Good day, I am new in to sympy and it looks to be the suitable one for my 
PhD. I have been working on my analytical work.

I now want try to plot and it seem not working for me. Can someone guide me 
or help how to turn expression which include i-th term and integral to 
change to numerical.

attached is sympy file.

Thank you. 

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#!/usr/bin/env python
# coding: utf-8

# ## CHS Geometrical Parameters

# ![image.png](attachment:image.png)

# ## Assuming $A_{1} = A_{2}$ are areas obtain from deformed pipe relative to $\delta$
# Make new equation, eq_A =$A_{1} - A_{2}$

# ## Assuming $S_{1} = S_{2}$  +  $S_3 $ are equal lengths
# New equation, $S$ = $S_{1}$ - $S_{2}$ - $S_3 $

# Assuming $s_{1} + s_{2}  +  s_3 $ = $\pi R_0$
# 
# New equation, C = $s_{1} + s_{2}  +  s_3  - \pi R_0$

# ### Calculating Plastic Bending Moment Capacity $M_{p}$

# ##### $EI$ is the Flexural Stiffness of CHS Steel pipe

# ##### $\omega_{i}$ defining the $i^{th}$ angular frequency of the Natural Vibration

# #### The Elastic Global Displacement   $w_{g,e}$ = $expr3$

# ### Plastic Global Displacement $(w_{g,p})$ using Energy approach 

# find the  Velocity of the drop weight at the time, $~t~$

# Define the Kinematic Energy of the CHS steel pipe

# #### Globa Plastic Displacement, $w_{g,p}$ 

# *Determine the Total deflection at the Impaction location, $(w_{t})$ (equal the Displacement for the indenter)*
# 
# 

# Calculate and Evaluate $w_{g}$, the Global Displacement

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