*Corresponding Author: Paul T E Cusack, Email: St-michael@hotmail.com
RESEARCH ARTICLE
Available Online at www.ajms.in
Asian Journal of Mathematical Sciences 2017; 1(5):198-200
Cusack’s Universal Space-Truss &the Egyptian Pyramids
*Paul T E Cusack
*BScE, DULE, 1641 Sandy Point Rd., Saint John, NB, E2K 5E8 Canada
Received on: 19/07/2017, Revised on: 16/08/2017, Accepted on: 15/09/2017
ABSTRACT
Here we consider the three-dimensional space truss well known to civil engineers. We see that all the
universal parameters drop out of a static condition. I surmise that the ancient Egyptians knew this as
evidenced by their pyramids. The space truss is yet another way to analyze the static universe.
Keywords: Simple Truss; Space Truss; Golden Mean Parabola; Superforce. Astrotheology Math.
INTRODUCTION
Here we consider a simple two-dimensional planar truss that is under the load of the Superforce and is in
static equilibrium. We see, once again, that all the physical constants of the universe ensue from analysis.
In fact, this is just one of many models of the universe that is in static equilibrium. We will consider the
three-dimensional space truss. It has 5 joints and 8 members with 7 reactions (3j=m+r) . It is therefore in
static determinant (no waste) and stable. The Egyptian Pyramids are laid out in map view on the golden
mean parabola.
Figure 1 Cusack’s Simple Truss in Static Equilibrium
In the Space truss, we consider that the Superforce acts within 3-dimensions on the Ellipsoid Universe,
which is a 1 x 3 x 22 (3 x 8 x 66) Ellipsoid. (The universe is NOT a torus as previously hypothesized.)
The space truss is shown below in Figure 2. The member and reaction forces are:
Fz=0
F y=-21.3
Mx=21.3
My=1/sqrt 3
m3=0
m4=+21.3
m5=-0.707
m7=+0.707
m6=-150.5
Paul T E Cusack et al. Cusack’ s Universal Space-Truss &the Egyptian Pyramids
© 2017, AJMS. All Rights Reserved. 199
SUM Moment in the “x-z plane”=80.09=c^4 =1/1.25=1/Emin=t
Figure 2 Cusack’s Space Truss
Figure 3 Space Truss Equilibrium
Finally, consider that the author has already shown that the Pyramids are laid out on the Golden Mean
parabola.
F=-ks
2.667=-0.4233(s)
s=-6.29
-1/s=0.1587
-1/s=1-sin 1
Multiply by s
-1=s-sin 1 * s
sin 1=F=s
-1=s-s²
s²-s-1=0
Golden Mean Equation
Figure 4 Energy -time parabola Work and Energy
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Paul T E Cusack et al. Cusack’ s Universal Space-Truss &the Egyptian Pyramids
© 2017, AJMS. All Rights Reserved. 200
W=Fd
E=Wt=Fdt
=(2.667)(223.6)(2.336)
=1115
=1/c²
=E
E=Ft²
E=Mc²=Ft²=Fd=Moment=80.09 (Refer to Figure 3)
c²=d²/t²
d²=t4
d=t²
F/E=2.667/80.09=3.0033~c
E=ct²=dc=d²/t
d=√(|E|t)
=√[(1.25)(2.236)]
=1672
= Mass of a p+
CONCLUSION
The Egyptian pyramids-a model of the space truss - were a testimony that ancient mathematical
physicists and engineers knew these” secrets” of the Astro-theological model of the universe. Whether it
goes back to Babylon, I suspect it does. Therefore the Three -Wise-Men were so highly regarded in the
time of Christ at Bethlehem. They likely knew this physics. So did Jesus. Its encoded into the Hebrew
Scriptures viz. Genesis.
REFERENCES
1. Cusack, P., Astrotheology, Cusack’s Universe. J. of Physical Mathematics. Jan 2016.
2. Laursen, H. I Structural Analysis. McGraw Hill. 1969.
AJMS,
Sep-Oct,
2017,
Vol.
