Initial commit

app.py

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+import sympy as sp
+import numpy as np
+import pandas as pd
+import gradio as gr
+
+def solve_beam(l1_val, l2_val, q1_val, q2_val):
+    # Define the variables
+    Mx, l1, l2, q1, q2 = sp.symbols('Mx l1 l2 q1 q2')
+
+    # Equation to solve for Mx
+    equation = (Mx*l1/3 + q1*l1**3/24 + Mx*l2/3 + q2*l2**3/24)
+    Mx_solution = sp.solve(equation, Mx)
+
+    # Define variables for reactions
+    VA, VB1, VB2, VC, HA = sp.symbols('VA VB1 VB2 VC HA')
+
+    # System of equations for the first span
+    eq1_span1 = VA + VB1 - q1*l1
+    eq2_span1 = VB1*l1 - q1*l1**2/2 + Mx_solution[0]
+
+    # System of equations for the second span
+    eq1_span2 = VB2 + VC - q2*l2
+    eq2_span2 = VB2*l2 - q2*l2**2/2 + Mx_solution[0]
+
+    # Solve for the reactions for the first span
+    reactions_span1 = sp.solve((eq1_span1, eq2_span1), (VA, VB1))
+
+    # Solve for the reactions for the second span
+    reactions_span2 = sp.solve((eq1_span2, eq2_span2), (VB2, VC))
+
+    # Define variables for positions on the spans
+    x1, x2 = sp.symbols('x1 x2')
+
+    # Bending moment and shear for the first span
+    M1_expr = reactions_span1[VA] * x1 - q1 * x1**2 / 2
+    V1_expr = reactions_span1[VA] - q1 * x1
+
+    # Bending moment and shear for the second span
+    M2_expr = Mx_solution[0] - q2 * x2**2 / 2 + reactions_span2[VB2] * x2
+    V2_expr = reactions_span2[VB2] - q2 * x2
+
+    # Substitute the provided numerical values into the expressions
+    M1_expr = M1_expr.subs({l1: l1_val, q1: q1_val, l2: l2_val, q2: q2_val})
+    V1_expr = V1_expr.subs({l1: l1_val, q1: q1_val, l2: l2_val, q2: q2_val})
+    M2_expr = M2_expr.subs({l1: l1_val, q1: q1_val, l2: l2_val, q2: q2_val})
+    V2_expr = V2_expr.subs({l1: l1_val, q1: q1_val, l2: l2_val, q2: q2_val})
+    Mx_value = Mx_solution[0].subs({l1: l1_val, q1: q1_val, l2: l2_val, q2: q2_val})
+
+    # Generate numerical values for x1 and x2
+    x1_vals = np.arange(0, l1_val, 0.1)
+    x2_vals = np.arange(0, l2_val, 0.1)
+
+    # Evaluate M1 and V1 at each x1
+    M1_vals = [float(M1_expr.subs(x1, val)) for val in x1_vals]
+    V1_vals = [float(V1_expr.subs(x1, val)) for val in x1_vals]
+
+    # Evaluate M2 and V2 at each x2
+    M2_vals = [float(M2_expr.subs(x2, val)) for val in x2_vals]
+    V2_vals = [float(V2_expr.subs(x2, val)) for val in x2_vals]
+
+    # Create dataframes for beam1 and beam2
+    beam1 = pd.DataFrame({'x': x1_vals, 'M': M1_vals, 'V': V1_vals})
+    beam2 = pd.DataFrame({'x': x2_vals + l1_val, 'M': M2_vals, 'V': V2_vals})
+
+    # Concatenate beam1 and beam2 into one dataframe
+    beam = pd.concat([beam1, beam2], ignore_index=True)
+    
+    return beam
+
+def main(l1, l2, q1, q2):
+    beam_df = solve_beam(l1, l2, q1, q2)
+    csv_file = 'beam_analysis.csv'
+    beam_df.to_csv(csv_file, index=False)
+    return beam_df, csv_file
+
+inputs = [
+    gr.components.Number(label="Length of span 1 (l1)"),
+    gr.components.Number(label="Length of span 2 (l2)"),
+    gr.components.Number(label="Load on span 1 (q1)"),
+    gr.components.Number(label="Load on span 2 (q2)")
+]
+
+outputs = [
+    gr.components.Dataframe(label="Beam Analysis Data"),
+    gr.components.File(label="Download CSV")
+]
+
+gr.Interface(fn=main, inputs=inputs, outputs=outputs, title="Beam Analysis Tool").launch()

requirements.txt

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+gradio
+pandas
+numpy
+sympy