6- A cable, of uniform weight per unit length (w=1 kN/m), is suspended between two points A and B and loaded with a deck of uniformly distributed load of 5 kN/m such that the slope of the cable dy/dx=0 at x=0 as shown below. Derive the differential equation of the shape of the cable then solve it using one step of the 2nd Runge-Kutta method (h=1m) to find the minimum tension in the cable if the deflection is measured as 1cm at x=1m. AD y cable X 5 kN/m B

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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6- A cable, of uniform weight per unit length (w=1 kN/m), is suspended between
two points A and B and loaded with a deck of uniformly distributed load of 5
kN/m such that the slope of the cable dy/dx=0 at x=0 as shown below.
Derive the differential equation of the shape of the cable then
solve it using one step of the 2nd Runge-Kutta
method (h=1m) to find the minimum
tension in the cable if the deflection
is measured as 1cm at x=1m.
A
y
cable
X
5 kN/m
B
Transcribed Image Text:6- A cable, of uniform weight per unit length (w=1 kN/m), is suspended between two points A and B and loaded with a deck of uniformly distributed load of 5 kN/m such that the slope of the cable dy/dx=0 at x=0 as shown below. Derive the differential equation of the shape of the cable then solve it using one step of the 2nd Runge-Kutta method (h=1m) to find the minimum tension in the cable if the deflection is measured as 1cm at x=1m. A y cable X 5 kN/m B
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