The cable system shown in Figure 4.25 carries a uniformly distributed load of 5 kN/m * between the supports and three point loads of 10 kN, 15 kN and 20 kN at 15 m interval. The horizontal distance between supports is 60m and the vvertical distance between the lowest point and the left support is 3m. The right support is 6m higher than the left support. Determine: i. the lowest point of the cable (x) ii. the maximum and minimum tension between A and B (Tmin and Tmax) iii. the tension in anchor cable (TA' and TB')

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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Civil Engineering
The cable system shown in Figure 4.25 carries a uniformly distributed load of 5 kN/m *
between the supports and three point loads of 10 kN, 15 kN and 20 kN at 15 m interval. The
horizontal distance between supports is 60m and the vvertical distance between the lowest
point and the left support is 3m. The right support is 6m higher than the left support.
Determine:
the lowest point of the cable (x)
ii.
i.
the maximum and minimum tension between A and B (Tmin and Tmax)
the tension in anchor cable (TA’ and TB')
vertical and horizontal reactions at supports (RAy, RAx and RBy, RBx)
size of the cable, if the allowable stress = 14000KN/m².
iii.
iv.
V.
B
30
6m
A
45°
3m
20 kN
15m
15m.
15m
15m
10 kN
15 kN
5 kN/m
Answers:
x = 22.54 m
Tmin = H = 473.38 kN ; Tmax = 522.99 kN
TA' = 489.01 kN; TB' = 546.61 kN
RAy = 468.44 kN; RAx = 127.60 kN ;
RBy = 495.64 kN and RBx= 0
d = 0.218 m
(ii)
(iii)
(iv)
(v)
Transcribed Image Text:Civil Engineering The cable system shown in Figure 4.25 carries a uniformly distributed load of 5 kN/m * between the supports and three point loads of 10 kN, 15 kN and 20 kN at 15 m interval. The horizontal distance between supports is 60m and the vvertical distance between the lowest point and the left support is 3m. The right support is 6m higher than the left support. Determine: the lowest point of the cable (x) ii. i. the maximum and minimum tension between A and B (Tmin and Tmax) the tension in anchor cable (TA’ and TB') vertical and horizontal reactions at supports (RAy, RAx and RBy, RBx) size of the cable, if the allowable stress = 14000KN/m². iii. iv. V. B 30 6m A 45° 3m 20 kN 15m 15m. 15m 15m 10 kN 15 kN 5 kN/m Answers: x = 22.54 m Tmin = H = 473.38 kN ; Tmax = 522.99 kN TA' = 489.01 kN; TB' = 546.61 kN RAy = 468.44 kN; RAx = 127.60 kN ; RBy = 495.64 kN and RBx= 0 d = 0.218 m (ii) (iii) (iv) (v)
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