The height above the ground of a suspended cable is given by h = 20 + cosh x where x is the distance measured from…

The height above the ground of a suspended cable

is given by h = 20 + cosh x where x is the distance measured from the centre of

the suspended cable.

Determine

the height of the cable 2.5m from the centre of the span.

A barrier is being constructed to separate a

body of water into two sections, section A and section B. Due to fluctuations

in the tide the depth in metres of the water in the two sections can be modelled

with the following equations.

,

Solve the above equations

and calculate when the height of the two sections become equal.

Biodegradable materials such as geotextiles can

be used for ground improvement and soil erosion control with a limited

lifespan.

A polymer-based geotextile

is used to increase the maximum load per unit area that the ground on a

construction site can support. The increase in this maximum load per unit area

can be modelled by the equation:

Where

is measured

in Newtons per square metre,

is the time

in years

If

is initially

5

and after 2

years it drops to half it’s original value, calculate the values of

and B, rewriting the equation given with the

values calculated.How long will it take for the value of F to drop to 10% of it’s initial value?

The post A barrier is being constructed to separate a body of water

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