arrangement balanced?


Traditional 3D analysis software can answer these questions, but model preparation often takes longer than the actual engineering evaluation.



RAFT-FEM™ focuses on efficiency.


Engineers can generate a finite element model within minutes and obtain meaningful design information immediately.



K_soil_bearing = 0 (Thickness = 0.90 m)
K_soil_bearing = 0 (Thickness = 0.90 m)

K_soil_bearing = 20,000 kN/m3  (Pile raft, Thickness = 0.70 m)
K_soil_bearing = 20,000 kN/m3 (Pile raft, Thickness = 0.70 m)

The program is particularly useful for:


### Flexible Foundation and Pile Raft Analysis


### Mat Foundations


- Pile-Raft, pile and shallow Foundations

- Combined foundations

- Large equipment foundations

- Industrial foundations


### Pile-Supported Mat Foundations


- Pile caps with multiple columns

-Shear walls with arbitrary shape

- Large pile groups

- Transfer foundations

- High-rise building mat foundations


### Pile-Raft Foundations


- Settlement-sensitive structures

- Hybrid pile-soil load sharing systems (k_soil_bearing + k_pile_spring)

- Preliminary optimization studies


The software helps engineers understand how loads are distributed between piles and the foundation slab before moving to detailed design.



User-friendly GUI


The current version of RAFT-FEM equips a simple but efficient user interface. This allows full interaction with the mouse and shortcuts. The simple or moderate-sized model can be constructed easily. Also, it includes a standard CRSI pile cap library and an automatic pile cap boundary generator. For complicated models, DXF import is a more efficient workflow (in development).





Pre-Installed Problems

Some common problems in the structural design of foundations are provided as design wizards. The user can generate those models quickly. Some of the pre-installed problems are

  • Combined footing with two columns

  • Combined footing with four columns

  • Mat foundation with lift core

  • Cylindrical tank on pile cap




Reissner-Mindlin Plate Formulation: No More Simplification


At the heart of RAFT-FEM is a robust finite element formulation based on the:


Isoparametric 4-Node Reissner-Mindlin Plate Element


The formulation includes:


- Transverse displacement

- Plate bending

- Shear deformation effects

- Thick and moderately thick slab behavior

-Reduced integration for shear stiffness as an option


This makes the program suitable for:


- Thick pile caps

-Combined Footings

- Transfer mats

- Deep foundation slabs

- Pile raft systems


The Reissner-Mindlin formulation provides a practical balance between accuracy and computational efficiency.


Rapid Pile Load Distribution Assessment


One of the most valuable capabilities is automatic pile load recovery.


The software calculates:


- Individual pile reactions

- Maximum pile load

- Minimum pile load


Engineers can immediately identify:


- Overloaded piles

- Uneven load sharing

- Effects of column eccentricity

- Foundation flexibility behavior


This capability is extremely useful during preliminary design and optimization studies.



Structural Design Information


Beyond displacement analysis, RAFT-FEM provides engineering quantities required for design.


Bending Moments


- Mx

- My

- Mxy


Shear Forces


- Qx

- Qy


Foundation Deformation


- Settlement contours

- Deflected shapes


Minimum Thickness Design

The program uses binary search to bracket the minimum cap thickness governed by punching shear failure. After computing the minimum thickness, the finite element analsyis is conducted for one-way shear check and rebar design.



Wood-Armer Moment



At any small area cut, the moment can be written as 2nd order tensor like stress tensor, i.e.

m = [mxx mxy;          mxy myy]


By eigenvalue analysis, we can find the principal directions and magnitude of the principal moments where mxy = 0, i.e.


m = [m11 0;        0 m22]; where m11 and m22 are bending moment in the principal direcitons.


For slab near the entrant corner, column and wall support where both mx and my act simultaneously. mxy is low value at most typical slab region.


