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UPSC Civil Service Exam Questions - Engineering

Q1:

A symmetrical circular arch of span 25 m with a central rise of 5 is hinged at crown and springings. It carries a point load on the arch in the span between the left hinge and central hinge. If the inclination of the thrust at the right hinge is θ measured from horizontal, then what is the value of tan θ ?

A 2.5

B 1.0

C 0.4

D Not possible to calculate with given data

ANS:C - 0.4

tan θ = dy/dx from right hand take central hinge as dy so it will be 5/12.5 = 0.4.