Independent Researcher, BSc E, DULE, 1641 Sandy Point Rd, Saint John, NB, Canada E2K 5E8, Canada
Received date: May 30, 2017; Accepted date: August 16, 2017; Published date: August 24, 2017
Citation: Cusack PTE (2017) Universal Structural Mechanics. Fluid Mech Open Acc 4: 173. doi: 10.4172/2476-2296.1000173
Copyright: © 2017 Cusack PTE. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
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In this paper, we provide some interesting spot calculations from the Theory of Elastic Stability. Certain key constants of Cusack’s Astrotheology are derived from basic structural mechanics’ formula. No attempts for proofs are made. The reader is referred to Timoshenko and Gere’s classic book on stability. Proton Mass was determined to be within the margin of error.
Elastic stability; Astrotheology; Moment; Euler’s critical load; Golden mean parabola
Consider the beam column. Using our knowledge of Physical Constants derived in Astrotheology math, we can derive other variable, such as energy and time. The Super force is sin t. we begin with a column loaded with that Super force load. Then we move on to a beam column loaded laterally as well as axially. We end with Euler’s Critical load which allows us to derive the maximum mass in the periodic table of the elements (Figure 1).
Refer to Figure 1 showing cusack’s modulus k=cuz=0.4233.
θ=64.95°=1/0.1539=1/ (1-sin 1.0085 rads)
1.0085= Mass of H+
∫0-2π sin θ = |-cos θ |
Δt/dt=1 rad/ 1 sec.
sin 1=0.8415=1/118=1/M (Periodic Table of the elements)
EI d³y/dx³+ P dy/dx=-V  pg. 2
I=1/Y where Y=e-t cos (2πt) & t=1
EI d²M/dx²=-M .
(0.4233) (1/Y)(0.8415)=M= 1758=1.00735 ~Mass H+ (Figure 2).
d²y/dx²+k²y=-Qc x/ [EIl] 
-2.667c/[0.4233 × (1/Y) l] x
6.67 +127.6=127.6 cx/l
From the Golden mean parabola with roots -0.618 & 1.618
522=c ×52.91) /224
G+ 127.6= 2.667 c x /[(0.4233)(1/Y)(l)
6.67-1.27=2.667/ 0.4233 × x/ 0.202
Golden Mean parabola
y=Q sin k(l-c)/[P k sin (kl)] sin k(l-x) -Q (l-c)(l-x)/ Pl
y=sin 59.65/[√ 127.6 ×sin 253] - 522.531
Y=E= dM/dt × t
E=√4.482 × π
EI d²y/dt²=-Py 
F × d=Y=1/ 6.3=1585
t=1=E (Figure 3).
EI d²y/dx²=P(δ-y) 
119.6 ×943]/ 127.6=88.3=ε0
χu≫1 when u=≫0
χu≫∞ when u≫π/2
Mmax=-EI y'= M0 sec u
(0.4233)(1/Y)(0.8415)=M0 sec (π/2)
M0=1.7582=1.00762 = Mass H+
Pcritical= 4π4EI/l² 
2.667=4π4 =(0.4233)(1/0.202)/ l²
=√t critical=√(1.618+0.618)=1.4953~1.50=Mass Gap.
Proton Mass: Refer to Figure 4.
=Proton Mass (Figure 4).
The rigidity of the universe is the density, and the critical load is the Mass.
EI d4y/dx4 + P d3y/dx3 + q/g d2y2/dx2=0 
dM/dx=[EI +F]/G=[(0.4233)(6.3) + 2.6678]/ 6.67=0.799~0.8α 8
M=1/c4=1/81=0.12345679 Eight digits
Now Integrate wrt x or s:
∫dM/dx dx= 1/G [∫EI dx + ∫F dx]
M=1/G × E 4s5/5 +∫sin 60°
M=1/6.67× [(0)(0.4233)(4/3)5 /5 -cos 60°]
dM/dt ×ds/dt =dF/dt ×dd/dt+ dt/dt +C1
1641 + 1/c=1641 +33.3333=1674
In this paper, we provided some spot calculations using formula from elasticity stability theory. The beam column and the eccentricity loaded column can be used as a model for certain universal calculations. The rigidity of the universe is the density, and the critical load is the Mass. Perhaps those interested could find more in stability theory to explain Cusack’s model of the Universe.