For reinforcement design, it is common to design the rebar align to the local x and y direction of slab for ease of construction. Wood-Armer's moment wasorigated from that practical design aspect by considering that twisting moment must increase to normal bending moment in a conservative sense, i.e.


mx_design = mx + |mxy| ; mx > 0

                    = mx - |mxy| ; mx < o and the same to my_design


Reinforcement Assessment



k_soil_bearing = 0 (Thickness = 0.90 m)
k_soil_bearing = 0 (Thickness = 0.90 m)

K_soil_bearing = 20,000 kN/m3 (Pile Raft, Thickness = 0.70 m)
K_soil_bearing = 20,000 kN/m3 (Pile Raft, Thickness = 0.70 m)

The program can compute the flexural rebar and perform shear check following ACI318-25 requirements:


  • Required reinforcement areas (mm2/m)

  • High-demand regions

  • Punching shear check from column dimension and cap thickness

  • One-way shear stress check

  • Punching shear strength check around columns

  • Punching shear check around pile shall be manually checked by user


This allows engineers to move rapidly from analysis to design decisions.



Rebar can be rearranged according to the specified bounds of spacing [smin smax]. The program employs bracketing searches to find the best rebar arrangement to achieve the goal.



Rebar Region and Local Coordinate Design

The mat can be divided into regions with different assigned rebar inclination angles. Using local coordinate transformation, the rebar grid can be aligned with those local coordinate axes. This is practical for mats with irregular shapes. The post-processed local moment is a 2D transformation of the moment tensor in global coordinates, i.e. [ mxx mxy = [T] [mXX mXY. [T]' mxy myy ] mXY mYY]


where transformation matrix [T] = [c s ; -s c]. c = cos(alpha), s = sin(alpha)


Note: For isotropic material (assumed in the analysis), no element stiffness transformation is required since we formulate the element stiffness in reference to the global coordinate.

Different mat or slab regions can have different thickness and fc'
Different mat or slab regions can have different thickness and fc'

Punching Shear Design according to ACI318-25


Detailed punching shear analysis and design are automatically performed using the ACI 318-25 approach. The program uses advanced computational geometry to trace the critical shear perimeter for columns and piles. The detailed calculations are summarized in the table for quick review.



Powerful Visualization Tools


Engineering decisions become easier when results are visualized clearly.


RAFT-FEM includes contour plotting capabilities for:


- Vertical displacement

- Pile reactions

- Mx moments

- My moments

- Twisting moments Mxy

- Shear forces Qx

- Shear forces Qy

-As, top & As, bottom in x and y direction based on Wood-Armer's concept

-One-way shear stress in x and y direction


Engineers can quickly identify critical regions and understand structural behavior visually.


Typical Workflow


### Step 1

Define foundation boundary as polygonal (or from a template model)


### Step 2

Specify pile locations and spring stiffness. (or from a template model)


### Step 3

Enter column locations, dimensions, and transferred loads.


### Step 4

Generate finite element mesh automatically.


### Step 5

Run analysis.


### Step 6

Review:


- Pile reactions

- Settlement contours

- Moment diagrams

- Shear distributions



### Step 7

Perform preliminary concrete design.


The entire process typically requires only a fraction of the time needed for conventional finite element software.

-Flexural rebar

-Punching shear check

-One-way shear stress check DCR



Practical Applications


RAFT-FEM is ideal for:


- Preliminary foundation sizing

- Feasibility studies

- Alternative pile layout evaluation

- Pile raft behavior assessment

-Conventional pile and shallow mat foundations

- Load distribution verification

- Foundation optimization studies

- Construction engineering support



Engineering Efficiency Through Simplicity


RAFT-FEM Mat Foundation Analysis was created with one objective:


Provide engineers with rapid, practical finite element analysis for everyday foundation design problems.


By combining:


- Easy model generation

- Reissner-Mindlin plate elements

- Flexible foundation analysis

- Pile load distribution assessment

- Concrete design evaluation

- Professional visualization tools


The software allows engineers to obtain reliable answers quickly and focus on engineering judgment rather than model preparation.




References


M Bischoff, Advanced Finite Element Method, Lecture notes at Technische Universität München, 2002

KJ Bathe, Finite Element Procedures, Prentice-Hall, 1996

Mukhopadhyay and Sheikh, Matrix and Finite Element Analyses of Structures, Springer 2022

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