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UPSC Civil Service Exam Questions problems

1. The side AD of the square block ABCD as shown in the given figure is fixed at the base and it is under a state of simple shear causing shear stress ? and shear strain ?, where The distorted shape is AB'C'D. The diagonal strain (linear) will be
Options
A.
B.
C. ?2
D. ?

2. For designing end bearing piles of square cross-section in clays having average unconfmed compressive strength of 6 t/m², the net ultimate bearing capacity may be taken as
Options
A. 15 t/m²
B. 18 t/m²
C. 20 t/m²
D. 27 t/m²

3. A plot of land 60�m x 20 m is measure steel tape. If the standard error of length width measurements is taken as � 1 cm, the standard error of the area of the plot be
Options
A. � 0.1414 m²
B. � 0.566 m²
C. � 0.632 m²
D. � 0.8484 m²

4. A short column of external diameter D and internal diameter d, is subjected to a load W, with an eccentricity 'e', causing zero stress at an extreme fibre. Then the value of 'e' must be
Options
A.
B.
C.
D.

7. Purlins are provided, in industrial buildings, over roof trusses to carry dead loads, live loads and wind loads. As per IS code, what are they assumed to be?
Options
A. Simply supported
B. Cantilever
C. Continuous
D. Fixed

8. The ratio of total elongation of a bar of uniform cross-section produced under its own weight to the elongation produced by an external load equal to the weight of the bar is
Options
A. 2
B. 1
C. 1/2
D. 1/4

9. The rectangular block shown in the given figure is subjected to pure shear to intensity 'q'. If BE represents the i principal plane and the principal stresses are ?₁, ?₂ ; then the values of ?, ?₁ and ?₂ will be respectively.
Options
A. ?�, 90�; + q and - q
B. 30�, 120�; + q and - q
C. 45�, 135�; + and
D. 45�, 135�; + q and - q

10. According to ICAO recommendations, what is the rate of elevation correction for the runway above MSL?
Options
A. 1 % for every 100 m of elevation above MSL
B. 7 % for every 300 m of elevation above MSL
C. 2 % for every 500 m of elevation above MSL
D. 2 % for every 300 m of elevation above MSL

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