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Calcimator

Masonry Wall Design Calculator

Design reinforced masonry walls: check slenderness, compressive capacity, moment capacity, and load adequacy.

Inputs

ft
mm

TMS 402: min 150 mm load-bearing; 200 mm (8") standard CMU; 300 mm (12") for high axial loads

mm
MPa

ASTM C90 / TMS 402: standard CMU f'm 13–15 MPa; high-strength 20–30 MPa; min 13.8 MPa

(1=M, 2=S, 3=N)

ASTM C270: Type M ≥17.2 MPa (foundations); Type S ≥12.4 MPa (reinforced); Type N ≥5.2 MPa (exterior above grade)

mm
mm
N

Results

Compressive Capacity

555,153 N

Allowable Axial Load

555,153 N

Adequate?

1 (1=yes, 0=no)

Slenderness Ratio (h/t)15
Moment Capacity12,725,984 N·mm
How to Use This Calculator
  1. Enter the wall height, thickness, and the design wind pressure in psf.
  2. Input the masonry compressive strength (f'm) and the reinforcing steel yield strength.
  3. Set the axial load from floors or roof above in plf.
  4. Review the Moment Capacity, Shear Capacity, and the Combined Stress Check.
  5. Ensure unity ratios for bending and shear are both under 1.0 per TMS 402.

How the result changes with Wall Thickness

Wall ThicknessCompressive CapacityAllowable Axial LoadAdequate?
130355,122 N355,122 N1 (1=yes, 0=no)
205569,350 N569,350 N1 (1=yes, 0=no)
295823,989 N823,989 N1 (1=yes, 0=no)
3701,035,475 N1,035,475 N1 (1=yes, 0=no)

What each input means

Wall Height
Unsupported height of the masonry wall between lateral supports.
Wall Thickness
Nominal thickness of the masonry wall per TMS 402 (Masonry Building Code). Standard CMU: 100 mm (4"), 150 mm (6"), 200 mm (8", most common), 250 mm (10"), 300 mm (12"). TMS 402 requires minimum 150 mm for load-bearing.
Wall Length
Length of wall section under consideration.
Block Compressive Strength
Compressive strength of the concrete masonry unit per ASTM C90. Standard CMU minimum f'm = 13.8 MPa (2,000 psi); high-strength CMU 20–40 MPa. Per TMS 402, f'm is the specified compressive strength of the assembly, typically 13–20 MPa.
Mortar Type
Mortar type per ASTM C270. Type M (1): highest strength ≥17.2 MPa, below grade/foundations; Type S (2): ≥12.4 MPa, reinforced masonry/below grade; Type N (3): ≥5.2 MPa, above grade/exterior walls. TMS 402 specifies mortar by type.
Rebar Spacing
Center-to-center spacing of vertical reinforcing bars.
Rebar Size (diameter)
Nominal diameter of vertical reinforcing bars. Common: 10, 13, 16, 19 mm.
Applied Axial Load
Factored axial compression load applied to the wall section.

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    4 parameters
    Wall Height = 3, Wall Thickness = 200, Wall Length = 1000, Block Compressive Strength = 15 = 8 input(s) provided
  2. Calculate Compressive Capacity
    Compressive Capacity
    555153 = 555153
  3. Calculate Allowable Axial Load
    Allowable Axial Load
    555153 = 555153
  4. Calculate Adequate?
    Adequate?
    1 = 1
  5. Calculate Slenderness Ratio
    Slenderness Ratio
    15 = 15
  6. Calculate Moment Capacity
    Moment Capacity
    12725984 = 12725984

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