Reinforced CMU In-Plane Shear Wall (TMS 402)
Strength design of a fully-grouted reinforced concrete-masonry in-plane shear wall segment per TMS 402-16 (MSJC) Chapter 9, under factored axial load plus in-plane shear plus in-plane overturning moment (Mu = Vu·hw for a cantilever wall). Checks axial strength with slenderness, in-plane shear (masonry plus reinforcement) with the M/(V·dv) factor and axial bonus, a simplified in-plane flexural strength from boundary steel plus axial load, and the prescriptive minimum shear-wall reinforcement. Fully customizable.
What this calculates
Net cross-sectional area, slenderness ratio (h/r) and slenderness reduction factor, nominal and design axial strength (φPn, φ = 0.90), masonry shear Vnm with the M/(V·dv) and +0.25·Pu terms and the 6→4·An·√f'm cap, reinforcement shear Vns, design shear strength (φVn, φ = 0.80), a simplified in-plane design moment strength, and demand-to-capacity ratios for axial, shear, and flexure plus the minimum reinforcement check.
Inputs
Plan length of the wall segment (direction of in-plane shear)
Nominal wall thickness (actual = nominal − 3/8 in)
Clear height (cantilever; sets Mu = Vu·hw)
Specified compressive strength of masonry (TMS 402 §4)
Reinforcement yield strength (ASTM A615 Gr. 60)
Distributed vertical reinforcement size and spacing
Horizontal (shear) reinforcement size and spacing
Vertical steel concentrated in the tension end zone
Factored axial compression on the wall
Factored in-plane shear at the base
Outputs
Design axial strength with slenderness, φ = 0.90
Design in-plane shear strength with φ = 0.80
Simplified in-plane design moment strength
In-plane shear demand-to-capacity ratio — must be ≤ 1.0
In-plane flexural demand-to-capacity ratio — must be ≤ 1.0
Methodology
Per TMS 402-16 (MSJC) Strength Design, Chapter 9. Axial strength Pn includes the slenderness factor [1 − (h/140r)²] or (70r/h)² per Section 9.3.4.1.1. In-plane shear Vn = Vnm + Vns with dv = lw and net area An = t·lw (fully grouted) per Section 9.3.4.1.2, including the M/(V·dv), +0.25·Pu terms and the 6→4·An·√f'm upper cap, φ = 0.80. Flexural strength is a simplified boundary-steel-plus-axial model per Section 9.3.2 — use a full P-M interaction for final design. Minimum prescriptive shear-wall reinforcement per Section 7.3.2.6. Factored loads per ASCE 7-22 Section 2.3.1. Excludes full P-M interaction, boundary elements, intermediate seismic detailing, and out-of-plane bending.
Code References
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