calcs/concrete-beam2/calc.py

from __future__ import annotations

import json
import math
import sys
from pathlib import Path

try:
    import yaml
except ImportError:
    raise SystemExit("Install PyYAML: python -m pip install pyyaml")

try:
    from pint import DimensionalityError, UndefinedUnitError, UnitRegistry
except ImportError:
    raise SystemExit("Install Pint: python -m pip install pint")


HERE = Path(__file__).resolve().parent

ureg = UnitRegistry()
ureg.define("kip = 1000 * force_pound")
ureg.define("ksi = kip / inch ** 2")
ureg.define("klf = kip / foot")
if "psf" not in ureg:
    ureg.define("psf = force_pound / foot ** 2")
if "pcf" not in ureg:
    ureg.define("pcf = force_pound / foot ** 3")


def to_magnitude(value, unit: str, name: str) -> float:
    try:
        quantity = ureg.Quantity(value)
    except (UndefinedUnitError, ValueError, TypeError) as exc:
        raise ValueError(f"{name}: cannot parse {value!r}") from exc
    try:
        magnitude = float(quantity.to(unit).magnitude)
    except DimensionalityError as exc:
        raise ValueError(f"{name}: expected {unit}, got {value!r}") from exc
    if magnitude <= 0:
        raise ValueError(f"{name} must be positive")
    return magnitude


def compute(inp: dict) -> dict:
    span_ft = to_magnitude(inp["span"], "ft", "span")
    tributary_ft = to_magnitude(inp["tributary"], "ft", "tributary")
    D_psf = to_magnitude(inp["D"], "psf", "D")
    L_psf = to_magnitude(inp["L"], "psf", "L")
    bw_in = to_magnitude(inp["bw"], "in", "bw")
    h_in = to_magnitude(inp["h"], "in", "h")
    d_in = to_magnitude(inp["d"], "in", "d")
    fc_ksi = to_magnitude(inp["fc"], "ksi", "fc")
    fy_ksi = to_magnitude(inp["fy"], "ksi", "fy")
    As_in2 = to_magnitude(inp["As"], "in**2", "As")
    concrete_pcf = to_magnitude(inp["concrete_density"], "pcf", "concrete_density")

    self_weight_klf = (bw_in * h_in / 144.0) * concrete_pcf / 1000.0
    wD_klf = D_psf * tributary_ft / 1000.0 + self_weight_klf
    wL_klf = L_psf * tributary_ft / 1000.0
    wu_klf = 1.2 * wD_klf + 1.6 * wL_klf
    Mu_kipft = wu_klf * span_ft**2 / 8.0
    Vu_kip = wu_klf * span_ft / 2.0

    fc_psi = fc_ksi * 1000.0
    fy_psi = fy_ksi * 1000.0
    a_in = As_in2 * fy_ksi / (0.85 * fc_ksi * bw_in)
    beta1 = max(0.65, min(0.85, 0.85 - 0.05 * max(0.0, (fc_psi - 4000.0) / 1000.0)))
    c_in = a_in / beta1
    et = 0.003 * (d_in - c_in) / c_in if c_in > 0 else 0.0
    if et >= 0.005:
        phi = 0.90
    else:
        phi = max(0.65, min(0.90, 0.65 + (et - 0.002) * 250.0 / 3.0))
    Mn_kipft = As_in2 * fy_ksi * (d_in - a_in / 2.0) / 12.0
    phiMn_kipft = phi * Mn_kipft

    rho_min = max(3.0 * math.sqrt(fc_psi) / fy_psi, 200.0 / fy_psi)
    As_min_in2 = rho_min * bw_in * d_in

    Vc_kip = 2.0 * math.sqrt(fc_psi) * bw_in * d_in / 1000.0
    phiVc_kip = 0.75 * Vc_kip

    def q(value: float) -> float:
        return round(value, 6)

    return {
        "tool": "concrete_beam2",
        "version": "0.1",
        "project": inp.get("project", ""),
        "prepared_by": inp.get("prepared_by", ""),
        "values": {
            "span_ft": q(span_ft),
            "tributary_ft": q(tributary_ft),
            "D_psf": q(D_psf),
            "L_psf": q(L_psf),
            "self_weight_klf": q(self_weight_klf),
            "wD_klf": q(wD_klf),
            "wL_klf": q(wL_klf),
            "wu_klf": q(wu_klf),
            "Mu_kipft": q(Mu_kipft),
            "Vu_kip": q(Vu_kip),
            "bw_in": q(bw_in),
            "h_in": q(h_in),
            "d_in": q(d_in),
            "fc_ksi": q(fc_ksi),
            "fy_ksi": q(fy_ksi),
            "As_in2": q(As_in2),
            "a_in": q(a_in),
            "et": q(et),
            "phi": q(phi),
            "Mn_kipft": q(Mn_kipft),
            "phiMn_kipft": q(phiMn_kipft),
            "As_min_in2": q(As_min_in2),
            "Vc_kip": q(Vc_kip),
            "phiVc_kip": q(phiVc_kip),
        },
        "checks": {
            "flexure": {
                "demand": q(Mu_kipft),
                "capacity": q(phiMn_kipft),
                "ok": Mu_kipft <= phiMn_kipft,
            },
            "minimum_steel": {
                "demand": q(As_min_in2),
                "capacity": q(As_in2),
                "ok": As_in2 >= As_min_in2,
            },
            "shear": {
                "demand": q(Vu_kip),
                "capacity": q(phiVc_kip),
                "ok": Vu_kip <= phiVc_kip,
            },
        },
    }


def write_results(result: dict, path: Path) -> None:
    path.write_text(json.dumps(result, indent=2) + "\n", encoding="utf-8")


def main() -> int:
    input_path = Path(sys.argv[1]) if len(sys.argv) > 1 else HERE / "input.yaml"
    output_path = Path(sys.argv[2]) if len(sys.argv) > 2 else input_path.with_name("results.json")
    with input_path.open(encoding="utf-8") as handle:
        inp = yaml.safe_load(handle)
    result = compute(inp)
    write_results(result, output_path)
    print(output_path)
    return 0


if __name__ == "__main__":
    raise SystemExit(main())