from math import *

z = 12
sigma = 58000


d = 1.25
S = pi*d**3/32
F = sigma/z*S
print("Round: S=%.3f, F=%.3f" % (S,F))


b = 3/8
h = 4
S = b*h**2/6
F = sigma/z*S
print("Bar:   S=%.3f, F=%.3f" % (S,F))

b = 0.25
h = 3.0
d = 1.25

A_circle = pi/4*d**2
A_bar = b*h

I_circle = pi/64 * d**4
I_bar = b*h**3/12

y = b*h*(d/2+h/2)/(pi/4*d**2+b*h)

y_bar = (h+d)/2-y
y_circle = y

I_total = I_circle + A_circle*y_circle**2 + I_bar + A_bar*y_bar**2
c = d/2+h-y
S = I_total/c
F = sigma/z*S
print("Comp:  S=%.3f, F=%.3f" % (S,F))