Masonry Shear Wall (LRFD)
Run the calcMethod & scope
Choosing the right calculator
Calcs.com has three TMS 402/602-22 masonry wall calculators. They are not interchangeable.Gravity Wall (LRFD)
Gravity Wall (ASD)
Shear Wall (LRFD)
When to use this calculator
Use this calculator when a CMU wall acts as a lateral force-resisting element and must carry in-plane shear and overturning from wind or seismic loads.Assumptions and limitations
- Strain compatibility is assumed between reinforcement, grout, and masonry.
- Vertical reinforcement is uniformly distributed along the wall length.
- Walls with openings use the segmented pier method per TMS 402/602-22 Section 4.1.6. Openings must be vertically aligned across stories.
- Spandrel stiffness above and below openings is not included in pier stiffness.
- Non-aligned or overlapping openings are not supported.
- Only one layer of reinforcing steel is supported.
Calculations
After inputs are set, the calculator builds section properties, applies LRFD load combinations, and checks axial, flexural, and shear capacity. Open Detailed view to see intermediate steps and TMS 402/602-22 clause references for each section below.Geometric Properties of CMU Wall
Geometric Properties of CMU Wall computes net area, moment of inertia, section modulus, and self-weight from the masonry and reinforcement inputs above.Design Conditions
Design Conditions pulls the load combination code from project defaults (IBC 2024 / TMS 402/602-22) and confirms the design standard edition in use.Load Combination Analysis
Load Combination Analysis expands LRFD strength combinations and reports factored axial, moment, and shear demands at the governing story and load case.Wall Properties
Wall Properties reports slenderness, effective shear depth, and story-level demand summaries used in the strength checks below.Openings in Wall
When Has Openings? is Yes, Openings in Wall validates opening geometry and builds the expanded opening tables used in the segmented analysis. Checks include:- Openings must fall within the wall height and length.
- Openings must not overlap or touch; merge adjacent openings into one entry.
- Multi-story walls require vertical alignment of opening position and width across stories.
Segmented Method Analysis (Piers)
For walls with openings, Segmented Method Analysis (Piers) divides the wall into solid piers, calculates pier length and aspect ratio, and distributes story base shear among piers by relative rigidity per TMS 402/602-22 Section 4.1.6.- Pier Boundary Condition: Cantilever (fixed base, free top) or Fixed-Fixed (top rotation restrained). This feeds pier stiffness in the segmented analysis.
- Modulus of Rigidity: shear modulus used in pier stiffness, taken as 0.4 × masonry modulus of elasticity per TMS 402 Section 4.2.2.2.
- Pier Tributary Width and Axial Load: tributary area and axial load assigned to each pier segment.
In-Plane Shear (TMS 402/602-22, Section 9.3.3.1.2)
In-Plane Shear checks factored in-plane shear demand against masonry shear capacity. For solid walls (Has Openings? = No), summary rows In-Plane Shear Demand and In-Plane Shear Capacity report the governing result. For walls with openings, pier-level shear checks appear in Piers Capacities.Moment-Axial Interaction (TMS 402-22, Section 9)
Combined in-plane axial and bending capacity is evaluated in Interaction Diagram (Axial & Flexure). The Interaction Utilization Check table reports utilization for every load combination. Maximum Area of Flexural Tensile Reinforcement (TMS 402/602-22, Section 9.3.5.6.1.) checks ductility limits on vertical steel for the selected Shear Wall Designation.All detailed calculation sections
All detailed calculation sections
- Geometric Properties of CMU Wall
- Load Combination Analysis
- Wall Properties
- Openings in Wall
- Segmented Method Analysis (Piers)
- Piers Design Demands (Factored Forces)
- Piers Capacities
- In-Plane Shear (TMS 402/602-22, Section 9.3.3.1.2.)
- Interaction Diagram (Axial & Flexure)
- Maximum Area of Flexural Tensile Reinforcement (TMS 402/602-22, Section 9.3.5.6.1.)
What it calculates
US structural engineers designing reinforced masonry shear walls to TMS 402-22 for low- and mid-rise commercial, residential, and institutional buildings. Consolidates multi-spreadsheet workflows, combined axial + flexure with a generated P-M interaction diagram (slenderness included), in-plane shear from masonry + reinforcement, multi-story accumulated demands, and automatic SDC-based detailing, into one code-aligned calculator. Eliminates manual interaction-diagram interpolation and reduces error-prone shear check steps.Calculation method
Masonry and reinforcement properties
Inputs establish the material model: masonry type (clay or concrete masonry), CMU nominal size, specified compressive strength f’m, unit weight, mortar type, and grout condition (partial or full). Reinforcement grade (Grade 60 standard) and bar layout complete the cross-section definition. The calculator derives net and gross section properties from these inputs, applying the correct maximum usable strain at the extreme compression fiber: ε_mu = 0.0035 for clay masonry and ε_mu = 0.0025 for concrete masonry, per TMS 402/602-22 assumptions.Geometric properties and wall configuration
Wall height per story, number of stories, opening locations, and CMU pattern (running bond assumed) define the structural geometry. The segmented pier method splits walls with openings into individual piers for analysis. Each pier carries its tributary axial load and the lateral shear from above, with results combined to govern the wall design.Load combination analysis
Factored gravity loads (dead, live, roof) and lateral demands (wind or seismic per story) are assembled into ASCE 7 load combinations. The calculator accumulates axial demand Pu at each story level and resolves in-plane lateral demands Vu and moment demand Mu at the critical section. Dynamic load linking allows wind and seismic inputs to propagate from upstream analysis calculators without manual re-entry.In-plane shear (TMS 402/602-22, Section 9.3.3.1.2)
Nominal shear strength combines masonry and horizontal reinforcement contributions: Vn = Vm + Vs where Vm depends on the factored axial stress, f’m, and wall geometry, and Vs = 0.5·As·fy·(d/s). The design check is: φVn ≥ Vu, with φ = 0.80 for shear Separate limits apply to Ordinary, Intermediate, and Special walls. For Special Reinforced Shear Walls the code caps the total Vn at a fraction of f’m·An to ensure ductile flexural yielding governs over shear failure.Interaction diagram (axial and flexure)
The P-M interaction envelope is built using a rectangular equivalent stress block (0.80·f’m over depth a = 0.80·c) with the neutral axis located by strain compatibility. Vertical reinforcement is modeled as uniformly distributed along the wall length. For each point on the envelope, the calculator checks P-delta amplification of moment demand using the magnified moment approach so slenderness effects are included at every load combination. The governing interaction check is: utilization = Mu / φMn (at Pu) ≤ 1.0Maximum flexural reinforcement (Section 9.3.5.6.1)
To ensure ductile wall behavior, TMS 402-22 limits the maximum area of flexural tensile reinforcement based on the strain compatibility condition at the balanced point. The calculator enforces this limit automatically, flagging configurations where the reinforcement ratio would prevent adequate rotation capacity before masonry crushing.Seismic detailing checks
For Intermediate and Special walls, the calculator validates minimum bar sizes at wall boundaries and maximum spacing of both vertical and horizontal reinforcement. These detailing checks are filtered by the SDC you enter, so only the requirements that apply to your wall type and seismic category are shown.How to use it
Inputs
Masonry Properties
- Story Height and Number of Stories: define the wall height used in slenderness, shear, and story-level load tables.
- Total Wall Length: plan length of the shear wall system.
- Masonry Type, Concrete Masonry Unit Size, CMU Pattern, and Mortar Type: feed unit dimensions and material properties from CMU-TEC references.
-
Fully or Partially Grouted?, Specified Compressive Strength, Masonry Modulus of Elasticity, and density inputs: feed Geometric Properties of CMU Wall and strength checks.

