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**Q.1 The figure shows a two-hinged parabolic arch span L subjected to a uniformly distributed load of intensity q per unit length.The maximum bending moment in the arch is equal to [2017 : 1 Mark, Set-I](a) qL**(C)

If a two hinged or three hinged parabolic arch is subjected to UDL throughout its length, bending moment is zero everywhere.

(a) 9.01 kN and 56.31

(b) 9.01 kN and 33.69

(c) 7.50 kN and 56.31

(d) 2.50 kN and 33.69

Ans.

Let the vertical reactions at left and right support be V

Taking moments about right support, we get,

Let the horizontal reaction at left support be Hfrom left to right.

Taking moments about the crown from left, we get,

⇒ H = 5kN

Resultant reaction,

Let the resultant reaction at the left support makes an angle θ with the horizontal.

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