Civil Engineering - UPSC Civil Service Exam Questions - Discussion

Discussion Forum : UPSC Civil Service Exam Questions - Section 8 (Q.No. 5)
5.
A three-hinged circular arch ACB is formed by two quadrants of circles AC and BC of radii 2R and R respectively with C as crown, as shown in the figure at side. Consider the following in respect of the reactive forces developed at support A and B due to concentrated load W at the Crown.
1. Line of action RA at A is inclined as 45° to the horizontal.
2. VA = VB = W/2
3. HB = 2 HA
4. HA = HB = W/2
Which of the above is/are correct ?
1 and 3
2 and 3
1, 2 and 4
4 only
Answer: Option
Explanation:
No answer description is available. Let's discuss.
Discussion:
4 comments Page 1 of 1.

Rahul verma said:   3 years ago
Va = Vb= W/2
by taking moment about crown get;
Vb = Hb = W/2
Va = Ha = W/2.

So, tanx = Va/Ha.
so the line of action is 45 degrees.
(1)

Subha Annadurai said:   7 years ago
Please Explain the answer.

Ramadas said:   7 years ago
Please explain.

Abc said:   6 years ago
Yes, option C is the correct answer.

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