Civil Engineering Arches Civil Engineering (CE) Notes | EduRev

Topic wise GATE Past Year Papers for Civil Engineering

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Civil Engineering (CE) : Civil Engineering Arches Civil Engineering (CE) Notes | EduRev

The document Civil Engineering Arches Civil Engineering (CE) Notes | EduRev is a part of the Civil Engineering (CE) Course Topic wise GATE Past Year Papers for Civil Engineering.
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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.
Civil Engineering Arches Civil Engineering (CE) Notes | EduRev
The maximum bending moment in the arch is equal to    [2017 : 1 Mark, Set-I]
(a) qL2/8
(b) qL2/12
(c) zero
(d) qL2/10
Ans.
(C)
Solution:
If a two hinged or three hinged parabolic arch is subjected to UDL throughout its length, bending moment is zero everywhere.

Q.2 A three hinged parabolic arch having a span of 20 m and a rise of 5 m carries a point load of 10 kN at quarter span from the left end as shown in the figure. The resultant reaction at the left support and its inclination with the horizontal are respectively    [2010 : 2 Marks]
Civil Engineering Arches Civil Engineering (CE) Notes | EduRev
(a) 9.01 kN and 56.310
(b) 9.01 kN and 33.690
(c) 7.50 kN and 56.310
(d) 2.50 kN and 33.690
Ans.
(A)
Solution:
Civil Engineering Arches Civil Engineering (CE) Notes | EduRev
Let the vertical reactions at left and right support be VL and Vupwards respectively.
Taking moments about right support, we get,
Civil Engineering Arches Civil Engineering (CE) Notes | EduRev
Let the horizontal reaction at left support be Hfrom left to right.
Taking moments about the crown from left, we get,
Civil Engineering Arches Civil Engineering (CE) Notes | EduRev
⇒ H = 5kN
Resultant reaction,
Civil Engineering Arches Civil Engineering (CE) Notes | EduRev
Civil Engineering Arches Civil Engineering (CE) Notes | EduRev
Let the resultant reaction at the left support makes an angle θ with the horizontal.
Civil Engineering Arches Civil Engineering (CE) Notes | EduRev 
Civil Engineering Arches Civil Engineering (CE) Notes | EduRev
Civil Engineering Arches Civil Engineering (CE) Notes | EduRev 

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