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Build error
File size: 2,745 Bytes
4c63950 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 | import numpy as np
import matplotlib.pyplot as plt
# Function to calculate results for simply supported beams or continuous beams
def analyze_beam(length, load, beam_type):
if beam_type == "simply_supported":
return analyze_simply_supported(length, load)
elif beam_type == "continuous":
return analyze_continuous(length, load)
# Simply supported beam analysis
def analyze_simply_supported(length, load):
# Simplified calculation example for a uniformly loaded simply supported beam
shear_force = load * length / 2 # Max shear force (at supports)
bending_moment = load * length**2 / 8 # Max bending moment (at mid-span)
deflection = (5 * load * length**4) / (384 * 200000 * 100) # Example deflection formula for steel (in inches)
return {
"max_shear": shear_force,
"max_bending_moment": bending_moment,
"deflection": deflection
}
# Continuous beam analysis (simplified example)
def analyze_continuous(length, load):
# Continuous beam analysis (simplified)
shear_force = load * length / 3 # Approximation for continuous beams
bending_moment = load * length**2 / 12 # Approximation for continuous beams
deflection = (5 * load * length**4) / (384 * 200000 * 100) # Same deflection calculation as simply supported
return {
"max_shear": shear_force,
"max_bending_moment": bending_moment,
"deflection": deflection
}
# Function to plot beam diagrams (SFD and BMD)
def plot_beam_diagrams(beam_type, length, load):
x = np.linspace(0, length, 100)
shear = np.zeros_like(x)
moment = np.zeros_like(x)
if beam_type == "simply_supported":
# Shear Force and Bending Moment Diagrams for simply supported beam
shear[:] = load / 2 # Simplified constant shear force
moment[:] = (load * x * (length - x)) / (2 * length) # Bending moment equation for simply supported beam
elif beam_type == "continuous":
# Shear Force and Bending Moment Diagrams for continuous beam
shear[:] = load / 3 # Simplified constant shear force for continuous beam
moment[:] = (load * x * (length - x)) / (3 * length) # Approximation for continuous beam
# Plot the diagrams
fig, (ax1, ax2) = plt.subplots(2, 1, figsize=(10, 8))
ax1.plot(x, shear, label="Shear Force")
ax1.set_title("Shear Force Diagram (SFD)")
ax1.set_xlabel("Beam Length (ft)")
ax1.set_ylabel("Shear Force (lb)")
ax1.grid(True)
ax2.plot(x, moment, label="Bending Moment", color="orange")
ax2.set_title("Bending Moment Diagram (BMD)")
ax2.set_xlabel("Beam Length (ft)")
ax2.set_ylabel("Bending Moment (lb-ft)")
ax2.grid(True)
plt.tight_layout()
plt.show()
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