diff --git a/concrete-beam/assets/beam-section.typ b/concrete-beam/assets/beam-section.typ deleted file mode 100644 index e5d2a3b..0000000 --- a/concrete-beam/assets/beam-section.typ +++ /dev/null @@ -1,28 +0,0 @@ -// Generated by beam_section.py from input.yaml - do not edit by hand. -#let beam-section() = { - box(width: 180pt, height: 180pt)[ - #place(dx: 48pt, dy: 28pt, rect(width: 76pt, height: 114pt, fill: rgb("#f2f2f2"), stroke: 1pt + black)) - #place(dx: 58.5pt, dy: 38.5pt, rect(width: 55pt, height: 93pt, radius: 3pt, stroke: 2pt + black)) - #place(dx: 59.5pt, dy: 124.6pt, circle(radius: 2.969pt, fill: black)) - #place(dx: 106.6pt, dy: 124.6pt, circle(radius: 2.969pt, fill: black)) - #place(dx: 59.5pt, dy: 39.5pt, circle(radius: 2.375pt, fill: black)) - #place(dx: 107.8pt, dy: 39.5pt, circle(radius: 2.375pt, fill: black)) - #place(line(start: (48pt, 158pt), end: (124pt, 158pt), stroke: 0.6pt + black)) - #place(line(start: (48pt, 155pt), end: (48pt, 161pt), stroke: 0.6pt + black)) - #place(line(start: (124pt, 155pt), end: (124pt, 161pt), stroke: 0.6pt + black)) - #place(dx: 48pt, dy: 161pt, box(width: 76pt, align(center, text(size: 7pt)[$b_w = 8 " in"$]))) - #place(line(start: (42pt, 28pt), end: (42pt, 142pt), stroke: 0.6pt + black)) - #place(line(start: (39pt, 28pt), end: (45pt, 28pt), stroke: 0.6pt + black)) - #place(line(start: (39pt, 142pt), end: (45pt, 142pt), stroke: 0.6pt + black)) - #place(dx: 0.5pt, dy: 82pt, text(size: 7pt)[$h = 12 " in"$]) - #place(line(start: (110.1pt, 41.88pt), end: (129pt, 42pt), stroke: 0.5pt + rgb("#626b73"))) - #place(dx: 108.6pt, dy: 40.38pt, circle(radius: 1.5pt, fill: black)) - #place(dx: 132pt, dy: 37pt, text(size: 7pt)[2 No. 4 hanger \ bars]) - #place(line(start: (113.5pt, 85pt), end: (129pt, 82pt), stroke: 0.5pt + rgb("#626b73"))) - #place(dx: 112pt, dy: 83.5pt, circle(radius: 1.5pt, fill: black)) - #place(dx: 132pt, dy: 77pt, text(size: 7pt)[No. 3 stirrup \ at 6 in o.c.]) - #place(line(start: (109.5pt, 127.5pt), end: (129pt, 128pt), stroke: 0.5pt + rgb("#626b73"))) - #place(dx: 108pt, dy: 126pt, circle(radius: 1.5pt, fill: black)) - #place(dx: 132pt, dy: 123pt, text(size: 7pt)[2 No. 5 bottom \ $A_s = 0.6136 " in"^2$]) - ] -} diff --git a/concrete-beam/beam_section.py b/concrete-beam/beam_section.py deleted file mode 100644 index bff3c6a..0000000 --- a/concrete-beam/beam_section.py +++ /dev/null @@ -1,181 +0,0 @@ -from __future__ import annotations - -import sys -from pathlib import Path - - -HERE = Path(__file__).resolve().parent - -SCALE = 9.5 # points per inch -LEFT = 48.0 -RIGHT = 56.0 -TOP = 28.0 -BOTTOM = 38.0 - -STIRRUP_STROKE = 2.0 # drawn stirrup line width, points -STIRRUP_RADIUS = 3.0 # drawn stirrup corner radius, points -DRAW_COVER = 1.0 # schematic cover shown in the drawing, inches - -MUTED = 'rgb("#626b73")' - - -def _f(value: float) -> str: - return f"{value:.4g}" - - -def _centers(size: float, number: int, bw: float, edge: float) -> list[float]: - half = size / 2.0 - left = edge + half - right = bw - left - if number == 1: - return [bw / 2.0] - return [left + index * (right - left) / (number - 1) for index in range(number)] - - -def render(values: dict) -> str: - s = SCALE - bw = float(values["bw"]) - h = float(values["h"]) - stirrup_size = int(values["stirrup_size"]) - stirrup_spacing = float(values["stirrup_spacing"]) - bar_size = int(values["bar_size"]) - bar_db = float(values["bar_db"]) - n_bars = int(values["n_bars"]) - top_bar_size = int(values["top_bar_size"]) - top_bar_db = float(values["top_bar_db"]) - n_top_bars = int(values["n_top_bars"]) - As = float(values["As"]) - - w_sec = bw * s - h_sec = h * s - width = LEFT + w_sec + RIGHT - height = TOP + h_sec + BOTTOM - ox = LEFT - oy = TOP - - def sx(x_in: float) -> float: - return ox + x_in * s - - def sy(y_in: float) -> float: - return oy + (h - y_in) * s - - edge = DRAW_COVER + STIRRUP_STROKE / s - inset = DRAW_COVER + STIRRUP_STROKE / s / 2.0 - y_bottom = edge + bar_db / 2.0 - bottom = _centers(bar_db, n_bars, bw, edge) - top_y = h - (edge + top_bar_db / 2.0) - top = _centers(top_bar_db, n_top_bars, bw, edge) - - lines: list[str] = [] - add = lines.append - add("// Generated by beam_section.py from input.yaml - do not edit by hand.") - add("#let beam-section() = {") - add(f" box(width: {_f(width)}pt, height: {_f(height)}pt)[") - - add( - f" #place(dx: {_f(ox)}pt, dy: {_f(oy)}pt, " - f'rect(width: {_f(w_sec)}pt, height: {_f(h_sec)}pt, fill: rgb("#f2f2f2"), stroke: 1pt + black))' - ) - add( - f" #place(dx: {_f(sx(inset))}pt, dy: {_f(sy(h - inset))}pt, " - f"rect(width: {_f((bw - 2.0 * inset) * s)}pt, height: {_f((h - 2.0 * inset) * s)}pt, " - f"radius: {_f(STIRRUP_RADIUS)}pt, stroke: {_f(STIRRUP_STROKE)}pt + black))" - ) - - for x_in in bottom: - r = bar_db / 2.0 * s - add( - f" #place(dx: {_f(sx(x_in) - r)}pt, dy: {_f(sy(y_bottom) - r)}pt, " - f"circle(radius: {_f(r)}pt, fill: black))" - ) - for x_in in top: - r = top_bar_db / 2.0 * s - add( - f" #place(dx: {_f(sx(x_in) - r)}pt, dy: {_f(sy(top_y) - r)}pt, " - f"circle(radius: {_f(r)}pt, fill: black))" - ) - - dim_y = oy + h_sec + 16.0 - add( - f" #place(line(start: ({_f(ox)}pt, {_f(dim_y)}pt), end: ({_f(ox + w_sec)}pt, {_f(dim_y)}pt), " - f"stroke: 0.6pt + black))" - ) - for tick in (ox, ox + w_sec): - add( - f" #place(line(start: ({_f(tick)}pt, {_f(dim_y - 3)}pt), end: ({_f(tick)}pt, {_f(dim_y + 3)}pt), " - f"stroke: 0.6pt + black))" - ) - add( - f" #place(dx: {_f(ox)}pt, dy: {_f(dim_y + 3)}pt, " - f'box(width: {_f(w_sec)}pt, align(center, text(size: 7pt)[$b_w = {_f(bw)} " in"$])))' - ) - - x_h = ox - 6.0 - add( - f" #place(line(start: ({_f(x_h)}pt, {_f(oy)}pt), end: ({_f(x_h)}pt, {_f(oy + h_sec)}pt), " - f"stroke: 0.6pt + black))" - ) - for tick in (oy, oy + h_sec): - add( - f" #place(line(start: ({_f(x_h - 3)}pt, {_f(tick)}pt), end: ({_f(x_h + 3)}pt, {_f(tick)}pt), " - f"stroke: 0.6pt + black))" - ) - add( - f" #place(dx: 0.5pt, dy: {_f(oy + h_sec / 2.0 - 3)}pt, " - f'text(size: 7pt)[$h = {_f(h)} " in"$])' - ) - - label_x = ox + w_sec + 8.0 - lead_x = ox + w_sec + 5.0 - - def leader(fx: float, fy: float, lx: float, ly: float) -> None: - add( - f" #place(line(start: ({_f(fx)}pt, {_f(fy)}pt), end: ({_f(lx)}pt, {_f(ly)}pt), " - f"stroke: 0.5pt + {MUTED}))" - ) - add(f" #place(dx: {_f(fx - 1.5)}pt, dy: {_f(fy - 1.5)}pt, circle(radius: 1.5pt, fill: black))") - - leader(sx(top[-1]), sy(top_y), lead_x, oy + 14.0) - add( - f" #place(dx: {_f(label_x)}pt, dy: {_f(oy + 9)}pt, " - f"text(size: 7pt)[{n_top_bars} No. {top_bar_size} hanger \\ bars])" - ) - - leader(sx(bw - inset), sy(h / 2.0), lead_x, oy + h_sec / 2.0 - 3.0) - add( - f" #place(dx: {_f(label_x)}pt, dy: {_f(oy + h_sec / 2.0 - 8)}pt, " - f"text(size: 7pt)[No. {stirrup_size} stirrup \\ at {_f(stirrup_spacing)} in o.c.])" - ) - - leader(sx(bottom[-1]), sy(y_bottom), lead_x, oy + h_sec - 14.0) - add( - f" #place(dx: {_f(label_x)}pt, dy: {_f(oy + h_sec - 19)}pt, " - f'text(size: 7pt)[{n_bars} No. {bar_size} bottom \\ $A_s = {_f(As)} " in"^2$])' - ) - - add(" ]") - add("}") - return "\n".join(lines) + "\n" - - -def write_fragment(values: dict, path: Path) -> None: - path.write_text(render(values), encoding="utf-8") - - -def main(argv: list[str] | None = None) -> int: - argv = sys.argv[1:] if argv is None else argv - input_path = Path(argv[0]) if argv else HERE / "input.yaml" - output_path = Path(argv[1]) if len(argv) > 1 else HERE / "assets" / "beam-section.typ" - - import yaml - import calc - - with input_path.open(encoding="utf-8") as handle: - result = calc.compute(yaml.safe_load(handle)) - write_fragment(result["values"], output_path) - print(output_path) - return 0 - - -if __name__ == "__main__": - raise SystemExit(main()) diff --git a/concrete-beam/calc.py b/concrete-beam/calc.py index 7c8fe95..86a1b08 100644 --- a/concrete-beam/calc.py +++ b/concrete-beam/calc.py @@ -36,23 +36,6 @@ def quantity(value, unit: str, name: str) -> float: return magnitude -def count(value, name: str, minimum: int = 1) -> int: - try: - number = int(value) - except (TypeError, ValueError) as exc: - raise ValueError(f"{name}: expected an integer, got {value!r}") from exc - if number < minimum: - raise ValueError(f"{name} must be >= {minimum}") - return number - - -def bar_number(value, name: str) -> int: - number = count(value, name, minimum=3) - if number > 18: - raise ValueError(f"{name} must be between 3 and 18") - return number - - def compute(inp: dict) -> dict: span = quantity(inp["span"], "ft", "span") tributary = quantity(inp["tributary"], "ft", "tributary") @@ -63,19 +46,8 @@ def compute(inp: dict) -> dict: d = quantity(inp["d"], "in", "d") fc = quantity(inp["fc"], "ksi", "fc") fy = quantity(inp["fy"], "ksi", "fy") + As = quantity(inp["As"], "in**2", "As") concrete_density = quantity(inp["concrete_density"], "pcf", "concrete_density") - cover = quantity(inp["cover"], "in", "cover") - stirrup_size = bar_number(inp["stirrup_size"], "stirrup_size") - stirrup_spacing = quantity(inp["stirrup_spacing"], "in", "stirrup_spacing") - bar_size = bar_number(inp["bar_size"], "bar_size") - n_bars = count(inp["n_bars"], "n_bars") - top_bar_size = bar_number(inp["top_bar_size"], "top_bar_size") - n_top_bars = count(inp["n_top_bars"], "n_top_bars") - - stirrup_db = stirrup_size / 8.0 - bar_db = bar_size / 8.0 - top_bar_db = top_bar_size / 8.0 - As = n_bars * math.pi * bar_db**2 / 4.0 self_weight = (bw * h / 144.0) * concrete_density / 1000.0 wD = D * tributary / 1000.0 + self_weight @@ -101,14 +73,6 @@ def compute(inp: dict) -> dict: Vc = 2.0 * math.sqrt(fc * 1000.0) * bw * d / 1000.0 phiVc = 0.75 * Vc - bottom_centroid = h - d - min_bottom_centroid = cover + stirrup_db + bar_db / 2.0 - if bottom_centroid < min_bottom_centroid: - raise ValueError("effective depth d is too large for the specified cover and bars") - inner_width = bw - 2.0 * (cover + stirrup_db) - if n_bars * bar_db > inner_width: - raise ValueError("bottom bars do not fit within the stirrup width") - def q(value: float) -> float: return round(value, 6) @@ -142,16 +106,6 @@ def compute(inp: dict) -> dict: "As_min": q(As_min), "Vc": q(Vc), "phiVc": q(phiVc), - "cover": q(cover), - "stirrup_size": stirrup_size, - "stirrup_spacing": q(stirrup_spacing), - "stirrup_db": q(stirrup_db), - "bar_size": bar_size, - "n_bars": n_bars, - "bar_db": q(bar_db), - "top_bar_size": top_bar_size, - "n_top_bars": n_top_bars, - "top_bar_db": q(top_bar_db), }, "checks": { "flexure": { @@ -177,17 +131,6 @@ def write_results(result: dict, path: Path) -> None: