ARCHITECT

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ARCHITECT- TACTICS!
The Concepts Maths behind Engineering
Alex Elkins
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PRESENTATION AIMS
General Overview of Basic Construction
Principles Mathematical Analysis of the
BA-London Eye Engineering Catastrophes Tacoma
Narrows Conclusions
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FORCES
Graph to show how the amount of stress on a
material effects the amount of deformation caused.
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(No Transcript)
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Table to Show the Elastic Limit and Ultimate
Strength of Compression and Tension for Various
Materials
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The Propylaea The gateway of the Acropolis,
constructed in 437-432 B.C
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(No Transcript)
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BA-LONDON EYE
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(5200kN x 11m) (5200kN x 1m) 12m x T2cos
15.9 T2 5406kN
T2sin ? T1cos ? Fcos65
EQUATION 3
EQUATION 1
1476kN T1cos ? (17600kN T1sin ?)cos65 /
sin65 T1 15840kN
5200kN 5200kN 2000kN T1sin ? T2cos ?
Fsin65 F (17600kN T1sin ?) / sin65
EQUATION 4
EQUATION 2
F 17600kN (15840kN x sin42.35) / sin65

31190kN
EQUATION 5
F
F
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The Geometric Orientation of the A-Frame Legs, in
the Plane of the Legs.
2?sin ß F
EQUATION 6
Stress 15830kN / 0.3720m
42.55MPa.
EQUATION 7
The yield strength of the reinforced carbon steel
that was used for the legs of the London eye is
approximately 350MPa. Therefore, when the eye is
full to its maximum capacity the stress on the
legs is only 12 of the yield strength.
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Tacoma Narrows
lgt0, then Fs - kl , and if llt0, then Fs0.
EQUATION 8
K.E (vertical) (m/2) (dy/dt)
2
EQUATION 9
P.E.(vertical) -mgy
EQUATION 10
K.E (torsional) (m/6) L2 (dx/dt)
2
EQUATION 11
P.E.(torsional) (K/2) ( y - (L/2) sin x ) (
y (L/2) sin x )
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EQUATION 12
x'' c x' k sin(x) cos(x) f(t)
EQUATIONS OF MOTION
y c y (k/3) y g(t)
http//www.enm.bris.ac.uk/research/nonlinear/tacom
a/tacoma.htmlmpeg
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SUMMARY
General Overview of Basic Construction
Principles Mathematical Analysis of the
BA-London Eye Engineering Catastrophes Tacoma
Narrows