telford, brunel and british metal forms · telford, brunel and british metal forms 1780’s to...
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Telford, Brunel and British Metal Forms
1780’s to 1880’s British Structural Engineering
New materials and new forms Form, forces, and efficiency in long span bridges Saltash vs. Britannia bridges and struggles with the discipline of economy
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Iron Bridge (100 ft [30.5 m]) - Abraham Darby - 1779
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Thomas Telford 1757-1834
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Telford’s Buildwas Br. - 1795
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Telford’s Buildwas Br. - 1795
Darby’s Iron Bridge - 1779
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Pont y Cysyllte Aqueduct - 1805
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Pont y Cysyllte Aqueduct - 1805
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Exercise: Write down at least one point under each ‘s’ for the Llangollen acqueduct
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Tour de France Telford/Eiffel video
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1810 Telford proposal for Menai Straits
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Still in 1810…
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now 1814
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Craigellachie Bridge - 1814 - 150 ft [46 m]
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Minute “paper”:
-Draw an alternative arrangement of members to connect the deck and arch of the Craigellachie bridge -Compare your results with your neighbor. Explain why you chose your arrangement
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Telford proposal for Runcorn Gap (1000 ft [305 m] span!, developed 1814 to 1818)
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Telford’s most famous work: Menai Straits
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Menai Straits Bridge - 1826 - 580 ft [177 m] (longest in the world at completion)
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Runcorn Gap proposal 1000 ft [305 m]
Menai Straits completed 580 ft [177 m]
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Clifton Bridge - I.K. Brunel - 1864 702 ft [214 m] (vs 580 ft [177 m] for Menai)
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Without calculations or research, what issues in the design do you think would affect the economy of these alternative bridge designs?
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Isambard Kingdom Brunel 1806-1859
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http://www.j-m-w-turner.co.uk/artist/turner-rain-steam.htm (visited 8 Sept 2003)
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© copyright Torbay Library Services
Brunel
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Britannia Bridge - Stephenson - 1850 460 ft [140 m] spans
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circa 1980’s
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Brittania today
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Saltash Bridge - Brunel - 1859 - 455 ft [139 m]
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Britannia Saltash
Efficiency Hollow box 460 ft span 7000 lb/ft
Lenticular 455 ft span 4700 lb/ft
Economy �198 /ft � 102 /ft
Elegance Form not expressive Form ambiguous
1 ft = 0.305 m 1 lbf = 4.45 N
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What considerations may have led to the very different (lenticular vs. suspension) bridges built
at the same location?
List as many as you can.
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Circling back to Brunel’s 1864 world’s longest Clifton Suspension Br.
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702 ft [214 m] main span, vs. 580 ft [177 m] at Menai
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1980’s
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2011
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1779 1814
1826 1859
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Eiffel Tower Structural Study
introduction to statics
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Tools and methods for structural analysis
Free body diagrams Equilibrium Load path
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Free Body Diagrams
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gravity
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gravity
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gravity
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gravity
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F
h =
+
M=Fh
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p=2.6 k/ft
P = wH P = (2.6)(984) P = 2600 kips
H = 984 ft
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gravity
reactions
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wind
gravity
reactions
gravity
reactionsC CCT
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wind
reactions
wind
reactions
=
T C M
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w
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T C
w
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w
M
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Civil Engineering Units• Lots of imperial units.. • The kip? kip = kilopound = 1000 lb • The psf? a pound per square foot
– say you weigh 150 lb and are standing on a part of the floor which is 1ft x 1ft, you are = 150psf
– other way – say a constant wind of 40 psf is blowing on a building which is 100ft x 100ft across – the force is 40psf X 100ft X 100ft = 40,000 lb
– 40,000 lb = 40 kips • Also… psi and ksi, pound/sq. in, and kip/sq. in
– Materials may be described as having limit stresses in psi or ksi, e.g., typical yield stress of steel = 50 ksi
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Equilibrium
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M
W
ΣMsection = 0 -> M - p(H-h)(H-h)/2 = 0
pH
h
H-hP = p(H-h)
(H-h)/2
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M
W
ΣMsection = 0 -> M - p(H-h)(H-h)/2 = 0
pH
h
H-hP = p(H-h)
(H-h)/2
M=[p(H-h)][(H-h)/2]=P(H-h)/2
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M
W
pH
h
H-hP = p(H-h)
(H-h)/2
M=[p(H-h)][(H-h)/2]=P(H-h)/2
CT
C = -T = M/w
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bending moment
loca
tion
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M
W
M=[p(H-h)][(H-h)/2]=p(H-h)2/2
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Load path
or, how the load travels to the ground
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Load PathAll forces or loads must eventually get to the ground.
Can we trace the path of tension of compression?
George Washington
Compression path
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Load PathAll forces or loads must eventually get to the ground.
Can we trace the path of tension of compression?
TruckT
C
T TT
C
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Load PathAll forces or loads must eventually get to the ground.
Can we trace the path of tension of compression?
locomotive
C
C
C
B B
Secondary load path