path.write_text(json.dumps(result, indent=2) + "\n", encoding="utf-8") -def _load_section_module(): - import importlib.util - - spec = importlib.util.spec_from_file_location("beam_section", HERE / "beam_section.py") - if spec is None or spec.loader is None: - raise SystemExit("Could not load beam_section.py") - module = importlib.util.module_from_spec(spec) - spec.loader.exec_module(module) - return module - - 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") @@ -196,9 +139,6 @@ def main() -> int: result = compute(inp) write_results(result, output_path) print(output_path) - section_path = HERE / "assets" / "beam-section.typ" - _load_section_module().write_fragment(result["values"], section_path) - print(section_path) return 0 diff --git a/concrete-beam/concrete-beam.pdf b/concrete-beam/concrete-beam.pdf index 7e978bc..da76c99 100644 --- a/concrete-beam/concrete-beam.pdf +++ b/concrete-beam/concrete-beam.pdf @@ -2,693 +2,674 @@ % 1 0 obj -<> +<> endobj 2 0 obj -<> +<> endobj 3 0 obj -<> +<> endobj 4 0 obj -<> +<> endobj 5 0 obj -<> +<> endobj 6 0 obj -<> +<> endobj 7 0 obj -<> +<>/K[177 0 R]/ParentTree<>/ParentTreeNextKey 2>> endobj 8 0 obj -<>/K[187 0 R]/ParentTree<>/ParentTreeNextKey 2>> +[10 0 R 12 0 R 11 0 R 12 0 R 12 0 R 16 0 R 16 0 R 17 0 R 21 0 R 13 0 R 25 0 R 26 0 R 26 0 R 26 0 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Numbers come from `calc caption: [#n.span ft simply supported beam, #n.bw in × #n.h in rectangular section.], ) -== Section and Reinforcement - -#align(right, block(width: 2.5in, figure( - beam-section(), - caption: [Beam cross-section], -))) - == Loads and Beam Demand #calcline([$L = #n.span " ft"$], [Simple span]) @@ -72,7 +64,7 @@ Simple-span rectangular beam under uniform gravity load. Numbers come from `calc #calcline([$d = #n.d " in"$], [Effective depth]) #calcline([$f'_c = #n.fc " ksi"$], [Concrete compressive strength]) #calcline([$f_y = #n.fy " ksi"$], [Steel yield strength]) -#calcline([$A_s = #n.As " in"^2$], [Provided tension steel (#n.n_bars No. #n.bar_size)]) +#calcline([$A_s = #n.As " in"^2$], [Provided tension steel (2 No. 5)]) #calcline( [$a = A_s f_y / (0.85 f'_c b_w) = #round(n.a, digits: 3) " in"$], [Equivalent compression-block depth], diff --git a/concrete-beam/input.yaml b/concrete-beam/input.yaml index b6fc292..698db78 100644 --- a/concrete-beam/input.yaml +++ b/concrete-beam/input.yaml @@ -1,42 +1,15 @@ -# Project name shown in the Typst report header. project: "Deer Creek Shoring" -# Person or organization shown in the Typst report footer. prepared_by: "Conemco Engineering" -# Simple span used for the moment and shear demands. span: "16 ft" -# Tributary width carried by the beam. tributary: "6.25 ft" -# Dead load including superimposed dead (psf). D: "55 psf" -# Live load (psf). L: "20 psf" -# Beam web width b_w. bw: "8 in" -# Overall beam depth h. h: "12 in" -# Effective depth to the tension-steel centroid, used for flexure. d: "9.5 in" -# Concrete compressive strength f'_c. fc: "3.0 ksi" -# Steel yield strength f_y. fy: "60 ksi" -# Concrete unit weight used for the beam self-weight. +As: "0.62 in**2" concrete_density: "150 pcf" -# Factored load combination applied to the demands. load_combination: "1.2D + 1.6L" - -# Clear cover from the concrete face to the stirrup. -cover: "1.5 in" -# Stirrup bar number (#3). -stirrup_size: 3 -# Stirrup spacing along the span, on center. -stirrup_spacing: "6 in" -# Bottom (tension) longitudinal bar number (#5). -bar_size: 5 -# Number of