Wall openings
- Story Number: set to All when the same opening layout repeats on every story, or enter an individual story number for story-specific openings.
- Distance to Left of Opening: horizontal distance from the left end of the wall to the left edge of the opening.
- Opening Width and Height of Opening: plan and vertical dimensions of the opening.
- Height from Floor to Bottom of Opening: sill height measured from the story floor.
Reinforcement Properties
- Steel Reinforcement Grade, Vertical Bar Size, and Vertical Bar Spacing (c/c): feed axial, flexural, and shear capacity. The calculator validates spacing against TMS 402/602-22 limits for the selected Shear Wall Designation.
- Vertical Reinforcement Wall Edge Distance (Cover): horizontal distance from the wall end to the nearest vertical bar.
- Vertical Reinforcement Opening Edge Distance (Cover): appears when openings are present. Horizontal distance from an opening edge to the nearest vertical bar.
-
Include Horizontal Reinforcement?, Horizontal Bar Size, and Horizontal Bar Spacing (c/c): optional bond-beam steel checked in Horizontal Reinforcement (Bond Beam).

Loads
- Include Self-Weight?: toggles whether Self-Weight is added as a dead load.
- Loads at Top of Wall: enter axial, shear, and moment loads by story. Loads can be linked from other Calcs.com sheets such as wind or seismic analysis modules.
- Seismic Design Category: appears when seismic loads are entered. Filters available Shear Wall Designation options per TMS 402/602-22 Section 7.3.2.
- Shear Wall Designation: set to Ordinary, Intermediate, or Special based on SDC. The calculator applies the corresponding reinforcement and detailing limits.

Results
Axial
In-plane moment
In-plane shear
Interaction
- Axial Demand vs Factored Axial Capacity, Considering Axial Demand (Pu)
- Moment Demand vs Moment Capacity, Considering Axial Demand (Pu)
-
In-Plane Shear Demand vs In-Plane Shear Capacity

- Piers Design Demands (Factored Forces): factored axial, shear, and moment for every pier on every story.
- Piers Capacities: design shear and moment strength plus pass/fail checks (✅ Vu ≤ ΦVn and ✅ Mu ≤ ΦMn) for each pier.
- Story and Pier selectors at the top of the sheet filter the Interaction Diagram and summary demands for one pier at a time.
-
Warnings appear in Summary when one or more piers fail shear or flexure design checks.



Troubleshooting
Inputs flagged in red
Inputs flagged in red
Openings fail vertical alignment check
Openings fail vertical alignment check
One or more piers fail in Summary
One or more piers fail in Summary
Shear Wall Designation options are limited
Shear Wall Designation options are limited
One check is governing in Summary
One check is governing in Summary
Common questions
What design method and code standard does this calculator use?
What design method and code standard does this calculator use?
What are the key inputs?
What are the key inputs?
What does it check or output?
What does it check or output?
Can I model walls with openings?
Can I model walls with openings?
How do I select between Ordinary, Intermediate, and Special reinforced shear walls?
How do I select between Ordinary, Intermediate, and Special reinforced shear walls?
Does this calculator support load linking with wind and seismic analysis calculators?
Does this calculator support load linking with wind and seismic analysis calculators?