Civil Engineering - Applied Mechanics - Discussion

Discussion Forum : Applied Mechanics - Section 1 (Q.No. 11)
11.
A cable loaded with 0.5 tonne per horizontal metre span is stretched between supports in the same horizontal line 400 m apart. If central dip is 20 m, the minimum tension in the cable, will be
200 tonnes at the centre
500 tonnes at the centre
200 tonnes at the right support
200 tonnes at the left support.
Answer: Option
Explanation:
No answer description is available. Let's discuss.
Discussion:
15 comments Page 2 of 2.

Tejas Rahane said:   6 years ago
Central dip h=(wl^2)/8P.
h= dip.
l = span.
P=pull.
w=load.

Zeba khan said:   6 years ago
What is the maximum pull in the cable?

Mala said:   6 years ago
Support reactions V = (0.5x 400)/2 = 100 t.
For horizontal trust, equate Mc =0 , moment at centre.
100*200-20*H-0.5*200*100= 0,
=> H = 500.

Tmax = √ (V^2+ H^2).
Tmin = H.

At center.
Hence the answer is 500t at centre.

Shobhit pal said:   5 years ago
Center of dip = (wl'2/8p).

Susheel kumar said:   4 years ago
Tmin = H,
Tmax = (H^2+V^2)^1/2.
H=wl2/8h.

Minimum tension will be at dip or center.
Maximum tension will be at support.


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