bottom longitudinal bars. -n_bars: 2 -# Top (hanger) longitudinal bar number (#4). -top_bar_size: 4 -# Number of top hanger bars. -n_top_bars: 2 diff --git a/concrete-beam/results.json b/concrete-beam/results.json index 9ca010d..db84d98 100644 --- a/concrete-beam/results.json +++ b/concrete-beam/results.json @@ -19,35 +19,25 @@ "d": 9.5, "fc": 3.0, "fy": 60.0, - "As": 0.613592, - "a": 1.804683, - "et": 0.010423, + "As": 0.62, + "a": 1.823529, + "et": 0.010285, "phi": 0.9, - "Mn": 26.377285, - "phiMn": 23.739557, + "Mn": 26.623529, + "phiMn": 23.961176, "As_min": 0.253333, "Vc": 8.325383, - "phiVc": 6.244037, - "cover": 1.5, - "stirrup_size": 3, - "stirrup_spacing": 6.0, - "stirrup_db": 0.375, - "bar_size": 5, - "n_bars": 2, - "bar_db": 0.625, - "top_bar_size": 4, - "n_top_bars": 2, - "top_bar_db": 0.5 + "phiVc": 6.244037 }, "checks": { "flexure": { "demand": 23.44, - "capacity": 23.739557, + "capacity": 23.961176, "ok": true }, "minimum_steel": { "demand": 0.253333, - "capacity": 0.613592, + "capacity": 0.62, "ok": true }, "shear": { diff --git a/concrete-beam/test_concrete_beam.py b/concrete-beam/test_concrete_beam.py index 9aa94d6..ad4ad51 100644 --- a/concrete-beam/test_concrete_beam.py +++ b/concrete-beam/test_concrete_beam.py @@ -1,6 +1,5 @@ from pathlib import Path import importlib.util -import math import pytest @@ -14,14 +13,6 @@ spec.loader.exec_module(calc_module) compute = calc_module.compute -def _load(name: str, filename: str): - spec = importlib.util.spec_from_file_location(name, HERE / filename) - assert spec is not None and spec.loader is not None - module = importlib.util.module_from_spec(spec) - spec.loader.exec_module(module) - return module - - @pytest.fixture def result(): import yaml @@ -40,10 +31,10 @@ def test_example_demands(result): def test_example_flexure(result): v = result["values"] - assert v["a"] == pytest.approx(1.804683, rel=1e-5) - assert v["et"] == pytest.approx(0.010423, rel=1e-3) + assert v["a"] == pytest.approx(1.823529, rel=1e-5) + assert v["et"] == pytest.approx(0.010283, rel=1e-3) assert v["phi"] == pytest.approx(0.9) - assert v["phiMn"] == pytest.approx(23.739557, rel=1e-5) + assert v["phiMn"] == pytest.approx(23.961176, rel=1e-5) assert result["checks"]["flexure"]["ok"] is True @@ -53,35 +44,3 @@ def test_example_min_steel_and_shear(result): assert v["phiVc"] == pytest.approx(6.244016, rel=1e-4) assert result["checks"]["minimum_steel"]["ok"] is True assert result["checks"]["shear"]["ok"] is True - - -def test_reinforcement_geometry(result): - v = result["values"] - assert v["cover"] == pytest.approx(1.5) - assert v["stirrup_size"] == 3 - assert v["stirrup_db"] == pytest.approx(0.375) - assert v["stirrup_spacing"] == pytest.approx(6.0) - assert v["bar_size"] == 5 - assert v["n_bars"] == 2 - assert v["bar_db"] == pytest.approx(0.625) - assert v["top_bar_size"] == 4 - assert v["n_top_bars"] == 2 - assert v["top_bar_db"] == pytest.approx(0.5) - assert v["As"] == pytest.approx(2 * math.pi * 0.625**2 / 4.0, rel=1e-6) - - -def test_rejects_depth_without_room_for_bars(): - import yaml - - with (HERE / "input.yaml").open(encoding="utf-8") as handle: - inp = yaml.safe_load(handle) - inp["d"] = "11.9 in" - with pytest.raises(ValueError): - compute(inp) - - -def test_section_fragment_is_current(result): - module = _load("beam_section", "beam_section.py") - expected = module.render(result["values"]) - actual = (HERE / "assets" / "beam-section.typ").read_text(encoding="utf-8") - assert actual == expected