1,
Issue
5

3. simple truss.pdf

  • 1.
    *Corresponding Author: PaulT E Cusack, Email: St-michael@hotmail.com RESEARCH ARTICLE Available Online at www.ajms.in Asian Journal of Mathematical Sciences 2017; 1(5):198-200 Cusack’s Universal Space-Truss &the Egyptian Pyramids *Paul T E Cusack *BScE, DULE, 1641 Sandy Point Rd., Saint John, NB, E2K 5E8 Canada Received on: 19/07/2017, Revised on: 16/08/2017, Accepted on: 15/09/2017 ABSTRACT Here we consider the three-dimensional space truss well known to civil engineers. We see that all the universal parameters drop out of a static condition. I surmise that the ancient Egyptians knew this as evidenced by their pyramids. The space truss is yet another way to analyze the static universe. Keywords: Simple Truss; Space Truss; Golden Mean Parabola; Superforce. Astrotheology Math. INTRODUCTION Here we consider a simple two-dimensional planar truss that is under the load of the Superforce and is in static equilibrium. We see, once again, that all the physical constants of the universe ensue from analysis. In fact, this is just one of many models of the universe that is in static equilibrium. We will consider the three-dimensional space truss. It has 5 joints and 8 members with 7 reactions (3j=m+r) . It is therefore in static determinant (no waste) and stable. The Egyptian Pyramids are laid out in map view on the golden mean parabola. Figure 1 Cusack’s Simple Truss in Static Equilibrium In the Space truss, we consider that the Superforce acts within 3-dimensions on the Ellipsoid Universe, which is a 1 x 3 x 22 (3 x 8 x 66) Ellipsoid. (The universe is NOT a torus as previously hypothesized.) The space truss is shown below in Figure 2. The member and reaction forces are: Fz=0 F y=-21.3 Mx=21.3 My=1/sqrt 3 m3=0 m4=+21.3 m5=-0.707 m7=+0.707 m6=-150.5
  • 2.
    Paul T ECusack et al. Cusack’ s Universal Space-Truss &the Egyptian Pyramids © 2017, AJMS. All Rights Reserved. 199 SUM Moment in the “x-z plane”=80.09=c^4 =1/1.25=1/Emin=t Figure 2 Cusack’s Space Truss Figure 3 Space Truss Equilibrium Finally, consider that the author has already shown that the Pyramids are laid out on the Golden Mean parabola. F=-ks 2.667=-0.4233(s) s=-6.29 -1/s=0.1587 -1/s=1-sin 1 Multiply by s -1=s-sin 1 * s sin 1=F=s -1=s-s² s²-s-1=0 Golden Mean Equation Figure 4 Energy -time parabola Work and Energy AJMS, Sep-Oct, 2017, Vol. 1, Issue 5
  • 3.
    Paul T ECusack et al. Cusack’ s Universal Space-Truss &the Egyptian Pyramids © 2017, AJMS. All Rights Reserved. 200 W=Fd E=Wt=Fdt =(2.667)(223.6)(2.336) =1115 =1/c² =E E=Ft² E=Mc²=Ft²=Fd=Moment=80.09 (Refer to Figure 3) c²=d²/t² d²=t4 d=t² F/E=2.667/80.09=3.0033~c E=ct²=dc=d²/t d=√(|E|t) =√[(1.25)(2.236)] =1672 = Mass of a p+ CONCLUSION The Egyptian pyramids-a model of the space truss - were a testimony that ancient mathematical physicists and engineers knew these” secrets” of the Astro-theological model of the universe. Whether it goes back to Babylon, I suspect it does. Therefore the Three -Wise-Men were so highly regarded in the time of Christ at Bethlehem. They likely knew this physics. So did Jesus. Its encoded into the Hebrew Scriptures viz. Genesis. REFERENCES 1. Cusack, P., Astrotheology, Cusack’s Universe. J. of Physical Mathematics. Jan 2016. 2. Laursen, H. I Structural Analysis. McGraw Hill. 1969. AJMS, Sep-Oct, 2017, Vol. 1, Issue 5