Civil Engineering - Theory of Structures - Discussion

39. 

There are two hinged semicircular arches A, B and C of radii 5 m, 7.5 m and 10 m respectively and each carries a concentrated load W at their crowns. The horizontal thrust at their supports will be in the ratio of

[A]. 1 : 1 1/2 : 2
[B]. 2 : 1 1/2 : 1
[C]. 1 : 1 : 2
[D]. none of these.

Answer: Option C

Explanation:

No answer description available for this question.

Sagar said: (Dec 8, 2014)  
Answer is D because in this case horizontal trust is irrespective of radius of arch.

Snehal Wankhede said: (Sep 30, 2016)  
I think it is 1 : 1 : 1.

Amulya Rajbhar said: (Dec 3, 2016)  
Horizontal Trust of 2 Hinged Semicircular arch is independent of its Radius.

Horizontal Trust = W/pi.

Dibya said: (Mar 22, 2017)  
Yes, @Snehal.

It is 1 : 1 : 1.

Keshav Raidas said: (Jun 9, 2017)  
H = W/π. So D is the right answer.

Apcivilian said: (Jan 17, 2018)  
Agree the given answer is wrong.

It doesn't depend on radius.

So, the answer is D.

Monika said: (Oct 12, 2018)  
Which is the correct answer? Please explain me.

Pankaj said: (Mar 17, 2019)  
1:1:1.
H=w/π.
H Not depend on radius.

Parvat Kumar said: (Aug 8, 2019)  
Three hinged arches h is independent of radius hence ratio must be 1:1:1.

Prachi said: (Dec 20, 2019)  
General equation of horizontal thrust for this condition will be;
H = Wl/4h.
h = l/2.
5/2.5:7.5/3.75:10/5.
= 1:1:2.

Akshaya said: (Jun 20, 2020)  
Thank you @Prachi.

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