GPSC Civil Engineering (Combine Exam) Paper Solution (03-05-26) – Page 20

191) A pin-jointed plane truss has j joints and m members. For the truss to be statically determinate and stable, the condition is

1. m = 2j + 3
2. m = 2j – 2
3. m + 3 = 2j
4. m = j – 3

192) In a portal frame analysis using the Cantilever Method (approximate method for lateral loads), which of the following assumptions are made?

1. The point of contraflexure in each beam is at its midpoint.
2. The axial force in each column is proportional to its distance from the centroid of all columns.
3. The point of contraflexure in each column is at ¼ distance from base.
4. The shear in each column is equal.

1. 1 and 2 only
2. 1, 2 and 3 only
3. 2 and 3 only
4. 3 and 4 only

193) A fixed-fixed beam of span L, flexural rigidity EI, carries a central concentrated load P. What are the fixed end moments at the supports and the central deflection?

1. FEM = PL/4 (hogging); δ_centre = PL³/(192EI)
2. FEM = PL/6 (hogging); δ_centre = PL³/(384E1)
3. FEM = PL/8 (sagging); δ_centre = PL³/(48EI)
4. FEM = PL/8 (hogging); δ_centre = PL³/(192EI)

194) The carry-over factor and stiffness factor used in the Moment Distribution Method (Hardy Cross Method) for a prismatic beam member are respectively

1. Carry-over factor = 1/2; Stiffness = 4EI/L (for far end fixed)
2. Carry-over factor = 1/4; Stiffness = 4EI/L (for far end fixed)
3. Carry-over factor = 1/2; Stiffness = 3EI/L (for far end fixed)
4. Carry-over factor = 2/3; Stiffness = 2EI/L (for far end fixed)

195) For a single-degree-of-freedom (SDOF) undamped system with mass m and stiffness k, the natural frequency ωₙ and time period T are

1. ωₙ = √(m/k) rad/s; T = 2π√(k/m)
2. ωₙ = √(k/m) rad/s; T = 2π√(m/k)
3. ωₙ = k/m rad/s; T = 2πm/k
4. ωₙ = √(k/m) rad/s; T = π√(m/k)

196) The unit load method (Virtual Work Method) for finding deflection of a truss gives: δ = Σ (F⋅f⋅L)/(AE)

In this formula, F is the real force, f is the virtual force. Consider the following statements:

1. A unit virtual load is applied at the point where deflection is required in the desired direction.
2. The method can also find rotations by applying a unit virtual moment.
3. The method is applicable only to statically determinate trusses.

Which of the above statements is/are correct?

1. 1 and 2 only
2. 1, 2 and 3
3. 2 and 3 only
4. 1 only

197) In plastic analysis of structures, the collapse load for a propped cantilever of span L with a central point load P, if the plastic moment capacity is Mₚ is

1. P_collapse = 8Mₚ/L
2. P_collapse = 4Mₚ/L
3. P_collapse = 6Mₚ/L
4. P_collapse = 2Mₚ/L

198) In a closed traverse ABCDE, the sum of latitudes = + 0.18 m and the sum of departures = – 0.24 m. The closing error is

1. 0.18 m
2. 0.24 m
3. 0.30 m
4. 0.42 m

199) Consider the following statements regarding Remote Sensing:

1. Active remote sensing systems emit their own electromagnetic energy.
2. LIDAR is a passive remote sensing technique.
3. Multispectral scanners record data in several wavelength bands simultaneously.

Which of the above statements are correct?

1. 1 and 2 only
2. 1 and 3 only
3. 2 and 3 only
4. 1, 2 and 3

200) The ‘scale factor’ in Universal Transverse Mercator (UTM) projection at the central meridian is

1. 1.0000
2. 0.960
3. 1.0004
4. 0.9996