Structural Calculator

Concrete Beam Design Calculator

Design rectangular reinforced concrete beams for flexure and shear per ACI 318. Interactive stress block visualization, tension-controlled check, and demand-to-capacity ratios.

ACI 318 · LRFD · SI Units

What This Calculator Can Do

A complete flexure-and-shear design toolset for rectangular reinforced concrete beams.

Flexural Design (φMn)

Compute nominal and factored moment capacity using the Whitney rectangular stress block with automatic φ factor.

Shear Design (φVn)

Calculate concrete and steel shear contributions Vc + Vs per ACI 318 Section 22.5 with stirrup sizing.

Stress Block Analysis

Whitney block depth a, neutral axis depth c, and tensile strain εt computed from strain compatibility.

Steel Ratio Check

Compare actual ρ to ρmin and ρmax limits with clear pass/fail indication.

Section Classification

Tension-controlled, transition, or compression-controlled classification based on εt at nominal strength.

Minimum Reinforcement

Automatic As,min check per ACI 318 §9.6.1 using both √f′c and 1.4/fy criteria.

Stirrup Design

Size and space transverse reinforcement with maximum spacing limits and minimum Av/s requirements.

Applied Loads (Mu, Vu)

Input factored demand moment and shear directly, or derive from distributed and point loads on a span.

Demand-to-Capacity Ratio

DCR reported per limit state (flexure, shear) with color-coded results and utilization summary.

Interactive Section Drawing

Live cross-section with stress block, neutral axis, tension/compression zones, and reinforcement layout.

Step-by-Step Calculation Sheet

Full engineering calculation report with formulas, intermediate values, and ACI code references.

PDF Export

Export professional calculation reports to PDF for documentation, review, and project records.

How It Works

Get from inputs to a complete beam design in four simple steps.

1

Define Section & Materials

Enter beam width, depth, cover, bar sizes, and material strengths f′c and fy.

2

Enter Loads (Mu, Vu)

Provide factored demand moment and shear at the critical section of the beam.

3

Review Capacities & DCR

Inspect φMn, φVn, stress block, section classification, and demand-to-capacity ratios.

4

Export PDF

Generate a professional calculation report with all inputs, results, code references, and graphics.

Standards & Codes

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