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 Question

The cable is subjected to a uniform loading of w = 60 kN/m. Determine the maximum and minimum tension in cable.

-100 m 12 m Probs. 5–16/17

Solution

Step 1 Solution:-

Civil Engineering homework question answer, step 1, image 1

Free Body Diagram

 

Step 2 Solution:-

y=1FH∫∫wdxdxIntegrating we get,y=1FH∫wdxdx+C1Again by integrating we get,y=1FHwx22+C1x+C2---equation 1Using the boundary conditions,x=0 and dydx=0C1=0Now,Substitutig the value of C1and C2 into the 1 st equation we get,y=1FHwx22---equation 2

 

Step 3 Solution:-

The above equation is parabolic.Now,x=50 m , y = 12mNow,from equation 212=1FH60*5022FH=6250kNnow,x=50m and θ=θmaxHence,dydxx=30m=tanθmax---equation 3Now,from equation 2dydx=wxFHdydxx=30m=60*506250dydxx=30m=0.48Now, from equation 3,0.48=tanθmaxθmax=tan-10.48θmax=25.641 degree

 

 

Step 4 Solution:-

FH=Tmaxcosθmax6250=Tmax*cos25.641Tmax=6932.71kNT=6.93MNMaximum tension in the cable is Tmax=6.93MNMinimum tension in cable exists when θ=0oNow,FH=Tmincos0Tmin=FHTmin=6250kNTmin=6.250MN

Step 5 Answer:-

Tmax=6932.71kN

Tmin=6.250MN

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A palindrome is a number or a text phrase that reads the same backwards as forwards. For example, each of the following five-digit integers is a palindrome: 12321, 55555, 45554 and 11611. Write a C++ program that reads in a five-digit integer and determines whether it is a palindrome .

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