pyrcb 0.1.2

A Python library for concrete beam analysis and design

concrete-beam

A Python library for concrete beam analysis and design.

Installation

From Source (Development)

Clone the repository and install in development mode:

git clone https://github.com/alexiusacademia/concrete-beam.git
cd concrete-beam
pip install -e ".[dev]"

From PyPI (Once Published)

pip install pyrcb

Usage

Basic Example: Calculate Steel Stresses

Calculate stresses in multiple layers of reinforcement steel:

from pyrcb import calculate_steel_stresses

# Beam parameters
neutral_axis_depth = 100  # mm (depth of neutral axis from compression face)
steel_depths = [50, 100, 150]  # mm (effective depths of each steel layer)
yield_stress = 400  # MPa (steel yield strength)

# Calculate stresses (far end steel at 150mm will yield)
stresses = calculate_steel_stresses(
    neutral_axis_depth=neutral_axis_depth,
    steel_depths=steel_depths,
    yield_stress=yield_stress
)

print(f"Steel stresses: {stresses} MPa")
# Output: Steel stresses: [elastic_stress_1, elastic_stress_2, 400.0] MPa

Example: Calculate Compression Block Height

Determine the compression block height when far end steel yields:

from pyrcb import calculate_compression_block_height

# Beam parameters
far_end_depth = 500  # mm (effective depth of far end steel)
yield_stress = 400  # MPa

# Calculate compression block height (neutral axis depth)
c = calculate_compression_block_height(
    far_end_depth=far_end_depth,
    yield_stress=yield_stress
)

print(f"Compression block height (C): {c:.2f} mm")

Complete Example: Beam Analysis

Analyze a reinforced concrete beam with multiple steel layers:

from pyrcb import (
    calculate_compression_block_height,
    calculate_steel_stresses,
)

# Beam geometry
beam_depth = 600  # mm
cover = 40  # mm
steel_layers = 3
layer_spacing = 50  # mm

# Calculate effective depths for each steel layer
steel_depths = [
    cover + i * layer_spacing for i in range(steel_layers)
]
far_end_depth = steel_depths[-1]

# Material properties
yield_stress = 400  # MPa (Grade 60 steel)
elastic_modulus = 200000  # MPa
concrete_strain = 0.003  # Maximum concrete strain

# Step 1: Calculate compression block height assuming far end yields
c = calculate_compression_block_height(
    far_end_depth=far_end_depth,
    yield_stress=yield_stress,
    elastic_modulus=elastic_modulus,
    concrete_strain=concrete_strain,
)

print(f"Neutral axis depth (C): {c:.2f} mm")

# Step 2: Calculate stresses in all steel layers
stresses = calculate_steel_stresses(
    neutral_axis_depth=c,
    steel_depths=steel_depths,
    yield_stress=yield_stress,
    elastic_modulus=elastic_modulus,
    concrete_strain=concrete_strain,
)

# Display results
print("\nSteel Layer Analysis:")
for i, (depth, stress) in enumerate(zip(steel_depths, stresses), 1):
    status = "YIELDED" if stress >= yield_stress else "ELASTIC"
    print(f"  Layer {i} (d={depth}mm): {stress:.2f} MPa - {status}")

Development

Setup

pip install -e ".[dev]"

Running Tests

pytest

Code Formatting

black src/
ruff check src/

Examples

See the examples directory for complete working examples.

First, make sure you've installed the package in development mode (see Installation above), then run:

python examples/basic_usage.py

The examples demonstrate:

• Calculating steel stresses in multiple layers
• Determining compression block height
• Complete beam analysis workflows

Contributing

Contributions are welcome! Please read our Contributing Guide for details on our code of conduct and the process for submitting pull requests.

License

MIT License - see LICENSE file for details.