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Hello, I'am in need of assistance with my Calculus 1 Project, since
its math related and has some ties with technology thats why i posted it under this subject hoping someone can help me out. I have attached the instructions and also I have attached a "Project Example" of how the turn should basically be. Something simple but effective will really help. Thank you so much !!
Focus on Calculus
in Civil Engineering
Suppose you are a civil engineer. In 1919, the world’s longest
cantilever bridge
(Pont de Québec) was finally completed
after several failed attempts. The center cantilever span of 1800 feet remains the longest cantilevered bridge span in
the world. Suppose the Canadian National Railway wants you to describe the following key physical traits of the bridge
(curvature, shear force, height, and slope of the bridge span).
(a) If
ݔ
represents the position along the cantilever bridge span (with
ݔൌ0
being the left
‐
hand endpoint of the span),
match the calculus expression with the appropriate physical interpretation of the cantilever bridge span.
I.
ݓሺݔሻ
A. The curvature of the bridge span (at
ݔ
).
II.
ݓ′ሺݔሻ
B. The shear force of the bridge span (at
ݔ
).
III.
ݓ′′ሺݔሻ
C. The height of the bridge span (at
ݔ
).
IV.
ݓ′′′ሺݔሻ
D. The slope of the bridge span (at
ݔ
).
(b) Describe each of the physical interpretations in your own words and construct figures to illustrate your reasoning.
Construction of a cantilever bridge; one cantilever arm with another cantilever arm projecting in the opposite direction, forming a
balanced cantilever
.
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