Create a Partial Cylindrical Surface With Manim

A cylindrical surface of radius radius 4 and axis on the xz-plane and at a distance of 1.5 units from the xy-plane. The thickness of the cylinder is 4 units and the curvilinear length is half the circle.

I use the following code to animate the curved beam in the derivation of bending stress. If you are interested about flexural stress, you can watch the whole video here: https://www.youtube.com/watch?v=5LXEHkeL8Ck&t=86s. You can jump to 3:30 if you are only interested to how this was implemented to the video.

from manimlib.imports import *

class PartialCylinder(ThreeDScene):
    def construct(self):
        # Call the xyz-axes
        xyz = ThreeDAxes()
        
        # Define surface attributes. Note: TAU = 2*PI
        CylSurf = ParametricSurface(
            self.CylindricalSurface,
            u_min=PI,
            u_max=TAU,
            v_min=-2,
            v_max=2,
            resolution=(15,7)
        ).set_fill(opacity=0.8)
    
        # Initialize camera to show the xz-plane
        self.set_camera_orientation(phi=90*DEGREES, theta=-90*DEGREES)

        # Create the surface together with the xyz-axes
        self.play(ShowCreation(CylSurf), ShowCreation(xyz), run_time=2)
        self.wait(1)

        # Rotate Camera
        self.move_camera(phi=60*DEGREES,theta=-60*DEGREES,run_time=3)
        self.begin_ambient_camera_rotation(rate=0.2)
        self.wait(8)

    # Parametric Equation of Cylindrical surface with axis parallel to 
    # and 1.5 units above the xy-plane
    def CylindricalSurface(self, u, v):
        return [ 4*np.cos(u), v, 4*np.sin(u) + 1.5 ]

Output video:

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