software snapshot

Powered by a sophisticated FEM Solver increasing capacity and substantially speeding up solution for large and complex models, spMats v8.12 is widely used for analysis, design and investigation of concrete mat foundations, footings, and slabs on grade.

spMats, formerly pcaMats and MATS, is equipped with the latest American (ACI 318-14) and Canadian (CSA A23.3-14) concrete codes. spMats is utilized by engineers worldwide to optimize complicated foundation design,and improve analysis of soil structure interaction.

spMats uses the plate-bending theory and the Finite Element Method (FEM) to model the behavior of the mat or slab. The soil supporting the slab is assumed to behave as a set of one-way compression-only springs (Winkler foundation). The boundary conditions may be the underlying soil, nodal springs, piles, or translational and rotational nodal restraints. The model is analyzed under uniform (surface) and concentrated loads. The resulting deflections, soil pressure (or spring reactions), and bending moments are output.

User Interface
Reinforced Concrete Foundation Systems
Spread and Combined Footings
Spread Footing
Spread Footing
Combined Footing
Combined Footing
Pile Caps
Pile Supported
Pile Supported
Mat Foundations
Office Building Mat Foundation
Office Building Mat Foundation
Industrial Foundations
Chimney Foundation
Chimney Foundation
Silo Foundation
Silo Foundation
Tank Pad Foundations
Circular Tank Foundation
Circular Tank Foundation
Equipment Foundations
Pump Station Building Foundation
Pump Station Building Foundation
Telecommunication Tower Foundations
Telecommunication Tower Foundation
Telecommunication Tower Foundation
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Analysis & Design
Finite Element Method
spMats Program uses the Finite Element Method for the structural modeling and analysis of reinforced concrete slab systems or mat foundations subject to static loading conditions. The slab is idealized as a mesh of rectangular plate finite elements with four nodes at the corners and three degrees of freedom (Dz, Rx and Ry) per node. This element considers the thin plate theory, which makes use of the following Kirchhoff hypotheses.
Finite Element Meshing - Node Element Numbering
Finite Element Meshing - Node Element Numbering
Winkler's Foundation
The soil supporting the slab is modeled as a group of linear uncoupled springs (Winkler type) concentrated at the nodes. The soil element is tensionless, weightless, and has one degree of freedom, which is the displacement in the Z direction (Dz). The contribution of each element node to the soil spring stiffness is equal to the nodal tributary area (one-fourth of the element area) multiplied by the soil subgrade modulus, Ks, under the element. Additional nodal springs may be applied in parallel to the Winkler’s springs. Accordingly, their linear stiffness, Kns, is added to the equivalent spring constant.
Two-way (Punching) Shear Calculations
spMats program checks the punching shear around columns and piles for ultimate load combinations per American (ACI 318), and Canadian (CSA) concrete codes. Piles are allowed to be embedded into the slab/mat which effectively decreases the average effective depth of the critical section segments.
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Results Output
Contour Views
Reinforcements
spMats reports the reinforcement quantities per unit length. The base reinforcement ratio can be specified by the user that is taken into account (base reinforcement shown with blue color in contour views below) by the Program when displaying reinforcement contours.
Required Top Reinforcement Along X-Direction (in2/ft)
Required Top Reinforcement Along X-Direction (in2/ft)
Required Bottom Reinforcement Along X-Direction (in2/ft)
Required Bottom Reinforcement Along X-Direction (in2/ft)
Required Top Reinforcement Along Y-Direction (in2/ft)
Required Top Reinforcement Along Y-Direction (in2/ft)
Required Bottom Reinforcement Along Y-Direction (in2/ft)
Required Bottom Reinforcement Along Y-Direction (in2/ft)
Reinforcement Contour Views – Envelope Values – Pile Supported Industrial Foundation
Design Moment
spMats reports the extreme positive (top layer) and extreme negative (bottom layer) Wood-Armer design bending moments, Mux, and Muy in X- and Y-directions per unit length.
Top Layer Design Moments Along X-Direction (k-ft/ft)
Top Layer Design Moments Along X-Direction (k-ft/ft)
Bottom Layer Design Moments Along X-Direction (k-ft/ft)
Bottom Layer Design Moments Along X-Direction (k-ft/ft))
Top Layer Design Moments Along Y-Direction (k-ft/ft)
Top Layer Design Moments Along Y-Direction (k-ft/ft)
Bottom Layer Design Moments Along Y-Direction (k-ft/ft)
Bottom Layer Design Moments Along Y-Direction (k-ft/ft)
Design Moment Contour Views – Envelope Values – Pile Supported Industrial Foundation
Soil Pressure
Contour View – Pressure down Envelope
Contour View – Pressure down Envelope (ksf)
Displacements
spMats reports displacements, both settlement and uplift, for individual service and ultimate load combinations as well as envelope values. The user may set a maximum allowable service displacement limit.
Displacement down (settlement)
Displacement down (settlement)
Displacement up (uplift)
Displacement up (uplift)
Displacement Contour Views – Envelope Values – Pile Supported Industrial Foundation
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Advanced Features
Soil-Structure Interaction
Uplift
During the analysis, if loading/support conditions or the mat shape causes any uplift and induces tension in a spring (soil, nodal spring, or pile), the spring is automatically removed. The mat is re-analyzed without that or any other tension spring. The program automatically iterates until all tension springs are removed and equilibrium is reached. The Program allows the user to specify a positive nodal displacement criteria beyond which a node is considered to be in uplift. Since the supporting soil is assumed to be tensionless, the default value for this nodal displacement is zero. However, this option can be utilized for pile only supported foundations with piles that have tension capacity. In this case, the positive nodal displacement input shall enable the pile to take tension as long as the specified positive displacement limit is not reached.
Soil Contact Area
Minimum ratio of soil contact area with respect to total initial soil-supported area (%) is set to 50% as default by the Program and. needs to be approved or reentered by the user based on project requirements. Setting this ratio to 100% together with positive nodal displacement criteria set to zero ensures no uplift in the model as the solution will not be completed and an error message will appear. For example, a mat foundation for a Nuclear Power Plant may require such a strict criterion to be set in spMats.
Pile Only Supported Foundations
spMats allows the user to model, analyze, design, and investigate pile supported foundations without the contribution of weak soil under the mat.
Pile Cap
Pile Cap
Pile Reactions
Pile reactions (compression or tension) for individual service and ultimate load combinations as well as envelope can be calculated by spMats Program.
Dissimilar Soils
An existing L-shaped foundation slab (supported by Soil 1) will undergo expansion (supported by Soil 2). On the expansion side, the soil subgrade modulus is 100 kcf because the contractor could not match the soil properties under the existing foundation slab, which is 200 kcf. spMats software program is utilized to investigate the impact of the dissimilar soils. Read more
Single Layer Reinforcement
Ground supported slabs are frequently designed with a single layer of reinforcing. Such slabs are referred to as membrane slabs, floating slabs, or filler slabs and range in thickness from as little as 4" to 8" depending on the supported loads. In warehouses and storage facilities such slabs are subjected to concentrated point loads from storage rack posts or forklift wheel loads. Read more
Finite Element Mesh Density
Structural engineers routinely ask us about the influence of mesh density on the results obtained from spMats models. Read more
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Read what structural engineers use spMats for (PDF, 1.0MB). Additional 20% discount available for multi-product bundle purchase spMats, spBeam, spColumn, spSlab, spWall, spFrame (formerly pcaMats, pcaBeam, pcaColumn, pcaSlab, pcWall, pcaFrame). Email us at info@StructurePoint.org for more information on pricing and licensing.